The area of a triangle is 142cm2. Two sides of the triangle measure 24cm and 38cm. What is the measure of the included angle between the side, approximated to 1 decimal place?

Answers

Answer 1

Answer:

C = 18.1°

Step-by-step explanation:

A = 142 m²

a = 24 cm, b = 38 cm

Use the formula A = a*b*sinC/2

142 = 24 * 38 * sinC/2 = 456*sinC

sinC = 0.3114

C = 18.1°


Related Questions

Write 24:18 in a simplest form​

Answers

We can start by the simplest factor. Which is 2.
24:18 will be divided by 2 both sides.That will be 12:9.
We then realize that 12 and 9 are both multiples of 3.
So we take 12:9 divided by 3 on both sides again.Which would be 4:3.
The factors end here which will give us 4:3 as the simplest form.
Hope this helps !!

Answer:

4:3

Step-by-step explanation:

24:18

Divide each side by 6

24/6 : 18/6

4:3

Name the relationship between ∠a and ∠b.

Answers

Answer:

B. Adjacent

Step-by-step explanation:

Supplementary angles add up to 180 degrees, so cross of A. Vertical angles are directly across from each other, so cross off C. Corresponding angles are related to lines and a transversal which you don't have, so you can cross of D, leaving the answer as B.

Hopefully this helps - let me know if you have any questions!

A skating rink charges $5 per hour plus $3 to rent skates. A second skating rink charges $6 per game plus $2 to rent skates. How many games would person have to play for the two skating rinks to cost the same amount?

Answers

Answer:

Each of them would play 2 games to get the same cost amount

Step-by-step explanation:

for example

#1) $5 + $3 = $8 x 2 = $16

#2) $6 + $2 = $8 x 2 = $16

Multiply: -
2/3 x 6/7
Put your answer in lowest terms.

A. 4/7
B. 4/21
C. 12/21
D. 3/7

Answers

Answer:

It should be -4/7

Step-by-step explanation:

I hope i helped. And If you can, can you help me by subing to my YT. It’s called Not Claz and it is the same profile pick I have on Brainly.

Rewrite as equivalent rational expressions with denominator (a−7)(a−2)(a+8):

Answers

Answer:

[tex] \dfrac{3(a + 8)}{(a - 7)(a - 2)(a + 8)} [/tex]

[tex] \dfrac{8a(a - 2)}{(a - 7)(a - 2)(a + 8)} [/tex]

Step-by-step explanation:

[tex] \dfrac{3}{a^2 - 9a + 14} = [/tex]

[tex] = \dfrac{3}{(a - 7)(a - 2)} [/tex]

[tex] = \dfrac{3(a + 8)}{(a - 7)(a - 2)(a + 8)} [/tex]

[tex] \dfrac{8a}{a^2 + a - 56} = [/tex]

[tex] = \dfrac{8a}{(a + 8)(a - 7)} [/tex]

[tex] = \dfrac{8a(a - 2)}{(a - 7)(a - 2)(a + 8)} [/tex]

Please help asap! I will gave brainlest!

Answers

Answer:

0,180

Step-by-step explanation:

[tex]8 \tan(x) = 0[/tex]

[tex] \tan(x) = 0[/tex]

[tex]x = 0 + 180n[/tex]

This means 0, 180 are the solutions.

0’180 that’s

Will be the answer

(-5xy)(-9xy) (-2xy) =
Simplify

Answers

Answer:

-90x^3y^3

Step-by-step explanation:

Which number belongs to solution set of the inequality 11>x

A.11
B.15
C.12
D.4

Answers

D. 4 because it’s the only one less than 11

A news article reports that 52% of voters plan to vote for Vicente and 48% of voters plan to vote for Raul.

The margin of error is 3%.

Is there enough statistical evidence to say that Vicente is in the lead?

Answers

No, because the confidence interval do not overlap we do not have enough evidence to say that the parameters are different.

Confidence interval of the data

The confidence interval will help to determine if there is enough evidence in the statistical data draw conclusion that Vicente has the lead.

The confidence interval is 48% - 3% to 48% + 3%, which is equivalent to 45% to 51%.

Since 52% does not lie in the above interval, therefore we can say no, because the confidence interval do not overlap we do not have enough evidence to say that the parameters are different.

Learn more about confidence interval here: https://brainly.com/question/15712887

Answer:

Step-by-step explanation:

NO

WORTH 100 POINTS WILL PICK BRAINLYLIST Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each prism with its volume or dimensions.

Answers

Answer:

1, 1/2, 3/2

Step-by-step explanation:

This is a prism (a 3d rectangle) and so your formula for finding the volume is V= L x W x H.

For the prism:

L= 1 (4 cubes x 1/4 = 4)

W = 1/2 (2 cubes x 1/4 = 1/2)

H = 3/2 (6 cubes x 1/4 = 6/4 = 3/2)

That's your answer, the tile 1, 1/2, 3/2

i just need someone to tell me i can do it. i know this is wasting someone, somewheres time but i need someone to tell me i can this work done. im so far behind on edgenuity and i feel worthless. ​

Answers

You got this I believe in you. I know it feels hard right now and like the world is ending but keep trying. I promise the outcome is worth it. Take breaks from your work, drink water, eat a healthy meal, get proper sleep. You are an amazing person who can accomplish anything even if you don’t feel like it right now.

Round 14,465 to the nearest ten thousands place:

Answers

Answer:

10,000 is the answer

Step-by-step explanation:

14 465

round up the 4 which is 0 then your answer would be 10000

Find the volume of a right rectangular prism if the dimensions of the base are 4 centimeters by 9 centimeters and the height is 11 centimeters.
A 396^3.
B 241^3.
C 144^3.
D 370^3.

Answers

396 cm²

Volume of rectangular prism - -

Formula's :

Length * Width * Height

Base area * Height

Here base area:

Length * Width

4 * 9

36 cm²

Volume:

Base area * Height

36 * 11

396 cm²

Select the expression that will calculate how many eighths are in 2 bars? Use the model to help you.
a. 2÷ 8
b. 8÷ 2
c. 2÷ 1/8
d. 8 ÷ 1/2

Answers

Answer:

4

Step-by-step explanation:

4*2=8

and 4/8 also equals four anyway you simplify the question it will equal 4

A cone-shaped frozen yogurt cup has a radius of 5 cm and a height of
9 cm. How many cubic centimeters of frozen yogurt can the cup hold?
Approximate your answer to the nearest hundredth.

Answers

Answer:

235.62 Cubic centimeters

Step-by-step explanation:

[tex]v = \frac{1}{3}\pi \: r {}^{2} h \: = \frac{1}{3} \times \pi \times 5 {}^{2} \times 9 \\ \\ = 75\pi = 235.62[/tex]

Answer:

235.62 Cubic centimeters

Step-by-step explanation:

have a nice day.

3b. For each differential equation, find the Laplace transform of the solution y:

y'' − y = 5e^−4x + 2x, y(0) = y'(0) = 0.

Answers

Answer:

[tex]y(x)=-2x-\frac{11}{6}e^{-x}+\frac{3}{2}e^x+\frac{1}{3}e^{-4x}[/tex]

Step-by-step explanation:

[tex]y''-y=5e^{-4x}+2x,\: y(0)=y'(0)=0\\\\\mathcal{L}\{y''\}-\mathcal{L}\{y\}=\mathcal{L}\{5e^{-4x}\}+\mathcal{L}\{2x\}\\\\s^2Y(s)-sy(0)-y'(0)-Y(s)=\frac{5}{s+4}+\frac{2}{s^2}\\ \\s^2Y(s)-Y(s)=\frac{5}{s+4}+\frac{2}{s^2}\\ \\(s^2-1)Y(s)=\frac{5}{s+4}+\frac{2}{s^2}\\ \\Y(s)=\frac{5}{(s+4)(s^2-1)}+\frac{2}{s^2(s^2-1)}\\ \\Y(s)=\frac{5s^2+2(s+4)}{s^2(s+4)(s^2-1)}\\ \\Y(s)=\frac{5s^2+2s+8}{s^2(s-1)(s+1)(s+4)}[/tex]

Perform the partial fraction decomposition

[tex]\frac{5 s^{2} + 2 s + 8}{s^{2} \left(s - 1\right) \left(s + 1\right) \left(s + 4\right)}=\frac{A}{s}+\frac{B}{s^{2}}+\frac{C}{s + 1}+\frac{D}{s - 1}+\frac{E}{s + 4}\\\\5 s^{2} + 2 s + 8=s^{2} \left(s - 1\right) \left(s + 1\right) E + s^{2} \left(s - 1\right) \left(s + 4\right) C + s^{2} \left(s + 1\right) \left(s + 4\right) D + s \left(s - 1\right) \left(s + 1\right) \left(s + 4\right) A + \left(s - 1\right) \left(s + 1\right) \left(s + 4\right) B[/tex]

[tex]5 s^{2} + 2 s + 8=s^{4} A + s^{4} C + s^{4} D + s^{4} E + 4 s^{3} A + s^{3} B + 3 s^{3} C + 5 s^{3} D - s^{2} A + 4 s^{2} B - 4 s^{2} C + 4 s^{2} D - s^{2} E - 4 s A - s B - 4 B\\\\5 s^{2} + 2 s + 8=s^{4} \left(A + C + D + E\right) + s^{3} \left(4 A + B + 3 C + 5 D\right) + s^{2} \left(- A + 4 B - 4 C + 4 D - E\right) + s \left(- 4 A - B\right) - 4 B[/tex]

Solve for each constant

[tex]\begin{cases} A + C + D + E = 0\\4 A + B + 3 C + 5 D = 0\\- A + 4 B - 4 C + 4 D - E = 5\\- 4 A - B = 2\\- 4 B = 8 \end{cases}[/tex]

[tex]-4B=8\\B=-2[/tex]

[tex]-4A-B=2\\-4A-(-2)=2\\-4A+2=2\\-4A=0\\A=0[/tex]

[tex]A+C+D+E=0\\C+D+E=0\\E=-C-D[/tex]

[tex]-A+4B-4C+4D-E=5\\4(-2)-4C+4D-(-C-D)=5\\-8-4C+4D+C+D=5\\-3C+5D=13\\5D=13+3C[/tex]

[tex]4A+B+3C+5D=0\\4(0)+(-2)+3C+13+3C=0\\-2+6C+13=0\\11+6C=0\\6C=-11\\C=-\frac{11}{6}[/tex]

[tex]5D=13+3C\\5D=13+3(-\frac{11}{6})\\5D=13-\frac{33}{6}\\5D=\frac{15}{2}\\D=\frac{15}{10}\\D=\frac{3}{2}[/tex]

[tex]E=-C-D\\E=-(-\frac{11}{6})-(\frac{3}{2})\\E=\frac{11}{6}-\frac{3}{2}\\E=\frac{2}{6}\\E=\frac{1}{3}[/tex]

Take the inverse transform and solve for the IVP

[tex]Y(s)=\frac{0}{s}+\frac{-2}{s^2}+\frac{-\frac{11}{6}}{s+1}+\frac{\frac{3}{2}}{s-1}+\frac{\frac{1}{3}}{s+4}\\ \\y(x)=-2x-\frac{11}{6}e^{-x}+\frac{3}{2}e^x+\frac{1}{3}e^{-4x}[/tex]

how many different simple random samples of size 5 can be obtained from a population whose size is 45
?​

Answers

Answer: 1,221,759

This value is slightly over 1.2 million

========================================================

How I got that answer:

We have 45*44*43*42*41 = 146,611,080 different permutations. I started with 45 and counted down by 1 until I had 5 values multiplied out.

If order mattered, then we would stop here. But order doesn't matter. All that matters is the group overall rather than any particular individual or how they rank in the group.

There are 5! = 5*4*3*2*1 = 120 different ways to arrange a five item set, so the very large result we got earlier is overcounting by a factor of 120.

To fix this, we divide by 120 to get

(146,611,080)/120 = 1,221,759

This represents the number of combinations in which we're selecting 5 members from a pool of 45 total.

You could use the nCr formula

[tex]_nC_r = \frac{n!}{r!*(n-r)!}[/tex]

with n = 45 and r = 5 to get the same answer in bold above.

Using the principle of Combination, the number of different random samples of size five which can be obtained form a population of 45 is 1221759

Using the principle of combination, which is defined as :

nCr = n! ÷ (n-r)!r! n = 45 r = 5

Hence,

45C5 = 45! ÷ (45 - 5)!5!

45C5 = 45! ÷ 40!5!

45C5 = (45 × 44 × 43 × 42 × 41) / (5 × 4 × 3 × 2 × 1)

45C5 = 1221759

Therefore, there are 1221759 ways of making a selection of 5 samples from a population of size 45.

Learn more :https://brainly.com/question/10699405?referrer=searchResults

The pH scale measures the acidity of a liquid as a function of its hydrogen ion(H+) concentration pH=-log[H+] A chemist needs to prepare a solution with a pH of three. What H+ concentration should the solution have?

Answers

Answer:

H+ = 0.001

Step-by-step explanation:

3 = -log[H+]

Identity to use: [tex]-log_{b}(a) = log_{b}(1/a)[/tex]

3 = log[ 1 / H+ ]

Identity to use: [tex]10^{log(x)} = x[/tex]

Therefore, I am going raise each side of the equation to the power of 10 to isolate [ 1 / H+ ]

10³ = [tex]10^{log(\frac{1}{H+} )}[/tex]

1000 = 1 / H+

H+ = 1 / 1000

Answer: H+ = 0.001

Matthew's family traveled 3/8 of the distance to his grandmother’s house on Saturday. They traveled 3/5 of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?

Answers

Answer:

3/8 of the total distance.

Step-by-step explanation:

After Saturday = 8/8 - 3/8 = 5/8 of distance left.

Sunday = 5/8 x 3/5 = 3/8 distance.

Hope this helps!

The graph of a proportional relationship contains the point (8, 4).

What is the corresponding equation?


y=−2/1x

y=−1/2x

y=1/2x

y=2/1x
Please Help

Answers

Answer:

y = 1/2x

Step-by-step explanation:

Points are (8,4)

x = 8

x = 8y = 4

y= −2/1x

4= -2(8)

4= -16

That's wrong

y= −1/2x

4= -1/2(8)

4= -4

That's wrong

y=1/2x

4=1/2(8)

4=4

That's right

y=2/1x

4=2(8)

4=16

That's wrong

So the answer is choice C

Someone good at math pls help me will give brainlist and the most life saver in the world

Answers

Answer:

The answer is -46,8

ok so!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! mark me brainliest

Find the the slope of the line that contain 5,3 and -1,4

Answers

Answer:

-1/6

Step-by-step explanation:

the equation to do this is y2-y1/x2-x1

therefore you set it up as 4-3/-1-5

then when you simplify it it would be 1/-6

therefore the slope is -1/6

In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was with a standard deviation of . ​(a) What response represents the ​percentile? ​(b) What response represents the ​percentile? ​(c) What response represents the ​quartile? ​(a) The response that represents the percentile is nothing. ​(Round to two decimal places as​ needed.) ​(b) The response that represents the percentile is nothing. ​(Round to two decimal places as​ needed.) ​(c) The response that represents the quartile is nothing. ​(Round to two decimal places as​ needed.)

Answers

Answer:

(a) 8.35

(b) 5.98

(c) 3.86

Step-by-step explanation:

The complete question is:

In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.4 with a standard deviation of 2.3. ​(a) What response represents the 90th ​percentile? ​(b) What response represents the ​60th percentile? ​(c) What response represents the ​first quartile? ​

Solution:

Assume that the world​ happiness ratings follows a Normal distribution with parameters μ = 5.4 and σ = 2.3.

(a)

Compute the response representing the 90th ​percentile as follows:

P (X < x) = 0.90

⇒ P (Z < z) = 0.90

The value of z for the above probability is, z = 1.282.

Compute the value of x as follows:

[tex]x=\mu+z\sigma[/tex]

   [tex]=5.4+(1.282\times 2.3)\\\\=5.4+2.9486\\\\=8.3486\\\\\approx 8.35[/tex]

Thus, the response representing the 90th ​percentile is 8.35.

(b)

Compute the response representing the 60th ​percentile as follows:

P (X < x) = 0.60

⇒ P (Z < z) = 0.60

The value of z for the above probability is, z = 0.25.

Compute the value of x as follows:

[tex]x=\mu+z\sigma[/tex]

   [tex]=5.4+(0.25\times 2.3)\\\\=5.4+0.575\\\\=5.975\\\\\approx 5.98[/tex]

Thus, the response representing the 60th ​percentile is 5.98.

(c)

Compute the response representing the first quartile of the 25th percentile as follows:

P (X < x) = 0.25

⇒ P (Z < z) = 0.25

The value of z for the above probability is, z = -0.67.

Compute the value of x as follows:

[tex]x=\mu+z\sigma[/tex]

   [tex]=5.4+(-0.67\times 2.3)\\\\=5.4-1.541\\\\=3.859\\\\\approx 3.86[/tex]

Thus, the response representing the first quartile is 3.86.

7+3 express as a difference

Answers

Answer:

  7 - (-3)

Step-by-step explanation:

You want the sum 7 + 3 expressed as a difference.

Difference

The difference of A and B is written A - B. The subtraction operation is involved.

Subtraction is the same as addition of the opposite. Or, addition is the same as subtracting the opposite:

  7 + 3 = 7 - (-3)

__

Additional comment

We can also write the difference as ...

  3 - (-7)

<95141404393>

How much will a person pay for 7 pounds of bananas at a price of $0.49 per pound?
<

Answers

Answer:

$3.43

Step-by-step explanation:

Multiply 7 by 0.49

Find the measure of the angle. (two more and i'm done, sorry)

Answers

Answer:

c=102°

b=(360-204)/2 = 78°

Answers:

b = 78

c = 102

=================================

Explanation:

Let's find angle b. This angle adds to the 102 to get 180 since the two angles form a straight angle.

102+b = 180

b = 180-102

b = 78

Then we can apply the same idea to find angle c

b+c = 180

78+c = 180

c = 180-78

c = 102

A shortcut to find angle c is to recall that vertical angles are congruent. The proof of the vertical angle theorem is effectively the steps shown above.

PLSSSS THIS IS 20 POINTS AND U GET BRAINLIEST!!! Are the lines x = 2 and y = 5 parallel? Are the perpendicular? Explain.

Answers

it shud be perpendicular as the line is on x and y , they might cross each other while parallel dont

3x-8=3(x-3)-2
Is there a answer to this problem? I cant find one

Answers

Answer:

The input is a contradiction: it has no solutions

A restaurant decides to test their oven's thermostat to see if it is working properly, that is, if the actual temperature inside the oven is the same as the temperature to which the thermostat was set. Twenty times, the oven was set at 350 degrees and then the temperature was measured with a thermometer. The chef wants to know if the average oven temperature is different from 350, when the thermostat is set at 350. What is the correct null and alternative hypothesis for this test

Answers

Considering the situation described in the exercise, it is found that the correct null and alternative hypothesis for this test are given by, respectively:

[tex]H_0: \mu = 350[/tex]

[tex]H_1: \mu \neq 350[/tex]

What are the hypothesis tested?

At the null hypothesis, it is tested if the mean is of 350 degrees, that is:

[tex]H_0: \mu = 350[/tex]

At the alternative hypothesis, it is tested if the mean is different of 350 degrees, hence:

[tex]H_1: \mu \neq 350[/tex]

More can be learned about the test of an hypothesis at https://brainly.com/question/26454209

x + 3y=9
x + y = 21
Solve it algebraically

Answers

Answer:

[tex]x=27[/tex]

[tex]y=-6[/tex]

Step-by-step explanation:

substitute in values

[tex]x=21-y[/tex]

[tex](21-y)+3y=9[/tex]

[tex]21+2y=9[/tex]

[tex]2y=-12[/tex]

[tex]y=-6[/tex]

[tex]x+(-6)=21[/tex]

[tex]x=27[/tex]

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