Answer:
x=5
Step-by-step explanation:
The right angle opposite is the hypotenuse
The 30° is the opposite
SohCahToa
Soh = Sin because you got Opposite and Hypotenuse (because you're trying to find the side, you'd do the opposite of dividing, which is times)
10×sin(30)=5
Can somebody help me please? thank you.
What is the area of the figure below?
Answer:
667.2 cm²
Step-by-step explanation:
Break the figure into 6 identical triangles
each has a base of 16 and a height of 13.9
Area of 1 triangle
a = (1/2)bh
a = (1/2)(16)(13.9)
Since there are 6 triangles
a = 6 * (1/2)(16)(13.9)
a = 667.2
When 1580 is divided into 13 equal parts, the remainder is 7. What is a correct way to write the quotient? 121.7 121 + 7 1217 over 1580 1217 over 13
Answer:
121.54
Step-by-step explanation:
1580÷13=121 r 7
7 over 13 is 0.538462
rounded off to 2 decimal places:0.54
so 121+0.54
121.54
Which part is which from the circle
The radius goes from the center to the edge of the circle.
The diameter is twice as long as the radius; it is a segment going through the center with both endpoints on the circle
The circumference is the distance around the circle. Think of it as the perimeter of the circle.
when the spring is stretched and the distance from point a to point b is 5.3 feet, what is the value of θ to the nearest tenth of a degree?
a. 60.0
b. 35.2
c. 45.1
d. 55.5
When the spring is stretched and the distance from point a to point b is 5.3 feet, the value of θ is 53.13 degrees
The distance between point a to point b = 5.3 feet
The length of the top side = 3 feet
Therefore, it will form a right triangle
Here we have to use trigonometric function
Here adjacent side and the hypotenuse of the triangle is given
The trigonometric function that suitable for the given conditions is
cos θ = Adjacent side / Hypotenuse
Substitute the values in the equation
cos θ = 3 / 5
θ = cos^-1(3 / 5)
θ = cos^-1(0.6)
θ = 53.13 degrees
Therefore, the value of θ is 53.13 degrees
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A bag contains 9 marbles: 3 are green, 2 are red, and 4 are blue. Kevin chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that the first marble is blue and the second is green? Write your answer as a fraction in simplest form.
Answer:
The probability of the first marble being blue is 4/9 and the probability of the second marble being green is 2/8 (8 because the first marble you pulled out didn't get put back, therefore you only have 8 marbles to choose from now) and 2/8 in simplest form is 1/4.
"The beautiful thing about learning is that no one can take it away from you." :)
if 10 30 90 ⋯=2657200, what is the finite sum equation? include values for 1, , and .
The sum of the first 8 terms of the sequence is 640. The values for 1, n, and d are 10, 8, and 20, respectively.
The given sequence is an arithmetic sequence with a common difference of 20. Using the formula for the sum of n terms of an arithmetic sequence, we can find the value of n.
Let S_n be the sum of the first n terms of the sequence. Then,
S_n = n/2(2a + (n-1)d)
where a is the first term, d is the common difference.
From the given sequence, we know that a = 10 and d = 20. We need to find the value of n such that S_n = 2657200.
2657200 = n/2(2(10) + (n-1)(20))
2657200 = n/2(20n - 10)
5314400 = n(20n - 10)
1062880 = n(10n - 5)
1062880 = 5n(2n - 1)
By trial and error, we can find that n = 8 is a solution.
Thus, the finite sum equation is:
S_8 = 8/2(2(10) + (8-1)(20))
S_8 = 4(20 + 7*20)
S_8 = 4(160)
S_8 = 640
Therefore, the sum of the first 8 terms of the sequence is 640. The values for 1, n, and d are 10, 8, and 20, respectively.
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A student has 8 pints of iced tea in a pitcher. The amount of iced tea in the pitcher is a function of x, the amount of iced tea she has poured from the pitcher, y. What is the domain of this function? a \large 0\le x\le8 b \large \left\{1,2,3,4,5,6,7,8\right\} c \large 0\le y\le8 d \large \left\{0,1,2,3,4,5,6,7,8\right\}
Answer: The domain is:
0 pints ≤ x ≤ 8 pints.
Step-by-step explanation:
When we have a function:
y = f(x)
The domain is the set of the possible values of x (the possible inputs).
In this case, the value of x represents the amount of tea that she has poured from the pitcher.
Now, initialy the pitcher has 8 pints, so the smallest possible value of x is 0 pints (when she has not pured anithing) and the maximum value of x is 8 pints (when she has poured all the 8 pints).
So we have the domain:
0 pints ≤ x ≤ 8 pints
Write an equivalent unit rate to eating 3 pieces of popcorn in 1/5 of a minute ____ pieces of popcorn per minute
Answer: 15
Step-by-step explanation:
slow eater lol.
in one fifth of a minute, they ate 3 pieces. so add the other four fifths, 3 + 3 + 3 + 3 + 3, and youll get 15. easier to just multiply tho, 1/5 is 3, so 5/5 would be 3(5) = 15. hope this helps
What is the measure of JGK shown in the diagram below?
A. 56
B. 112
C. 138
D. 69
Answer:
B.56
Step-by-step explanation:
What is the difference between a diameter and a radius?
Answer:
a radius is a line that goes from the center of a circle to the actual circle, it's measurement will always be half of the diameter
a diameter is a straight line that goes from any point of the circle, through the center, and then to the opposite side of the point
Help Please!!!!!! thanks
Answer: (8,780)
Step-by-step explanation:
if u round to the nearest tens the "75" will be an "80" because to change numbers it has to be 5 or more :) hope i help
pls mark brainliest i need it :)
Which defines the relationship between the number -9 and its additive inverse?
A. -9x1= -9
B-9 +0= -9
C. (-9) X0 = 0
D. (-9) +9 = 0
Find the area of the region bounded by the graphs of the equations y = x+x,X=4,y=0. Round your answer t0 the nearest whole number. 768 296 49 72 5.16'
To find the area of the region bounded by the graphs of y = x+x, X=4, and y=0, we can use integration. The region is a trapezoid, with parallel sides of length 4 and 8, and height 4.
The integral that represents the area of the region is:
A = ∫\(0^4\) (x + x) dx
Simplifying the integrand, we get:
A = ∫\(0^4\) 2x dx
Integrating, we obtain:
A = \(0^4\) | \(0^4\) = 16
Rounding to the nearest whole number, we get:
A ≈ 16
Therefore, the area of the region bounded by the graphs of y = x+x, X=4, and y=0 is approximately 16 square units.
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I really need help with this question!! i have 40 mins left to do this assignment
What is the volume of a cone with the given dimensions? Radius = 7 cm.; Height = 11 cm. Round the answer to the nearest hundredth. ((Use 3.14 for pi.))
a. 554.15 cu. cm
c. 504.15 cu. cm
b. 564.15 cu. cm
d. 764.15 cu. cm
The volume of the cone is 564.15 cu. cm.
The correct option is B.
Why is the volume of a cone?The volume of a cone with height h and radius r is 13πr2h, that's exactly one 1/3 the volume of the smallest cylinder that it suits inside. This could be proved without difficulty by means of thinking about a cone as a solid of revolution, however, I would love to understand if it can be proved or as a minimum visual established without the usage of calculus.
The cone which has the identical base radius and height will have the same base area however its extent isn't always without delay base place times h, which is quite intuitive as cones with equal dimensions may have a lesser quantity. Its extent comes to be 1/3rd of cylinder volume.
Volume of cone
=1/3 *pi *r^2 *h
=1/3*3.14*7^2*11
=564.44
Therefore and is on solving
We get 564.44 approximately
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whoever can answer 2+ can get brainliest! i need help pleaseeee
Answer:
1. The answer is 3 students
2. 3.8, or rounded, 3.5
3. 4 batches of brownies
4. 16/9, 1.80, or 1.78
Step-by-step explanation:
1. If you divide 1/4 by 15, that would equal 3.75. Since you can't have partial of a person XD you should round it back to 3.
2. If you divide 1/5 by 19, that would be 3.8.
3. If you divide 2/3 by 6, that would be 4.
4. 1/9 divided by 16 would be 16/9. As a decimal, it would be 1.777778. Rounded, it would be 1.80, or 1.78.
Hope this helps you!
I suck at fractions. please help
Answer:
23/4 C
Step-by-step explanation:
5 is whole number
3 is numerator
4 is the dominator
so u multiply 5×4=20 u then add 20 to the numerator so 20+3=23 and then u add the denominator 4. 23/4
Find the area of a circle with radius, r = 6.75m. Give your answer rounded to 2 DP.
answer:
53
explanation
153 oz to ___lbs ____oz
Answer:
153 oz to 9.5625 lbs
Step-by-step explanation:
You can round 9.5625 lbs to 8 or just say 9.5
Choose the expression that is equivalent to the one shown.
- 25 + - 30
- 25 + 30
25 - 30
- 25 - 30
Answer:
I'm pretty sure it's the last one
Step-by-step explanation:
both equal -55 when I use my calculator
Write 750 g as a fraction of 5 kg. Give your answer in its
simplest form.
Answer:
3/20 is the answer.......
-10
ious Activity
Type har
-5
10+y
O
-10
-20
5
Select the quadratic inequality that represen
graph.
Ov²(x+3)²-24
vs-(x-3)²+24
v2 - (x-3)2+24
Oys (x+3)²-24
O
The quadratic inequality defined on the graph is given as follows:
y ≥ 2/3(x + 3)² - 24.
How to define the quadratic inequality?The coordinates of the vertex of the quadratic function are given as follows:
(-3, -24).
Hence the quadratic function is given as follows:
y = a(x + 3)² - 24.
In which a is the leading coefficient.
When x = 3, y = 0, hence the leading coefficient a is obtained as follows:
0 = a(3 + 3)² - 24
36a = 24
a = 24/36
a = 2/3.
Hence:
y = 2/3(x + 3)² - 24.
The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:
y ≥ 2/3(x + 3)² - 24.
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Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below. P(h) =P. e-0.00012h In this function, Po is the air pressure at the surface of the Earth, and his the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 65% of the air pressure at the surface of the Earth?
A. 0.65 m
B. 5416.7 m
C. 3587.4 m
D. 3589.9 m
3589.9 m is the height at which air pressure equals 65% of the air pressure at the surface of the Earth
How to find the height at which air pressure equals 65% of P₀?
Given: the function P(h) =P₀ e^(-0.00012h)
When air pressure equals 65% of the air pressure at the surface of the Earth. That means P = 0.65P₀
Substitute P = 0.65P₀ into the function:
P(h) = P₀ e^(-0.00012h)
0.65P₀ = P₀ e^(-0.00012h)
Dividing both sides by P₀ gives:
0.65 = e^(-0.00012h)
Take ln of both sides (ln is the inverse of e):
ln 0.65 = -0.00012h
h = ln 0.65/ (-0.00012)
h = 3589.9 m
Therefore, the height at which air pressure equal 65% of the air pressure at the surface of the Earth is 3589.9 m. Option D is the answer
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a political action committee launches a new advertisement aimed at building support for a policy that would expand health insurance to low-income americans through increased government funding. according to zaller’s receive-accept-sample (ras) model, who would be most susceptible to this message?
According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.
The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.
Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.
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Find the inverse of the function on the given domain.
Given:
There are given that the function:
\(f(x)=(x-19)^2\)Explanation:
According to the question:
We need to find the inverse of the function.
Then,
To find the inverse, first exchange f(x) into y:
So,
\(\begin{gathered} f(x)=(x-19)^{2} \\ y=(x-19)^2...(1) \end{gathered}\)Then,
We need to exchange x into y:
So,
\(\begin{gathered} y=(x-19)^2 \\ x=(y-19)^2...(2) \end{gathered}\)Then,
We need findthe value for y:
\(\begin{gathered} \begin{equation*} x=(y-19)^2 \end{equation*} \\ \pm\sqrt{x}=y-19 \\ y=\pm\sqrt{x}+19 \\ y=\sqrt{x}+19,-\sqrt{x}+19 \end{gathered}\)Then,
\(f^{-1}(x)=\sqrt{x}+19,-\sqrt{x}+19\)Final answer:
Hence, the inverse of the given function is show below:
\(f^{-1}(x)=\sqrt{x}+19\)if 2(3x+5)=6x+10 is what property
Answer:
2(3x + 5) = 6x + 10
⇔ 6x + 10 = 6x + 10
=> infinite solution
Step-by-step explanation:
How many cubic centimetres would you place in a tub of water to displace 1 L of water?
1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water
What is conversion of units?Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.
From the information given, we have that;
Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water
So, we have that there is 1 liter of water in the tub
In order to displace, you need to put something in that is the same amount
Now, let's convert the units
1 liter = 1000 cubic cm
Hence, you need 1000 cubic cm to displace 1 liter
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If a loan is taken out for $278 at 10% and costs the borrower $174.12 in simple interest, how many years was the loan for? ROUND YOUR ANSWER TO THE NEAREST WHOLE YEAR
Data:
Loan=$278 at 10%
A simple interest is calculated for payments on the initial capital.
If the total interest was $174.12.
If the interest is on a year. You calculated the interes of one year. The 10% of $278:
\(278\cdot\frac{10}{100}=27.8\)In a year the interest is $27.8.
Then, $174.12 divided into $27.8 is the number of years of the loan:
\(\frac{174.12}{27.8}=6.26\approx6\)Then, the loan was for 6 yearsAdamhadthechickenpoxandhadtostayinside even though he didn’t feel very bad at all. he decided to make a cake to surprise his mother. the recipe said he needed 4 deciliters of milk. how many liters of milk did he need?
Answer:
400 milliliters
Step-by-step explanation:
multiply 4 x 100
=400
) Tina planted 75 plants. N plants did not grow leaving her with 48 plants. Which equation expresses how many plants Tina lost?
Answer:
Step-by-step explanation: I think this is the answer
Tina planted 75 plants and only 48 grow
To know how much is lost we subtract 75 from 48 which gives us 27
75-48=27