Answer:
The slope of the line is 1.
Step-by-step explanation:
To solve this problem, we should use the equation for slope, which is given below:
slope = m = (y2-y1)/(x2-x1)
We can now plug in two points that are given in the table.
slope = m = (9-5)/(9-5)
We can simplify our expression for slope by first computing the subtraction inside the parentheses.
slope = m = 4/4
If we simplify the expression further by dividing the numerator by the denominator, we get:
slope = m = 1
Therefore, the correct answer is slope = 1.
Hope this helps!
Enter the number that belongs in the green box
The angle measure that belongs in the green box is given as follows:
70.67º.
What is the law of sines?We consider a triangle with side lengths and angles related as follows, as is the case for this problem:
Side length of a is opposite to angle A.Side length of b is opposite to angle B.Side length of c is opposite to angle C.Then the lengths and the sines of the angles are related as follows:
sin(A)/a = sin(B)/b = sin(C)/c.
The relation for this problem is given as follows:
sin(x)/12 = sin(76º)/12.34
Applying cross multiplication, the missing angle measure is given as follows:
sin(x) = 12 x sine of 76 degrees/12.34
sin(x) = 0.9436.
x = arcsin(0.9436)
x = 70.67º.
More can be learned about the law of sines at https://brainly.com/question/4372174
#SPJ1
Find the volume of the solid.
Answer:
64cm³
Step-by-step explanation:
( 4 x 4 x 4) cm x cm x cm
What is the point on the graph of f(x+5)
Answer:
=fx+5f
Step-by-step explanation:
=fx+5f
In ACDE, ECDE and m D = 11°. Find m_E.
Given the triangle CDE
\(EC\cong DE\)So, it is an isosceles triangle
The vertex will be angle E
so, the measure of angle C = the measure of angle D
Given:
\(\begin{gathered} m\angle D=11 \\ m\angle C=11 \end{gathered}\)The sum of the angles = 180
\(\begin{gathered} m\angle E+m\angle C+m\angle D=180 \\ m\angle E+11+11=180 \\ m\angle E+22=180 \\ m\angle E=180-22 \\ \\ m\angle E=158 \end{gathered}\)So, the answer is the measure of angle E = 158
The diameter of a bicycle wheel is 60 centimeters. How far does the wheel travel when it makes 35 revolutions? Give your answer in. meters( Math in focus singapore math course 1 B)
Answer:
The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.
In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:
C = pi x d = 3.14 x 60 = 188.4 centimeters
When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:
distance = 35 x circumference = 35 x 188.4 = 6584 centimeters
We can convert centimeters to meters by dividing the distance by 100:
distance = 6584 ÷ 100 = 65.84 meters
Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.
Show ur work
And
Check it
Answer:
a=10
Step-by-step explanation:
First combine like terms.
a+4=14
So you have to subtract 4 from both sides.
So it will look like this this:
a=14-4
so now you have to subtract.
So your answer will be a=10 because there is nothing s we can do.
I hope this helps :)
Find the missing side lengths, put answer as radical in simplest form
Look at picture for reference
The value of the missing side lengths x and y are 5√2 and 5 respectively.
What is the value of side length x and y?The figure in the image is a right triangle.
Angle θ = 45 degree
Hypotenuse = x
Opposite to angle θ = y
Adjacent to angle θ = 5
To solve for side x and side y, we use the trigonometric ratio.
Note that:
Cosine = adjacent / hypotenuse
tangent = opposite / adjacent
Solving for x:
Cosine = adjacent / hypotenuse
Plug in the values
cos( 45 ) = 5/x
x = 5 / cos( 45 )
x = 5√2
Solving for side y:
tangent = opposite / adjacent
Plug in the values
tan( 45 ) = y/5
y = tan( 45 ) × 5
y = 5
Therefore, the value of side length x is 5 units.
Learn more about trigonometric ratio here: brainly.com/question/28016662
#SPJ1
Help me please I need help x^2 - 8x + 16
The set of factors used to factor the given trinomial are -4 and -4. Therefore, option C is the correct answer.
The given trinomial is x²-8x+16.
Factors of 16 Sum of factors
-1 and -16 -1+(-16)=-17
-2 and -8 -2+(-8)=-10
-4 and -4 -4+(-4)=-8
The set of factors would used to factor the trinomial are -4 and -4.
Therefore, option C is the correct answer.
To learn more about the factorisation of polynomial visit:
https://brainly.com/question/16789195.
#SPJ1
Solve the formula for a
Answer:
Given formula:
\(S = a(1-r^n)/(1-r)\)Solving for a:
\(S(1-r) = a(1-r^n)\)\(a = S(1-r)/(1-r^n)\)\(\\ \tt\longmapsto S=\dfrac{a(1-r^n)}{1-r}\)
Use cross multiplication\(\\ \tt\longmapsto S(1-r)=a(1-r^n)\)
\(\\ \tt\longmapsto a=\dfrac{S(1-r)}{1-r^n}\)
Antonio has a balance of -$12.00 in his checking account. If he deposits a check for $373.00, what will be the balance in his account?
Answer:
$361
Step-by-step explanation:
add -12.00 +373.00 and its bassically subtracing 12 from 373 but yea
Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
A rectangular prism is filled exactly with 605 cubes. Each cube has edge length 1/5 cm.
What is the volume of the rectangular prism?
The volume of the rectangular prism is 4.84 cm cube.
How to find the volume of the rectangular prism?A rectangular prism is filled exactly with 605 cubes. Each cube has edge
length 1 / 5 cm. Therefore, the volume of the rectangular prism can be
calculated as follows:
volume of each cube = l³
volume of each cube = (1 / 5)³
volume of each cube = 1 / 125 cm³
Therefore,
volume of the rectangular prism = 605 × 1 / 125
volume of the rectangular prism = 605 / 125
volume of the rectangular prism = 4.84 cm³
learn more on rectangular prism here: https://brainly.com/question/29175503
#SPJ9
Tom used the following steps to find the inverse of f(x), but he thinks he made an error.
Answer:
4
Step-by-step explanation:
He made the mistake in step 4
The correct step should be x +2 as two had the sign "-" when it was on the other side
Tom made a mistake in step 4, and to correct the mistake he should add 2 on both sides in step 4.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
Step 1: f(x) = 4x - 2
Step 2: y = 4x - 2
Step 3: x = 4y - 2
Step 4: x + 2 = 4y (add 2 on both sides)
Thus, Tom made a mistake in step 4, and to correct the mistake he should add 2 on both sides in step 4.
Learn more about the function here:
brainly.com/question/5245372
#SPJ5
A 2 meter television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. The camera’s angle of elevation to the shuttle is 32° at this specific time . Find the height of the shuttle.
To find the height of the shuttle, we can use trigonometry and the concept of similar triangles. The height of the shuttle is approximately 468.675 meters.
Let's assume that the height of the shuttle is represented by 'h' meters. From the information given, we know that the distance between the camera and the launch pad is 750 meters, and the angle of elevation from the camera to the shuttle is 32 degrees.
Using trigonometry, we can set up the following equation:
tan(32°) = h / 750
To find the value of h, we can rearrange the equation:
h = tan(32°) * 750
Using a calculator, we can find the value of tan(32°) ≈ 0.6249.
Now we can calculate the height of the shuttle:
h ≈ 0.6249 * 750
h ≈ 468.675 meters
Therefore, the height of the shuttle is approximately 468.675 meters.
For more such questions on trigonometry
https://brainly.com/question/24349828
#SPJ8
\(\frac{7}{12} + \frac{2}{3} =\)
Gabriela has dinner at a café and the cost of her meal is $45.00. Because of the service, she wants to leave a 15% tip. What is the total cost of her meal?
Answer:
the answer is 51.75
Step-by-step explanation:
7. In the drawing below, identify the following. (This is NOT multiple choice!)
A) Alternate Interior Angles
B) Alternate Exterior Angles
C) Consecutive Interior Angles
D) Corresponding Angles
Please help :solve the inequality: 6p-20>-36+10p
Answer:
c.p<-1
Step-by-step explanation:
im good at math
Expand this equation
Answer:
Step-by-step explanation:
First multiply 9x3
=\(27xy^4x^3y\)
give the terms that dont have a exponent a 1
=\(27x^1y^4x^3y^1\)
Multiply terms with the same base
\(27x^{1+3} y^4x^3y^1\)
Multiply terms of same base
\(27x^{1+3}y^{4+1}\)
Just add all the exponents
\(27x^{4}y^{5}\)
Write the following ratio as a fraction in lowest terms:
4.4 g to 1.2 pounds
Answer:
3 2/3
Step-by-step explanation:
Hope this is right
Answer: 3 2/3
Step-by-step explanation:
A rectangular tank with a square base, an open top, and a volume of 19 comma 65219,652 ft cubedft3 is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area.
Answer:
34 and 17 feet.
Step-by-step explanation:
We have that the volume is given by:
V = x * x * y = (x ^ 2) * y
The surface area of the tank would be: x ^ 2 + x * y + x * y + x * y + x * y
SA = x ^ 2 + 4 * x * y
we know that the volume is 19652, replacing it would remain:
19652 = (x ^ 2) * y, we solve for y:
y = 19652 / (x ^ 2)
replacing in SA we are left with:
SA = x ^ 2 + 4 * x * 19652 / (x ^ 2)
SA = x ^ 2 + 70608 / x
we derive and equal 0:
SA´ (x) = 2 * x - 70608 / (x ^ 2) = 0
2 * x = 70608 / (x ^ 2)
x ^ 3 = 39304
x = 34
for and would be:
y = 19652 / (34 ^ 2) = 17
dimensions are 34 and 17 feet.
A horse owner needs to replace four sections of a coral for the horses. The first section
needs 26 yards of fencing, the second needs 10 3/5, the third, 10 1/5 yards, and the fourth,
8 3/10 yards. How many yards are needed to repair four sections of the fencing?
10
Answer:
55 1/10 yd
Step-by-step explanation:
26 + 10 + 3/5 + 10 + 1/5 + 8 + 3/10 =
= 54 + 4/5 + 3/10 =
= 54 + (8 + 3)/10 =
= 54 + 11/10 =
= 54 + 10/10 + 1/10 =
= 54 + 1 + 1/10 =
= 55 1/10
Answer:
55\(\frac{1}{10}\)
Step-by-step explanation:
Convert all the mixed numbers to fractions with a common denominator (10) then add them up:
26 + 53/5 + 51/5 + 83/10 =
26 + 106/10 + 102/10 + 83/10 =
26 + 291/10 =
26 + 29\(\frac{1}{10}\) = 55\(\frac{1}{10}\)
Using the information below, answer the next 3 questions: The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10. Suppose that 16 individuals are randomly chosen. For the group of 16, find the probability that the average percent of fat calories consumed is more than thirty-five (Round to 3 decimal places)
Answer: 0.655
Step-by-step explanation:
Let X be a random variable that represents percent of fat calories that a person in America consumes each day.
As per given , X is normally distributed with a mean \(\mu=36\) and a standard deviation \(\sigma=10\).
Sample size : n= 16
The probability that the average percent of fat calories consumed is more than 35:
\(P(\overline{X}>35)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{35-36}{\dfrac{10}{\sqrt{16}}})\\\\=P(Z>\dfrac{-1}{\dfrac{10}{4}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>\dfrac{-4}{10})\\\\=P(Z>-0.4)\\\\=P(Z<0.4)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.655\ \ \ [\text{By p-value table}]\)
Hence, Required probability =0.655
assuming that water has a density of exactly 1 g/cm3, find the mass of 1.55 cubic meter of water in kilograms.
Answer to your question is 158kg
Help PLZZ no files PLZZ
Answer:
34m of glass
Step-by-step explanation:
(I'm a visual learner so I'll have a picture of my work as well)
okay, you're going to want to separate this into a large rectangle and a triangle.
From there you're going to calculate the area of both.
rectangle formula:
A= L*H
Triangle Formula:
A= (L*H)/2
Then you just plug in the numbers and calculate, getting 18 for the rectangle and 16 for the triangle. 18+16 = 34
You add the two areas together as shown above, and then you have your area for the whole shape!
Answer:
34
Step-by-step explanation:
"Fifteen less than twice a number
is less than or equal to -23."
Answer:
2x-15 ≤-23
Step-by-step explanation:
the area of a rectangular park on the map is 6 cm squared Tameka says that to find the area of the actual Park she can multiply the area of the park on the map by 2,500. Do you agree or disagree? Explain.
Answer:
disagree
Step-by-step explanation:
where did 2500 come from?
I agree that Tameka can multiply the area of the park on the map by 2500.
This is because the length of the map is reduced by a scale of 1:50 and the width is also reduced by the scale of 1 : 50. In order to determine the area of the park, 50 x 50 = 2500
This question appears incomplete. Please find attached an image of the complete question
The map of the park is a scale drawing of the actual park.
A scale drawing is a reduced drawing of an image.
scale of the drawing = original dimensions / dimensions of the scale drawing
The scale of the map to the actual park is 1 : 50
It means that 1 cm represent 50m
Let assume that the width of the scale drawing is 2cm and the length is 3cm. The area is 6 cm squared
Based on the above dimensions, for the actual park :
The length = 50 x 3 = 150
The width = 50 x 2 = 100
Area = 150 x 100 = 15,000
If the area of the map is multiplied by 2500 - 2500 x 6 = 15,000
The same result was gotten in either case
To learn more about scale drawings, please check: https://brainly.com/question/980463?referrer=searchResults
after a deposit of $100, a withdrawal of $125, and a deposit of $24, the balance in a savings account was $27.28. what was the balance of (b) before the deposits and withdrawal?
Let the total amount of money in the account before withdrawal or deposit of funds be x
so that for every withdrawal we subtract from x and add for a deposit and equate this to the balance after withdrawal and deposits
x + 100 -125 + 24 = 27.28
x = 27.28+125-24-100
x= $28.28
Balance before deposits or withdrawal = $28.28
Ashley can text 60 words in 45 seconds. At this rate, how many words can she text in 60 seconds?
Let Ashley can text x words in 60 minutes. Then equation for x is,
\(\begin{gathered} \frac{60}{45}=\frac{x}{60} \\ x=\frac{60\cdot60}{45} \\ =80 \end{gathered}\)Thus, Ashley text 80 words in 60 seconds.
Analyze the diagram below and complete the instructions that follow.
6
6
A. 5
B. 3√√3
C. 3-√√5
D. 9√√5
X
Find the unknown side length, x. Write your answer in simplest radical form.
Mark this and return
3
Save and Exit
Next
SL
The value of x is 3\(\sqrt{5}\).
Labeling the given figure,
AC = 6
AB = 3
BC = x
Since Pythagorean theorem states,
(Hypotenuse)²= (Perpendicular)² + (Base)²
Therefore,
(x)²= (6)² + (3)²
(x)²= 45
Squaring both sides,
Hence x = 3\(\sqrt{5}\)
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ1