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2 years ago

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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Four pounds of bananas cost $1.96. how much does it cost per pound?

adelina 88 [10]

4 pounds = $1.96
1.96 / 4 = $0.49

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2 years ago

1.488 divided by 2.1 rounded to nearest tenth

Neko [114]

The answer should be 0.70

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2 years ago

Emery looks out their apartment window to the building across the way. The building isknown to be 42 feet tall. The angle of dep

Amanda [17]

Answer:

$x=44.5ft$

Step-by-step explanation:

From the question we are told that:

Height $h=42ft$

Angle of depression $\theta=27\textdegree$

Angle of Elevation $\alpha=23 \textdegree$

Generally the equation for the vertical distance between Emery's distance x and the bottom of the building is mathematically given by

Since the angle of depression and elevation are given as

27 and 23 respectively

Therefore

Emery's view of the 42 ft building is

$\gamma=23+27$

$\gamma=50 \textdegree$

Therefore Emery's distance x to the base of the building h' is

$h'=\frac{27}{50}*42$

$h'=22.68ft$

Generally the Trigonometric equation for Emery's distance x is mathematically given by

$x=\frac{h'}{tan\theta}$

$x=\frac{22.68}{tan 27}$

$x=44.5ft$

6 0

1 year ago

4400 dollars is placed in an account with an annual interest rate of 8.25%.how much will be in the account after 22 years, to th

iVinArrow [24]

Answer:

Future Value = $2,516,900 cent

Step-by-step explanation:

Here, we're to calculate future values;

Given the following parameters

Investment = $4,400

Interest Rate = 8.25%

Time = 22 years

Amount = ?

Future Value is calculated using the following formula;.

Future Value = Investment * (1 + Interest Rate)^time

Substitute each value;

Future Value = $4,400 * ( 1 + 8.25%)^22

Future Value = $4,400 * (1 + 0.0825)^22

Future Value = $25169.036295801178201749433678664198539199704088854443412123828238691203296184539794921875

Future Value = $25169 --- Approximated

Convert to Cent

Future value = $25,169 * 100 cent/$

Future Value = $2,516,900 cent

Hence, $2,516,900 cent will be in the account after 22 years

6 0

2 years ago

Round 15,680 to the nearest thousand

nekit [7.7K]

To round to the nearest thousand, we check the digit in the hundreds place. If it is less than 5, we round down, else we round up to the next thousand.

In this case, the digit in the hundreds place is "6" and "6" is 5 or more, so we round up to the next thousand.

15 680 ≈ 16 000

7 0

2 years ago