Find the value of 5p + 2q when p= 4 and q= -7

Answers

Answer 1

Answer: (5x4) + (2x-7)
20 + -14 =6

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What is the percentage of 199.50 out of 286?

Answers

286 = 100 %
199.5 = x

In order to find x we need to cross multiply 286*x=199.5*100
286x=19950 / 286
x=69.8 (%)

In which pair is the value of Expression A two times the value of Expression B?A.
Expression A: 3 × (55 + 21)
Expression B: 3 × (22 1/2 + 21)

B.
Expression A: (75 + 23)
Expression B: (75 + 23) × 2

C.
Expression A: (44 + 32) × 8
Expression B: (44 + 32) × 4

D.
Expression A: (3 × 55) + 42
Expression B: (3 × 55) + 21

Answers

Answer:

Step-by-step explanation:

Susie mows a rectangular yard with a area of 72 square meters.The yard is 6 meters wide.What is the perimeter of the yard Susie mows

Answers

You already know that the width of the yard is 6 and the area is 72. The area is the length times the width. So the length*6=72.
Divide by 6 on each side and you get the length to be 12 yards.
Now to find the perimeter you find the sum of two times the width and two times the length.
2(6)+2(12)=perimeter
12+24+36
So the perimeter is 36 yards. Hope this helps.

What is deductive reasoning in geometry

Answers

Deductive reasoning is a valid form of proof.

deductive reasoning is the process by which a person makes conclusions based on previously known facts.

6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP and 324 from Q. How far is the ship from each of the coastguard stations?

Answers

Answer:

The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.

Step-by-step explanation:

Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.

But,

<P = 048°

<Q = $360^(o)$ - $324^(o)$

= 0 $36^(o)$

Sum of angles in a triangle = $180^(o)$

<P + <Q + <S = $180^(o)$

048° + 0 $36^(o)$ + <S = $180^(o)$

$84^(o)$ + <S = $180^(o)$

<S = $180^(o)$ - $84^(o)$

= $96^(o)$

<S = $96^(o)$

Applying the Sine rule,

$(y)/(Sin P)$ = $(x)/(Sin Q)$ = $(z)/(Sin S)$

$(y)/(Sin P)$ = $(z)/(Sin S)$

$(y)/(Sin 48^(o) )$ = $(17)/(Sin 96^(o) )$

$(y)/(0.74314)$ = $(17)/(0.99452)$

⇒ y = $(12.63338)/(0.99452)$

= 12.703

y = 12.70 km

$(x)/(Sin Q)$ = $(z)/(Sin S)$

$(x)/(Sin 36^(o) )$ = $(17)/(Sin 96^(o) )$

$(x)/(0.58779)$ = $(17)/(0.99452)$

⇒ x = $(9.992430)/(0.99452)$

= 10.0475

x = 10.05 km

Thus,

the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.

Ralph bought and 8foot long copper pipe he used 85 investors of the copper pipe how many inches of pipe were left over

Answers

Convert the total length of the pipe from feet to inches.

1 foot = 12 inches.

8 feet x 12 inches = 96 total inches.

96 inches - 85 inches = 11 inches are left over.

Final answer:

After converting the length of an 8-foot copper pipe to inches, we find it is 96 inches long. Ralph used 85 inches of the pipe, leaving 11 inches of the copper pipe leftover.

Explanation:

Ralph bought an 8-foot long copper pipe. Initially, we need to convert the length of the pipe from feet to inches since the part used is given in inches. 1 foot equals 12 inches, so an 8-foot pipe is 8 * 12 = 96 inches long. Ralph used 85 inches of the pipe. So, to find out how much is left over, we subtract the amount used from the total length of the pipe: 96 inches - 85 inches = 11 inches. Therefore, Ralph has 11 inches of copper pipe left over.

Learn more about Length Conversion here:

brainly.com/question/22250003

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Write the equation of a line in slope intercept form that passes through (3,-2) and (0,-5)

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