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gayaneshka [121]
2 years ago
5

Tanya’s rotation maps point K(24, –15) to K’(–15, –24). Which describes the rotation?

Mathematics
2 answers:
VARVARA [1.3K]2 years ago
6 0

Answer:

90 degree clockwise rotation.

Hope this helps!

harina [27]2 years ago
4 0
90 degree rotation clockwise : (a,b) --> (b,-a)
so... (24,-15) --> (-15,-24) is a 90 degree clockwise rotation
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The Smiths bought new furniture that cost $3,298.00. The store offered them
ad-work [718]

Answer:

10.99%.

Step-by-step explanation:

We have been given that the Smiths bought new furniture that cost $3,298.00. The store offered them  an option of putting $600 down and making equal payments of $300 a month  for 10 months.

First of all, we will find amount paid by down-payments in 10 months.

\$300\times 10=\$3,000

Total amount paid by Smiths: \$3,000+\$600=\$3,600.

Now we will find amount paid in interest by subtracting initial amount from total amount.

\text{Amount paid in interest}=\$3,600-\$3,298

\text{Amount paid in interest}=\$302

10 months = 10/12 year =5/6 year.

Now, we will use simple interest formula to solve for interest rate.

I=Prt

\$302=\$3,298*r*\frac{5}{6}

\$302=r*\frac{\$16,490}{6}

\$302*\frac{6}{\$16,490}=r*\frac{\$16,490}{6}*\frac{6}{\$16,490}

\frac{1,812}{\$16,490}=r

r=\frac{1,812}{\$16,490}

r=0.1098847786

r=0.1098847786\times 100

r=10.98847786\%

r\approx 10.99\%

Therefore, the annual interest rate is 10.99%.

7 0
1 year ago
Photon Lighting Company determines that the supply and demand functions for its most popular lamp are as follows: S(p) = 400 - 4
Alinara [238K]
S(p)=D(p)
400-4p+0.00002p4=2,800-0.0012p3
Solve for p
P=96.24
8 0
1 year ago
Read 2 more answers
Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4
crimeas [40]

We have been given an expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}. We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.

Let us simplify our given expression.

Using exponent property, a^m\cdot a^n=a^{m+n}, we cab rewrite our given expression as:

\left( 4^{-2+(-3)} \right)^{3}

\left( 4^{-5} \right)^{3}

Now we will use exponent property (a^m)^n=a^{m\cdot n}to further simplify our expression.

\left( 4^{-5} \right)^{3}= 4^{-5\cdot 3}

\left( 4^{-5} \right)^{3}= 4^{-15}

Therefore, Chris made mistake in step 2.

8 0
2 years ago
Triangle J K L is shown. Angle K L J is a right angle. The length of hypotenuse K J is 10.9 centimeters and the length of L J is
scZoUnD [109]

Answer:

sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x

Step-by-step explanation:

From the given triangle JKL;

Hypotenuse KJ = 10.9

Length LJ is the opposite = 8.9cm

The angle LKJ is the angle opposite to side KJ = x

Using the SOH CAH TOA Identity;

sin theta = opp/hyp

sin LKJ = LJ/KJ

Sinx = 8.9/10.9

x = arcsin(8.9/10.9)

sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x

7 0
2 years ago
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In a sale normal prices are reduced by 10% Nathalie bought pair of shoes in the sale for ?54 what was the original price
Mama L [17]

Answer:

$59.4

Step-by-step explanation:

7 0
2 years ago
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