What is the length of the hypotenuse?

Answer:

Solution given

4x+2=-13

subtract each term by 2

4x+2-2=-13-2

divide both side by 4

4x/4=-15/4

we get

x=-15/4

is a required answer.

Let's solve:

[tex]4x+2=−13[/tex]

Step 1: Subtract 2 from both sides.

[tex]4x+2−2=−13−2 \\ 4x = - 15[/tex]

Step 2: Divide both sides by 4.

[tex] \frac{4x}{4} = \frac{ - 15}{4} [/tex]

Answer:

[tex] \frac{ - 15}{4} [/tex]

Answer:

Step-by-step explanation:

-4i+3i=i-8+3i-12

-i=4i-20

20=4i+i

20=5i

20/5=i

4=i

Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Um angle T and R don't exist on this triangle. Only sides and Angles A B C.

But remember Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

S o/h    C a/h    T o/a

Answer: C and D

Step-by-step explanation:

Answer:

A and B are both credible on the graph.

Answer:

2)  $300

Step-by-step explanation:

I used the the following two points to find slope:

(9,400) and (8,350) to get a slope of 50

therefore, f(x) = 50x

f(6) = 50(6)

f(6) = 300

Answer:

consistent.

Step-by-step explanation:

if lines cross they're consistent. If they dont they're inconsistent and if they overlap completely they're equivalent

Answe

I LIKE YR CUT G!

Step-by-step explanation:

Answer:

To solve for x,  I would use Cosine.

This is because cosine holds the ratio of adjacent/hypotenuse. Based on the diagram, we can see that HYPOTENUSE = x, so we are solving for x. We know the angle, is 17 degrees. Lastly, we know the triangle leg ADJACENT to the angle is 10 units long. So we would use cosine, implementing the ratio adjacent/hypotenuse. Solving this, we would use cos(17)=10/x. Then our goal is to isolate x, so cos(17)=10/x becomes cos(17)*x=10, we are still trying to isolate x, so, x=10/cos(17). Therefore, our answer  x = 10.457 units. cosine would be the best way to go.

Step-by-step explanation:

Answer:

£910

Step-by-step explanation:

You have to divide the amount of acres by the overall price.

Hope this helped

Answer:   1/8

1 goes in the green blank space

8 goes in the gray blank space

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

Explanation:

H = heads

T = tails

HHH means we get 3 heads in a row, HHT means heads twice then tails the third time, and so on.

Here are the 8 ways to flip three coins (note: 2^3 = 2*2*2 = 8).

We see that HHH only comes up once out of 8 total times. Therefore, the probability of getting HHH is 1/8

------------

Another way to see the answer is note that P(H) = 1/2 is the probability of getting heads on a single coin flip

Then with two coin flips, we have P(HH) = P(H)*P(H) = (1/2)*(1/2) = 1/4. Each coin flip is independent of one another.

And finally, P(HHH) = P(H)*P(H)*P(H) = (1/2)*(1/2)*(1/2) = 1/8

Answer: b

Step-by-step explanation:

Answer:

a mans car...

Step-by-step explanation:

a man's car breaks down while driving to work

because all the other ones are in their head

Answer:

X = 11

Step-by-step explanation:

3^(x-7) = 81

Find what exponent makes three into 81

The answer: x = 11

Answer:

x = 11

Step-by-step explanation:

Given

[tex]3^{x-7}[/tex] + 4 = 85 ( subtract 4 from both sides

[tex]3^{x-7}[/tex] = 81

[tex]3^{x-7}[/tex] = [tex]3^{4}[/tex]

Since the bases on both sides are equal, both 3 then equate the exponents

x - 7 = 4 ( add 7 to both sides )

x = 11

Answer:

its upside down turn it around

Step-by-step explanation:

Answer:

$17.50 is how much Priyah makes per hour

Answer:

2,778 in³

Step-by-step explanation:

Volume cube

v = 18³

v = 5,832

Volume sphere

v = (4/3)π9³

v = 3,053.6280592893

Volume space

v = 5,832 - 3,053.6280592893

v = 2,778.3719407107

2,778 in³

Answer:

Step-by-step explanation:

We need to first find the volume of the cube, then subtract from it the volume of the sphere. This is what we are being asked to find. First, the volume of the cube is length times width times height. Since this is a cube, all of the sides are the same length, making the volume

V = 18³ so

V = 5832 inches cubed. Now for the sphere.

The formula for the volume of a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex] and we will use 3.1415 for π.

[tex]V=\frac{4}{3}(3.1415)(9)^3[/tex] which gives us

V = 3053.538

Subtracting the volume of the sphere from the volume of the cube:

V = 5832 - 3053.538

V = 2778.462 inches cubed

Answer:

In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles

The Law of Sines (or Sine Rule) is very useful for solving triangles:

a/sin A=b/sin B=c/sin C

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

3.3 is bigger than 3 by .3: )

Answer:

no.

3.3 > 3

Step-by-step explanation:

Answer:

the answer is to multliply it by -4

Answer: Choice D

[tex]\frac{9\sqrt{2}}{2}[/tex]

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

Explanation:

We have a 45-45-90 triangle. If x is the leg length, then y = x*sqrt(2) is the hypotenuse.

Solving for y gets us [tex]x= \frac{y}{\sqrt{2}} = \frac{y\sqrt{2}}{2}[/tex]

In this case, y = 9 is the hypotenuse which then leads to choice D.

------------

Another way to find the answer is to use the pythagorean theorem

a = x and b = x are the two congruent legs

c = 9 is the hypotenuse

Solving a^2+b^2 = c^2, aka x^2+x^2 = 9^2, will lead to [tex]x = \frac{9\sqrt{2}}{2}[/tex]

Answer:

I think it is 7 squares.

Step-by-step explanation:

As you can see they added 3 more squares to the first block which gave you 4. Then they added 5 squares to the second one. If you take the third block, you will count 7 squares on the outside of the third block.

Answer:

x around 53.7

Step-by-step explanation:

We use cosine^-1 to solve for x

In the calculator put in cos^-1 (16/27)

Answer:

500cm^3

Step-by-step explanation:

Can be divided intI a square and cuboid

Volume of square= Length^4

Volume= 5^3

V=125cm^3

Volume of cuboid= L× B × H

Volume= 15× 5× 5

Volume=375cm^3

375+125= 500

Answer:

The interval that would represent weights of the middle 95% of all oranges from this orchard is from 5 oz to 7 oz.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 6

Standard deviation = 0.5

Middle 95% of weights:

By the Empirical Rule, within 2 standard deviations of the mean.

6 - 2*0.5 = 5

6 + 2*0.5 = 7

The interval that would represent weights of the middle 95% of all oranges from this orchard is from 5 oz to 7 oz.

Answer:

6 divided by 30 is equal to 0.2.  

Step-by-step explanation:

You make the fraction into 6/30, you reduce it to 1/5 which then you do 1 divided by 5 which also gets you to 0.2.

Answer:

m equals 4

Step-by-step explanation:

m represents the slope of the line.

The line equation is y = mx + b, which means that m = 4 and b = 0