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4 years ago

What are the values of x and y?

Mathematics

1 answer:

adoni [48]4 years ago

4 0

Answer:

Step-by-step explanation:

hello :

use pytagor-rule :

triangle ABC : (x+15)² =17²+y²....(*)

triangle BDC : y² = x²+8²....(**)

by (**) put the value of y² in (*) :

(x+15)² = 17²+x²+8²

x²+30x+15² = 17²+x²+18²

30x +225 = 289+64

30x = 128

x= 128/30

x= 64/15

put this value in (**) calculate y² ......continu

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. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR = 17m, diagonal QS

trapecia [35]

Answer:

495 meter²

Step-by-step explanation:

In the given kite QRST,

PQ = PS = 15 meter

QR = 17 meter

We have to find the area of the kite.

Since kite is in the form of a rhombus.

and rhombus is = $\frac{1}{2}$ (Diagonal QS) × (Diagonal RT)

In Δ QRP,

17² = 15² + RP²

$\sqrt{17^{2}-15^{2}} = RP$

$RP=\sqrt{289-225}$

= √64 = 8 meters.

So RT = RP + PT = 8 + 25 = 33 meter.

Now area of kite = $\frac{1}{2}$ (30) (33) = 495 meter²

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3 years ago

Find the 9th term of the geometric sequence 2, -10 50 -250

tigry1 [53]

Answer:

781250

Step-by-step explanation:

We first need to find the common ratio

-10 /2 = -5

50 / -10 = -5

The common ratio is -5

an = a (r) ^ (n-1)

a9 = 2 ( -5) ^(9-1)

= 2 (-5)^8

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3 years ago

Total Price: The sales tax rate is 8%. If the sales tax on a 10-speed bicycle is $12, what is the purchase price? The purchase p

stepladder [879]

Answer:

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Step-by-step explanation:

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Purchase Price = $150

Total Price = Purchase Price + Tax

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3 years ago

Jennifer sold 57 pieces of art if she sold twice as many paintings as sculptures how many painting did she sell??

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3 years ago

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