If X = 10, find the value of the variable b. If your answer is not an integer, round to 2 decimal places.

If X = 10, Find The Value Of The Variable B. If Your Answer Is Not An Integer, Round To 2 Decimal Places.

Answers

Answer 1
10 root 2 = hypotenuse
a = leg

In a 45-45-90 triangle:
hyp divided by root 2 = leg
10 root 2 divided by root 2 equals leg
10 equals leg (a)
a = 10

a = long leg
b = short leg
c = hypotenuse

In a 30-60-90 triangle:
long leg divided by root 3 = short leg
10 / root 3 = short leg
short leg = 5.77 (b)

Hypotenuse = short leg * 2
Hyp = 5.77 * 2 = 11.55 (c)

Check using Pythagorean theorem:
a^2 + b^2 = c^2
10^2 + 5.77^2 = 11.55^2
100 + 33.4 = 133.4
133.4 = 133.4 :)

Related Questions

0.7k − 1.6 ÷ 2 − 5.2 = 1.7 − 0.7

Answers

your answer is k=10 the step by step is kn the picture

Simplify: this please

Answers

Answer:

[tex]16\sqrt{3}[/tex], so therefore:

none of the above

-7r2 + 7r + 2 = 2
Find Discriminant

Answers

Answer:

r = 1 , 0

Step-by-step explanation:

-7[tex]r^{2}[/tex] + 7r + 2 = 2

-7r(r-1)=2-2

-7r(r-1)=0

r-1=0

r=1

I think r=0 I think that’s the answer

i need to know what x is

Answers

Answer:

X would most likely be 10

Step-by-step explanation:

A wooden roller coaster contains a run in the shape of a sinusoidal​ curve, with a series of hills. The crest of each hill is 108 feet above the ground. If it takes a car 1.9 seconds to go from the top of a hill to the bottom ​(4 feet off the​ ground), find a sinusoidal function of the form y = A sin(ωt - Φ) + B that models the motion of the coaster train during this run starting at the top of a hill.

Answers

Answer:

[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]

Step-by-step explanation:

We are given that

Height of crest, h=108 feet

Time for one cycle, T=1.9 s

We have to find a sinusoidal function of the form y = A sin(ωt - Φ) + B that models the motion of the coaster train during this run starting at the top of a hill.

We are given

[tex]y=Asin(\omega t-\phi)+B[/tex]

Amplitude,[tex]A=\frac{108-4}{2}=52 feet[/tex]

[tex]B=A+4=52+4=56 feet[/tex]

[tex]\omega=\frac{2\pi}{T}[/tex]

Using the formula

[tex]\omega=\frac{2\pi}{1.9}=3.3/s[/tex]

We assume,

Horizontal shift [tex]\phi=-\frac{\pi}{2}[/tex]

Substitute the values

[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]

Hence, the  sinusoidal function  that models the motion of the coaster train during this run starting at the top of a hill is given by

[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]

Hopper Middle School wants to buy 40 t-shirts for the soccer team. They look at two stores to see which will give them the better deal. Store A charges $6.96 per shirt. Store B said the total cost for all 40 shirts would be $325, but they will give the school a 20% discount. Which store has the better deal?

How much will the shirts cost from store A?

How much will the shirts cost from store B?

How much does one shirt cost from store B?

Answers

Answer:

store A is 278.4 and store B is 260 and the cost for one shirt from store b is 8.125

Step-by-step explanation

6.96 x 40 gives you 278.4

325 - 20% gives you 260

325 divided by 40 gives you 8.125

then to check your answer you multiply 40 and 8.125 and it gives you 325


The side lengths of a triangle are (5x + 1), (6x - 10), and (6x + 2). Write an expression in simplest
form fok the perimeter of the triangle.
A. 17x - 7
В. 17x+13
C. 10x
D. 30x

Answers

Answer:

A

Step-by-step explanation:

so the perimeter is the sum of all the sides which would be

(5x+1)+(6x-10)+(6x+2)

= 5x+1+6x-10+6x+2

=17x-7

which is A

if my answer helps please mark as brainliest.

Find the Area of this figure.

Answers

Answer:

158 m²

Step-by-step explanation:

I made this into 3 rectangles.

Figure 1:

9•8=72

The 9 is from the 13 m side, but I've taken 4 m off from the overlapping square.

Figure 2:

6•7=42

The 7 is from the 10 m side, but I've taken 4m off from the overlapping square again.

Remaining Area:

If you extend the lines into figures 1 and 2 from the top left corner and bottom right corner vertically, you will get a rectangle that is (11 m) x (4 m). This is not yet accounted for.

11•4=44

Add together: 72 + 42 + 44 = 158

*Note: You could also find the area of the squares a much easier way by subtracting the overlapping part after finding the area of both figures , but this is how I did it*

Which expression is equivalent to
- 1/3(6x+18)+3x+5 help please

Answers

Answer:

Step-by-step explanation:-1/3(6x+18)+3x+5= -2x - 6 + 3x + 5 = x - 1. QED

I need this help me please

Answers

Answer:

 I think its B

Step-by-step explanation:

PLS HELP!! FIND X AND Y

Answers

Answer:

x=110

y=70

Step-by-step explanation:

sddefgyuikohffuioo

Pizza Guy pizza delivery time for a pizza is
approximately normally distributed with a
mean of 22 minutes and a standard deviation
of 5. Pizza Guy guarantees delivery within 30
minutes or the pizza is free. What percent of
customers will get a free pizza?
a) 3.5% b) 4.5% c) 5.0% d) 5.5% e) 6.5%

Answers

Answer:

5.5%

Step-by-step explanation:

the pizza is free 5.5 so he need to deliver the pizza on time

Pn= 14 ao=6
Please help me

Answers

creo que es 231 en total :7-2:al 231

Josh's sink leaks 12 of a gallon of water in 14 of an hour. How many
gallons of water does Jacob's sink leak in 2 days?

Answers

Answer: is 14,400 maybe hopefully who knows ‍♂️

.
Simplify the expression below
4(2x+8y+9)-3x+40
plz help

Answers

Answer:

5x+32y+76

Step-by-step explanation:

First, distribute.

4 x 2x = 8x

4 x 8y = 32y

4 x 9 = 36

Then, combine like terms.

8x - 3x = 5x

36 + 40 = 76

And that leaves 5x+32y+76

4(2x + 8y + 9) -3x + 40
= 8x + 32y + 36 - 3x + 40
= 8x - 3x + 32y + 36 + 40
= 5x + 32y + 76
So, in conclusion, the expression: 4(2x + 8y + 9) -3x + 40 simplified is: 5x + 32y + 76.

parent function is y = x + 4. If that parent function is vertically stretched to become 4 times larger than the parent function, what is the new function it becomes after this transformation

Answers

y= 4x + 4

Behebdhdbsnsbdh

Divide j by 9 and the multiply the quotient by 2

Answers

Answer:

Step-by-step explanation:

you will need to do:

j/9*2=2j/9

72 is 8 times as many as 64

Answers

Answer:

False.

Step-by-step explanation:

72 does not equal 64x8.

Hope I helped!

If n + 7 = 10, evaluate 2n - 2

Answers

n=10-7

n=3

Now

2n-2

2*3-2

6-2

4

Kelly wants to buy cupcakes for her family. The radius of the cupcake is 12
inches, what is the distance around the cupcake? *
Your answer

Answers

Answer:

75.4 inches

Step-by-step explanation:

circumference = 2πr = 24π ≅ 75.4 inches

It's really more of a tubcake than a cupcake.

HELP guys i need extra to pass in my school and i am still failing by three points please i cant get it up on my own Madison has $6.50. Potatoes are $0.50 per pound. How many pounds of potatoes can Madison afford to buy?

In two or more complete sentences write and solve an inequality for this situation. Explain how you would solve this inequality.

Answers

Answer:

0.5p < 6.50

p < 13

Step-by-step explanation:

The inequality would be p < 13. Since Madison can't spend more than 6.50, the cost of potatoes would need to be less than 6.50. To solve the inequality, you would have to divide both sides by 0.5, giving you p < 13.

Answer:

Madison can buy 13 pounds of patatoes.

Step-by-step explanation:

You have to divide 6.50 by 0.50, but in order to do that you have to move the decimal on both sides two times to the right then you can divide. Then to double check you muliply 13 by 50.

According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the probability that five or more families have life insurance?

Answers

Answer:

0.5819 = 58.19% probability that five or more families have life insurance

Step-by-step explanation:

For each family, there are only two possible outcomes. Either they have insurance, or they do not. The probability of a family having insurance is independent of other families. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

77% of husband-wife families with kids under 18 years old have life insurance.

This means that [tex]p = 0.77[/tex]

A random sample of six husband-wife families was selected.

This means that [tex]n = 6[/tex]

What is the probability that five or more families have life insurance?

This is

[tex]P(X \geq 5) = P(X = 5) + P(X = 6)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{6,5}.(0.77)^{5}.(0.23)^{1} = 0.3735[/tex]

[tex]P(X = 6) = C_{6,6}.(0.77)^{6}.(0.23)^{0} = 0.2084[/tex]

[tex]P(X \geq 5) = P(X = 5) + P(X = 6) = 0.3735 + 0.2084 = 0.5819[/tex]

0.5819 = 58.19% probability that five or more families have life insurance

Solve the system of linear equations. - 3x + 5y = 13 x + 4y = -10 ​

Answers

Answer:

x = -6 and y = -1

Step-by-step explanation:

Simplify the expression 43 + 2(3 − 2)

Answers

Answer:

))))))

Step-by-step explanation:

43+2(3-2)=43+2*3-2*2=43+6-4=45

Answer:

45

Step-by-step explanation:

43 + 2(3-2)

43 +2 (1)

43 + 2

45

Triangle M N O is shown. Angle O N M is a right angle. Angle N O M is 40 degrees and angle L M N is 50 degrees.
Given right triangle MNO, which represents the value of cos(M)?

StartFraction O N Over M N EndFraction
StartFraction M N Over M O EndFraction
StartFraction O N Over M O EndFraction
StartFraction M N Over O N EndFraction

Answers

Given:

In triangle MNO, angle ONM is a right angle. Angle NOM is 40 degrees and angle LMN is 50 degrees.

To find:

The value of cos(M).

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Draw a diagram using the given information.

In triangle MNO, angle ONM is a right angle so its opposite side MO is the hypotenuse. For vertex M, MN is the base of the triangle. So,

[tex]\cos (M)=\dfrac{MN}{MO}[/tex]

Therefore, the correct option is B.

Answer:

it is b

Step-by-step explanation:

What is M? Enter only value in response.

Answers

Answer:

x=23

Step-by-step explanation:

132+128+4x+2+5x-11+4x-10=540

13x+241=540

13x=540-241

13x=299

x=23

HELP I’m being timed!!!

Answers

The answer is 54.

Volume is height times width times length. Since a cube has equal sides, you do 3 times 3 times 3. You get 27. Since there are two cubes you do 37 times 2 and get 54.

8. What is the DEGREE of the following binomial:
2x 5

Answers

Step-by-step explanation:

I'm thinking you are showing 2X^5 where 5 is the exponent. if so then it's the 5th degree

I’ll give brainliest please help

Answers

answer is 11 boy now enjoyyyyyyyyy

The fifth term of an arithmetic sequence is 23 and the 12th term is 72? Determine the first three terms of the sequence and the nth term​

Answers

Answer:

the first term is a1

the distance between the numbers is d

we have:

a5 = a1 + 4d = 23

a12 = a1 + 11d = 72

so we have the equation:

a1 + 4d = 23

a1 + 11d = 72

=> a1 = -5

d = 7

=> an = -5 + 7(n - 1) = 7n - 12

with an = 7n - 12

=> a2 = 2

a3 = 9

so the first three terms is -5; 2; 9

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