Answers
Notice that the figure is a right triangle; therefore, its area is given by the formula
\(A=\frac{1}{2}b\cdot h_{}\)In our case, b=4cm and h=3cm; thus,
\(\begin{gathered} \Rightarrow A=\frac{1}{2}\cdot4\cdot3=\frac{1}{2}\cdot12=6 \\ \Rightarrow A=6 \end{gathered}\)Therefore, the answer is 6 cm^2, the first option (top to bottom)
Related Questions
9. The length of a garden is 2w + 4 and the width is w. What is the area of the garde
Answers
294738917263748hehejshdhf
simplify
6x + 7y - 4x + 2y
Answers
Answer:
yes.
Step-by-step explanation:
...
Answer:
2x+9y
Step-by-step explanation:
Used math.way hope this helps
Please Help! This is due in 3 hours!
Answers
Answer:
Jayden: 9t+3s=420
Carson: 1t+6s=296
Step-by-step explanation:
I hope that helps =)
I'LL MARK THE BRAINLIEST!
What is the best approximation of the area of a circle with a diameter of 17 meters?
Use 3.14 to approximate pi.
Answers
the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99m².
Why it is and what is diameter?
The diameter of the circle is 17 meters, which means the radius is half of the diameter, or 8.5 meters.
The formula for the area of a circle is:
A = πr²2
where A is the area and r is the radius.
Substituting the value of the radius into the formula, we get:
A = 3.14 x 8.5²2
A = 3.14 x 72.25
A ≈ 226.99
Therefore, the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99 m².
In geometry, the diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. It is the longest chord (a line segment connecting any two points on a circle) of the circle, and it divides the circle into two equal halves, also known as hemispheres.
To know more about Circle related questions visit:
https://brainly.com/question/22874193
#SPJ1
The distance around a triangle is 40 centimeters. If two sides are equal and the length of the third side is 10 centimeters, what is the length of each of the other two sides?
Answers
Answer:
15 centimeters each = the two other sides of the triangle is 30 cm.
Step-by-step explanation:
Tom is 10 years younger than Becky. In two years, Becky will be twice as old as Tom. How old is Tom now?
Answers
Answer:
20
Step-by-step explanation:
Answer:
tom is 8 and becky is 18 now
Step-by-step explanation:
in two years becky would be 20 and tom will be 10
hope this helps
What is the shape of the cross section
Answers
Answer:polygon
Step-by-step explanatiopolygon
1. You pay $10 to play the following game of chance. There is a bag containing 12 balls, five are red, three are
green and the rest are yellow. You are to draw one ball from the bag. You will win $14 if you draw a red ball and
you will win $12 is you draw a yellow ball. How much do you expect to win or loss if you play this game 100
times?
O a
-2.40
Ob -1.67
Oc -16.67
Od -24.00
Answers
Answer:
Step-by-step explanation:
Solve for the inverse of: f(x)=1/8(x+1)^3
Answers
Answer: \(y=(8x)^{\frac{1}{3}} -1\) or \(y=\sqrt[3]{8x} -1\)
Step-by-step explanation:
To find the inverse, you switch y with x and x with y. Then, you solve for y.
\(y=\frac{1}{8} (x+1)^3\) [switch y with x and x with y]
\(x=\frac{1}{8} (y+1)^3\) [multiply both sides by 8]
\(8x=(y+1)^3\) [cube both sides]
\(\sqrt[3]{8x} =y+1\) [subtract both sides by 1]
\(y=\sqrt[3]{8x} -1\) or \(y=(8x)^{\frac{1}{3}} -1\)
Simplify Negative 3 over 2 divided by 9 over 6. −4 −1 4 1
Answers
Answer:
Step-by-step explanation: -3/2 divided by 9/6
= -3/2 multiply (to divide fractions we multiply by their recipical) 6/9
Then, simplify
= -3/3 = 1
Answer: -1
Hope this helps lol
The simplified result is -1. The correct option is b.
Given that:
Expression, -3/2 ÷ 9/6
To solve the given expression, follow as:
Rewrite the division as multiplication by the reciprocal of the second fraction.
-3/2 ÷ 9/6 = -3/2 × (6/9)
Now, simplify the fractions:
-3/2 × (6/9) = -3/2 × (2/3)
-3/2 × (6/9) = - (3 × 2)/(2 × 3)
-3/2 × (6/9) = -6/6
Finally, the simplified expression is -6/6. However, further simplify it by dividing the numerator and denominator by their greatest common divisor, which is 6:
-6/6 = -1
So, the simplified result is -1. The correct option is b.
Learn more about Divide here:
brainly.com/question/29464370
#SPJ3
Complete question:
Simplify Negative 3 over 2 divided by 9 over 6.
a. −4
b. −1
c. 4
d. 1
One shirt at H&M cost $7. what is the cost of 40 shirts
Answers
Answer:
$280
Step-by-step explanation:
7•40=$280
The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.
Answers
Answer:
Therefore, the correct statements are A, B, and E.
Explanation:
Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.
To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀
.
- The component form of −4⇀
is obtained by multiplying each component of ⇀
by –4. Therefore, −4⇀
= ⟨–8, –12⟩. This means that statement A is true.
- The magnitude of −4⇀
is obtained by multiplying the magnitude of ⇀
by 4. The magnitude of ⇀
is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀
is 4√13. This means that statement B is true.
- The direction of −4⇀
is opposite to the direction of ⇀
because the scalar –4 is negative. This means that statement C is false.
- The vector −4⇀
is in the third quadrant because its components are both negative. This means that statement D is false.
- The direction of −4⇀
is 180° greater than the inverse tangent of its components because it is opposite to ⇀
. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀
is 180° + tan^(-1)(3/2). This means that statement E is true.
Therefore, the correct statements are A, B, and E.
answer for this it’s to hard for me
Answers
Answer:
Option A
Step-by-step explanation:
From the graph given in the picture,
Function 1
Rate of change = Slope of the line
Slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is,
Slope = \(\frac{y_2-y_1}{x_2-x_1}\)
Therefore, slope of the given line which is passing through (1, 2) and (-1, -2)will be,
Rate of change = \(\frac{2+2}{1+1}\) = 2
Function 2
Equation of the line is,
y = \(\frac{1}{2}x+7\)
By comparing this equation with slope-intercept form of the equation,
y = mx + b
Here m = rate of change Or slope of the linear function
Rate of change of function 2 = \(\frac{1}{2}\)
Therefore, rate of change of function 1 is higher than function 2.
Option A will be the answer.
6th grade math help :D..
Answers
Answer:
1. A
Because 0.08*24= $1.92
2. C
Because 0.09*15=$1.35
Answer:
1.A
2.C
Step-by-step explanation:
Find the open intervals where the function is increasing and the intervals where the function is decreasing. Determine the relative extreme of the function. F(x)=x^3-5x^2+8x
Answers
Solution
We are given the function
\(f(x)=x^3-5x^2+8x\)First, we will find the critical point. To find the critical points, we set f'(x) = 0
\(\begin{gathered} f(x)=x^{3}-5x^{2}+8x \\ By\text{ differentiating} \\ f^{\prime}(x)=3x^2-10x+8 \end{gathered}\)Now, we set f'(x) = 0
\(\begin{gathered} f^{\prime}(x)=3x^{2}-10x+8 \\ 3x^2-10x+8=0 \\ (3x-4)(x-2)=0 \\ x=2,\frac{4}{3} \end{gathered}\)So we have to split the interval into
\((-\infty,\frac{4}{3}),(\frac{4}{3},2),(2,\infty)\)We check the intervals
\(\begin{gathered} On\text{ the interval }(-\infty,\frac{4}{3}) \\ f^{\prime}(x)\text{ is always positive} \\ Therefore,\text{ f is increasing on this interval} \end{gathered}\)The next interval
\(\begin{gathered} On\text{ the interval }(\frac{4}{3},2) \\ f^{\prime}(x)\text{ is negative on this interval} \\ Therefore,\text{ f is decreasing on the interval} \end{gathered}\)The last interval
\(\begin{gathered} On\text{ the interval }(2,\infty) \\ f^{\prime}(x)\text{ is positive on this interval} \\ Therefore,\text{ f is increasing on the interval} \end{gathered}\)The graph of the function is given below
The function is increasing on the interval
\((-\infty,\frac{4}{3})\cup(2,\infty)\)The function is decreasing on the interval
\((\frac{4}{3},2)\)Local Minimum
\(\begin{gathered} f(2)=4 \\ Local\text{ minimum is 4} \\ x\text{ value is 2} \end{gathered}\)Local Maximum
\(\begin{gathered} f(\frac{4}{3})=\frac{112}{27} \\ Local\text{ maximum is }\frac{112}{27} \\ x\text{ value is }\frac{4}{3} \end{gathered}\)
Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!
30p each
Pack of 10
pencils for £2
Answers
Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20
How is the lowest amount determined?The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).
If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].
Pencils for sale
30p each
Pack of 10 pencils for £2
Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.
Learn more about mathematical operations at https://brainly.com/question/4721701.
#SPJ1
PLEASE HELP ME FAST!!!!!
Below are the data collected from two random samples of 500 American adults on the number of hours they work per day (rounded to the nearest hour):
Number of hours of work per day 6 7 8 9 10
Sample A: Number of adults 60 90 145 150 55
Sample B: Number of adults 70 80 140 145 65
Ryan concludes that adults spend a mean of 8 hours working each day. Malia thinks the mean is 9 hours. Who is correct—Ryan or Malia? Explain your answer in two or three sentences. Make sure to use facts to support your answer. (10 points)
Answers
The average number of hours that adults spend working each day is 8 hours and Ryan is correct because he got the average of 8 right.
We know that,
The sample mean is a statistic that is computed by taking the arithmetic mean of the values of a variable in a sample. If the sample is taken from probability distributions with a shared expected value, the sample mean is an estimator of that value.
The mean is gotten from the formula;
x' = ∑x/n
Number of hours of work per day are; 6, 7, 8, 9 and 10
Thus; sum up all of it
∑x = 6 + 7 + 8 + 9 + 10
∑x = 40
Mean is; x' = 40/5
x' = 8
Since Ryan concluded that the average is 8 hours,
Therefore,
We can say that Ryan is correct.
Read more about mean of data at;
brainly.com/question/24245867
#SPJ1
What is the GCF of x2(x + y)(x - z) and x(x - y)(x - z)?
x(x - z)
x
x2(x - z)
(x - z)
Answers
Answer:
1. x² 2. x
Step-by-step explanation:
For these problems, there actually pretty easy. What you do is the numbers like x2 are x times 2. So like if x is 3, it would be equal to 6 because 3 times 2 is 6. Easy, right?
But this time, its asking you for GCF. It's more harder, but it will be easy after you understand it.
#1
So its organize the equation. So x2 gets simpifiled to x times 2. x*2 is double the amount. x + y and x - z. Take the x's that is 2 x's. So x2. Then y and z which are unknown has the value left. And 1 more thing. Since there is no operation, it turns in to times/multiply. Please don't ask why. Ask it in a new question. So you can cross them off and multiply x2 with y times z. The equation now is basically x2 y times z). y times z. Again, the numbers are unknown. So you need to count them as zero. Add 2 zero's together is 0. Add x2 to 0. Which is x2.
You can now do problem 2 by yourself after you read the explaination. Remember, your answer isn't always like this type of explaination. Some ones work, try this for all your problems related. See if it works.
Therefore, the GCF of x2(x + y)(x - z) is x2
The GCF of the expressions x²(x + y)(x - z) and x(x - y)(x - z) is x(x - z).
What is Expression?An expression is combination of variables, numbers and operators.
The given expressions are x²(x + y)(x - z) and x(x - y)(x - z).
To find the GCF, we need to find the common factors that are present in both expressions.
We can see that both expressions have a factor of x and a factor of (x - z). So, the GCF is x(x - z).
Therefore, the GCF of x²(x + y)(x - z) and x(x - y)(x - z) is x(x - z).
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
When making homemade ice cream in a hand-cranked freezer, the tub containing the ice cream mix is surrounded by a brine (water/salt) solution. To freeze the ice cream mix rapidly so that smooth and creamy ice cream results, the brine solution should combine crushed ice and rock salt in a ratio of 5 to 1. A small ice cream freezer requires cups of crushed ice. How much rock salt should be mixed with the ice to create the necessary brine solution?
Answers
If the ratio of crushed ice to rock salt is 5 to 1, for every 5 cups of crushed ice, 1 cup of rock salt is needed.
To find out how much rock salt is needed for the small ice cream freezer, you can use this formula:
Rock Salt = (Crushed Ice / 5) * 1
If the small ice cream freezer requires cups of crushed ice, then:
Rock Salt = (5 cups / 5) * 1 cup
Rock Salt = 1 cup
So, you will need 1 cup of rock salt to mix with the 5 cups of crushed ice to create the necessary brine solution.
The mug is 5/8 full, the mug contains 3/4 of water find the capacity of the mug
Answers
The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).
What is capacity?It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.
In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.
Let the capacity of the mug be x.
Given,
Mug is 5/8 full and contains 3/4 of water
So, 5/8 of the mug is filled with water
Therefore,
5/8 of x = 3/4
(5/8 )x = (3/4)
x = (3/4) × (8/5)
x = (24/20)
x = 1.2
Therefore, the capacity of the mug is 1.2.
For more questions related to gallons
https://brainly.com/question/26007201
#SPJ1
Is y = 2x + 5 proportional
Answers
Answer:
yes
Step-by-step explanation:
becaise you can solve it
X (-9, 2) and Y(5, -4)
Given the points, find XY. Round to the nearest tenth.
Answers
Answer:
XY: 15.23
Step-by-step explanation:
Smartness
The distance between the endpoints of line segment XY will be 15.2 units.
What is the distance between two points?It is the measure of distance between the two points and is known as length. The length is measured in meters generally.
Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The endpoints of line segment XY are given below.
X(-9, 2) and Y(5, -4)
The distance between the endpoints of line segment XY will be given as,
D² = (x - h)² + (y - k)²
D² = (5 + 9)² + (-4 - 2)²
D² = (14)² + (-6)²
D² = 196 + 36
D² = 232
D = √232
D = 15.2 units
The distance between the endpoints of line section XY will be 15.2 units.
Learn more about the distance between two points here:
https://brainly.com/question/18296211
#SPJ2
Question 5(Multiple Choice Worth 1 points)
(08.02 LC)
Complete the square to transform the expression x2 − 2x − 2 into the form a(x − h)2 + k.
(x − 1)2 + 3
(x − 1)2 − 3
(x − 2)2 − 3
(x − 2)2 + 3
Answers
The expression x2 − 2x − 2 can be transformed into the form (x − 1)2 +-3.
Completing the square is a technique used to convert a quadratic expression of the form ax^2 + bx + c into the form a(x - h)^2 + k, where (h, k) represents the coordinates of the vertex of the quadratic function.
To complete the square, we need to add and subtract the square of half of the coefficient of x from the expression.
Starting with x2 − 2x − 2:
x2 − 2x − 2 = x2 - 2x + (-2)
We take half of the coefficient of x, which is -1, and square it to get 1.
x2 - 2x + 1 - 1 - 2 = (x - 1)2 - 3
Therefore, the expression x2 − 2x − 2 can be transformed into the form (x − 1)2 − 3, which is an option (B).
To know more about squares visit:
https://brainly.com/question/14198272?
#SPJ1
Consider the function f(x) = 3x + 1 and the graph of the function g(x) shown below.
A coordinate plane linear graph function shows a line intersecting Y-axis at minus 5 and X-axis at 1.5.
The graph g(x) is the graph of f(x) translated units , and g(x) =
Answers
g(x) is a translation of 6 units downwards.
How to identify the translation that generates g(x)?
Here we have the function:
y = f(x) = 3x + 1
Notice that the y-intercept of f(x) is:
f(0) = 3*0 + 1 = 1
The y-intercept of f(x) is y = 1.
Now, we know that the y-intercept of g(x) is -5. then:
g(x) = 3x - 5 = f(x) - 6
Meaning that g(x) is a translation of 6 units downwards.
If you want to learn more about translations:
https://brainly.com/question/24850937
#SPJ1
Answer:
translated 2
units up
g(x)= f(x-2)
Step-by-step explanation:
Jimmy needs to know how tall one of his trees is before he calls the tree removal company. He knows the height of a flag pole in his yard is 35 ft. At the same time the flagpole casts a shadow of 7 ft, the tree casts a shadow of 6.7 ft. How tall is the tree (round to the nearest foot)?
Answers
Solution:
Given:
The sketch of the scenarios;
By similar triangles,
\(\begin{gathered} \frac{35}{7}=\frac{h}{6.7} \\ Cross\text{ multiplying;} \\ 7h=35\times6.7 \\ 7h=234.5 \\ h=\frac{234.5}{7} \\ h=33.5ft \\ \\ To\text{ the nearest foot,} \\ h=34ft \end{gathered}\)Therefore, to the nearest foot, the tree is 34 feet tall.
which is equal to (sinx+cosx)^2+(sinx-cosx)^2 using identities?
Answers
The expression (sinx + cosx)^2 + (sinx - cosx)^2 simplifies to
4 + 2sinxcosx.How to simplify the identityTo simplify the expression (sinx + cosx)^2 + (sinx - cosx)^2 using trigonometric identities, we can expand and simplify the expression.
Expanding the squared terms
(sin^2x + 2sinxcosx + cos^2x) + (sin^2x - 2sinxcosx + cos^2x)
Using the trigonometric identity sin^2x + cos^2x = 1, we can simplify further:
(1 + 2sinxcosx + 1) + (1 - 2sinxcosx + 1)
Simplifying the expression, we have:
2 + 2sinxcosx + 2
Combining like terms, we get:
4 + 2sinxcosx
Learn more about identities at
https://brainly.com/question/7331447
#SPJ1
Five houses in the neighborhood sold this month for the following prices:
$328,000, $297,500, $415,000, $389,000, $345,000.
The house with the highest selling price sold for how much more than the median selling price?
Answers
Answer:
70,000
Step-by-step explanation:
Median= 345,000
Higest selling house= 415,000
415,000-345,000= 70,000
Calculating Distance around a Polygon
Quick
Check
2.5 cm
Tanya likes to take walks around the pentagonal
garden at her local park. The garden on the left has
congruent sides.
2.5 cm
2.5 cm
If Tanya starts at one vertex of the pentagon and walks
all the way around the garden, how far has she walked
in total?
2.5 cm
2.5 cm
Answers
Answer:
12.5cm
Step-by-step explanation:
Each side of the pentagonal garden has a length of 2.5 cm.
A pentagon has 5 sides.
Since the garden has congruent sides, all its lengths are equal.
Therefore:
Distance Walked by Tanya
= 5 X 2.5
=12.5cm
Tanya has walked 12.5cm in total.
Estimate then find the quotient 2,800÷25
Answers
Answer:
112
Step-by-step explanation:
In how many ways can a hand of 10 clubs be chosen from an ordinary deck?
Answers
Question: In how many ways can a hand of 10 clubs be chosen from an ordinary deck?
Answer:They have 52 cards in a deck. They have 10 clubs. The chance of pulling one is 27%. You can pull up to 10 of the clubs since that is how many theyy have.
They have many ways to pull one: First pass them out and see what you have: look through them a pick it up or just buy a single one
Step-by-step explanation: Byee stay safe: Wear your mask, drink water and stan bts
also can I have brainliest