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STALIN [3.7K]
3 years ago
6

(Use photo ) find the length of the hypotenuse in each right triangle. Please show work and round to the nearest tenth,if necess

ary.

Mathematics
1 answer:
borishaifa [10]3 years ago
4 0
9.) QP=5-1
QP=4units
QR=3+1
QR=4units

squareroot 4^(2)+4^(2)

and you should get 5.66 (cor. to 3 s.f.)

10.) LM=5units
MN=7units

squareroot 7^(2)+5^(2)
you should get 8.06 (cor. to 3 s.f.)
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Randi and her sister make balloon animals and sold them for $.50 each. They made $48.00. If rando made twice as many animals as
nydimaria [60]

Randy made 64 ballon animals and her sister made 32 ballon animals

<em><u>Solution:</u></em>

Let the number of ballon animals sold by Randi be "x"

Let the number of ballon animals sold by her sister be "y"

Cost of 1 ballon animal = $ 0.50

<em><u>Rando made twice as many animals as her sister</u></em>

Number of ballon animals sold by Randi = twice the number of ballon animals sold by her sister

x = 2y ---- eqn 1

<em><u>Together, they earned $ 48</u></em>

Therefore, we can frame a equation as:

Number of ballon animals sold by Randi x Cost of 1 ballon animal + number of ballon animals sold by her sister x Cost of 1 ballon animal = 48

2y \times 0.50 + y \times 0.50 = 48

1y + 0.5y = 48\\\\1.5y = 48\\\\y = \frac{48}{1.5}\\\\y = 32

<em><u>Therefore, from eqn 1</u></em>

x = 2y

x = 2(32)

x = 64

Thus Randy made 64 ballon animals and her sister made 32 ballon animals

6 0
3 years ago
By ignoring your real intersets when choosing a career,you risk spending your work life feeling bored, and dissatisfied.
Neporo4naja [7]

Answer: D because it would mess with your feelings

6 0
3 years ago
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Find the surface area and volume of each figure. Round each answer to the nearest hundredth.
Llana [10]

Answer: Surface area is equal to 200cm^{2}

Volume is equal to 333.33cm^{3}

Step-by-step explanation:

First, let's do surface area.

The surface area of a pyramid is equal to 1/2(perimeter of base)(lateral height) + area of the base

The perimeter of the base is 10(4) = 40; as the base is a square with a side length of 10.

The lateral height is given as 5 cm.

The area of the base is 10(10) = 100.

We can plug those numbers into the equation to get 1/2(40)(5) + 100, which comes out to be 200cm^{2}.

Now for volume.

The volume of a pyramid is equal to 1/3(area of the base)(height).

We already have the area of the base, which is 100.

The height is given as 10 cm.

Plugging those numbers into the equation, we get 1/3(100)(10), which is 1000/3 or about 333.33cm^{3}.

Hope this helps!

6 0
3 years ago
13. WILL MARK BRAINLIEST!! HELP!​
Umnica [9.8K]

Answer:

\large\boxed{\dfrac{x+2}{x^2-6x-16}\div\dfrac{1}{9x}=\dfrac{9x}{x-8}}

Step-by-step explanation:

\dfrac{x+2}{x^2-6x-16}\div\dfrac{1}{9x}=\dfrac{x+2}{x^2+2x-8x-16}\cdot\dfrac{9x}{1}\\\\=\dfrac{(x+2)(9x)}{x(x+2)-8(x+2)}=\dfrac{(x+2)(9x)}{(x+2)(x-8)}\\\\\text{cancel}\ (x+2)\\\\=\dfrac{9x}{x-8}

8 0
3 years ago
For which rational expression is –2 an excluded value of x?
statuscvo [17]
Answer is A 
X-3/x^2-4 has two excluded values 2, -2
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