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3 years ago

1.

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

5 0

Answer:

a 72

b 7

Part C)

___7_|_35+63_

_____|__9+5__

35+63=7(9+5)=714=98 or 35+63=98

Step-by-step explanation:

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In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=84°, and OP = 2. 9 feet. Find the length of PQ to the nearest tenth of a foot

Afina-wow [57]

OP= 27. 6

Step-by-step explanatexplanation:

In triangle OPQ: Ô+P+Q =180

therefore <P= 6°

OQ= OP sinsinà

OP= OQ/ sinà

OP= 2.9/ sin6°

OP= 27.7 ft

using pythagoras

OP^2 = PQ^2 + OQ^2

PQ= sqrt( 27.74^2 - 2.9^2)

PQ= 27.27.6

7 0

3 years ago

Paddy and Anna each invest $2000 for 5 years.

Serga [27]

Answer: r= 1.22

Step-by-step explanation:

Formula for amount with simple interest = $P(1+rt)$

, where

P= principal value , r= rate of interest , t = time.

Given: P= $2000, t= 5 years, r= 1.25% = 0.0125

$A=2000(1+0.0125\times5)\\\\=2000(1.0625)=2125$

Formula to compute compound amount : $P(1+r)^t$

$=2000(1+r)^5$

When both have same worth then

$2000(1+r)^5=2125\\\\\\ (1+r)^5=\dfrac{2125}{2000}\\\\\\ (1+r)^5=1.0625$

taking log on both sides , we get

$5\ln (1+r)=\ln 1.0625\\\\\\ 5\ln (1+r)=0.0606246\\\\\\ \ln (1+r)=0.012125\\\\\\ 1+r=e^{0.005266}\\\\\\ 1+r=1.0122\\\\ r=0.0122\\\\ \\ r=1.22\%$

Hence, Value of r= 1.22

6 0

3 years ago

Find the value of x.

allochka39001 [22]

In order to find the value of x, you have to cross multiply both equations. 4x-10 is basically 4 times something subtract 10. Same thing as well for 3x-2. Now it says to find the value of x. X has to also be the same answer for both equation as well. By the way x doesn't have a given number so there is no specific answer.

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3 years ago

Solve for me plzzzzzzzzzzzzzz x^2=12 kay thanx

Setler79 [48]

${x}^{2} = 12 \\ x = \sqrt{12} \\ x = \sqrt{4} \times \sqrt{3} \\ x = 2 \times \sqrt{3} \\ x = 2 \sqrt{3}$