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Svetllana [295]
3 years ago
15

7.

Mathematics
1 answer:
NARA [144]3 years ago
4 0

Answer:

PB = 1.8

Step-by-step explanation:

PQ = 8 cm, BC = 10 cm and AB = 9 cm

∆ABC is similar to ∆APQ.

Therefore:

\frac{AB}{AP} = \frac{BC}{PQ}

Plug in the values

\frac{9}{AP} = \frac{10}{8}

Cross multiply

AP × 10 = 8 × 9

AP × 10 = 72

Divide both sides by 10

AP = 7.2

PB = AB - AP

PB = 9 - 7.2

PB = 1.8

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Evaluate tan20.tan35.tan45.tan55.tan70​
LiRa [457]

Answer:

tan20.tan35.tan45.tan55.tan70​ =1

Step-by-step explanation:

tan20.tan35.tan45.tan55.tan70​

=tan(90-70) . tan(90-55) . tan45 .tan55.  tan70

                                                                           [we know,  tan(90-θ)=cotθ]

=cot70 . cot55 .  tan45 .tan55.  tan70

= { tan70°.cot70°} {tan55°.cot55°}.tan45°              

=1 . 1 . 1                                                         [we know,  tan∅.cot∅ = 1 & tan45°=1]

=1

pls mark as brainliest.

3 0
3 years ago
Given that 2x-5y=17 find x when y =1​
Virty [35]

Answer:

2x1-5y=17

2-5y=17

-5y=17-2

-5y=15

y=-3

Step-by-step explanation:

3 0
3 years ago
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The parallelogram shown below has an area of 54 units^2 squared. Find the missing height. h = units.
rewona [7]

Answer:

See Explanation

Step-by-step explanation:

This question requires an attachment.

However, if you follow my explanation, you'll arrive at your answer

The area of a parallelogram is:

Area (A)= Base (b) * Height (h)

A = b * h

To solve for Height, we simply make h the subject of formula

h = \frac{A}{b}

In this question, we have that A = 54

Now, let's assume base (b) = 6.

This implies that

h = \frac{54}{6}

h = 9

Or;

Assume that b = 3

h = \frac{54}{3}

h = 18

<em>So, whatever the base of the parallelogram is;</em>

<em>You can easily solve for the height using the above steps</em>

8 0
4 years ago
What is the area of this figure?
Mila [183]

Answer:

1240 yd²

Step-by-step explanation:

3 0
3 years ago
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Given the triangle below, what is the length of the third side, rounded to the nearest whole number?
Leno4ka [110]

Answer:

Step-by-step explanation:

You need the Law of Cosines for this, namely:

x^2=21^2+14^2-2(21)(14)cos58 where x is the missing side.

x^2=441+196-311.5925 and

x^2=325.4075 so

x = 18.0 or just 18

7 0
3 years ago
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