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Bogdan [553]
1 year ago
6

Find the length of the third side. If necessary, round to the nearest tenth. 18 30

Mathematics
1 answer:
Mumz [18]1 year ago
4 0

Answer:

24

Step-by-step explanation:

let \: the \: length \: of \:  \: the \: third \: side \:  = y \\ using \: pythaoras \: theorem \:  \\ 30 {}^{2} = y { }^{2}   + 18 {}^{2}  \\ y {}^{2}  = 30 {}^{2}   - 18 {}^{2}  \\ y {}^{2}  = 900 - 324 \\ y {}^{2}  = 576 \\ y =  \sqrt{576}  \\ y = 24 \\ lenht \: of \: the \: third \: side = 24

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Sonja had $128 in her checking account. She deposited a check for x hours of work for which she earns $16 an hour. Which equatio
Sliva [168]
The amount of hours worked is 8 hours all you do is set them equal to eachother


128/16=16T/16


then divide by 16 on both sides to find the T
3 0
3 years ago
George's total points is 5 less than susan's total points. Does geroge need more points or fewer susan points?
Firdavs [7]

Answer:  Need more points.

Step-by-step explanation:

If George's total point  is 5 less than susan's points then  George needs more points to  make up to susan or pass susan's points.

For example ,

g =  s - 5       where g is George's points and s is susan's point.  

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3 0
3 years ago
Write the vertex form of the quadratic equation by completing the square and upload a picture of your work. y=4x^2+16x-48
luda_lava [24]

The vertex form of the quadratic equation given is  y = 4(2x +1)² -12

<h3>What is an Equation ?</h3>

An equation is formed when two algebraic expressions are equated by an equal sign , It has wide usage in mathematics to find the unknown variables.

A quadratic equation is given

y = 4x² +16x -48

The vertex form has to be written for it

The standard quadratic equation is

y = a(x-h)² +k

where h and k are the vertex

From the given equation

y = 4x² +16x +4 - 4 -8

y = (4x+2)² -12

y = 4(2x +1)² -12

So here it is in the standard form

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To know more about Equation

brainly.com/question/10413253

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5 0
2 years ago
Solve the right triangle, ΔABC, for the missing sides and angle to the nearest tenth given angle B = 27° and side c = 15.
nignag [31]

Answer:

Part 1) C=90\°

Part 2) A=63\°

Part 3) b=6.8\ units

Part 4) a=13.4\ units

Step-by-step explanation:

step 1

Find the measure of angle C

we know that

The triangle ABC is a right triangle

so

Angle C is a right angle

therefore

C=90\°

step 2

Fin the measure of angle A

we know that

In the right triangle ABC

∠B+∠A=90° -----> by complementary angles

we have

B=27\°

substitute

27\°+A=90\°

A=63\°

step 3

Find the length side b

we know that

In the right triangle ABC

sin(B)=b/c

b=(c)sin(B)

substitute the given values

b=(15)sin(27\°)=6.8\ units

step 4

Find the length side a

we know that

In the right triangle ABC

sin(A)=a/c

a=(c)sin(A)

substitute the given values

a=(15)sin(63\°)=13.4\ units

6 0
3 years ago
Why are mathematical proofs important?
Makovka662 [10]
One reason is so the teacher can actually see that your working the problem out

7 0
3 years ago
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