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fiasKO [112]
3 years ago
13

In ΔOPQ, the measure of ∠Q=90°, the measure of ∠P=79°, and QO = 8.5 feet. Find the length of OP to the nearest tenth of a foot.

Mathematics
1 answer:
Nady [450]3 years ago
6 0

Answer:8.7

Step-by-step explanation:

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An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How many pounds of nickel have to be used to create alloy that
Hunter-Best [27]

We are given ratio nickel to zinc to copper = 2:7:9.

From this ratio we can see that <em>ratio of nickel to zinc is 2:7</em>.

Let us assume number of pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc is x pounds.

So, we can setup a proportion as :

x : 4.9 =  2:7

Or

\frac{x}{4.9}=\frac{2}{7}

On cross multiplication, we get

7x= 4.9× 2

7x = 9.8

Dividing both sides by 7, we get

x = 1.4.

<h3>Therefore, 1.4 pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc.</h3><h3 />
6 0
3 years ago
MRS SMITH HAS 12 times as many markers as colored pencil. The total number of markers and colored pencil is 78. How many markers
Anika [276]
Multiply 78 and 12.
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3 0
3 years ago
Read 2 more answers
0.551 as a percent <br><br> Thank you
Bingel [31]

Answer:

55.1%

Step-by-step explanation:

When a number is a percent, then one mutliplies it by 100, because a percent is a way of representing a value out of 100. Therefore, 0.551 as a percent is;

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5 0
3 years ago
Calculate the area of the parallelogram, giving your answer correct to 3 significant figures.
Oliga [24]

Answer:

114 units²

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, so

AB = CD , that is

13x - 7 = 5x + 9 ( subtract 5x from both sides )

8x - 7 = 9 ( add 7 to both sides )

8x = 16 ( divide both sides by 8 )

x = 2

Then

5x + 9 = 5(2) + 9 = 10 + 9 = 19

3x = 3(2) = 6

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height ), thus

A = 19 × 6 = 114 units²

5 0
3 years ago
What is the formula for the area A of a trapezoid with parallel sides of length B and D, nonparallel sides of length A and C and
loris [4]

Answer:

(B) \dfrac12H (B+D)

Step-by-step explanation:

\text{Area of a trapezoid }= \dfrac12 ($Sum of the parallel sides) \times $Height\\Parallel Sides = B and D\\Height =H\\Therefore:\\\text{Area of the trapezoid }= \dfrac12 (B+D) H

The correct option is B.

4 0
3 years ago
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