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Dennis_Churaev [7]

3 years ago

14

Billy has x marbles. Write an expression for the number of marbles the following have… a) Charlie has 5 more than Billy b) Danny

has 8 fewer than Billy c) Eric has three times as many as Billy

1 answer:

tankabanditka [31]3 years ago

8 0

Answer:

Charlie: 5 + x
Danny: x - 8
Eric: x × 3

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Answer:

4

Step-by-step explanation:

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Name three radii of Circle S.

Talja [164]

Answer:

circle S radii SU, ST, SR

Circle U radii UT, US, UR

Step-by-step explanation:

Radii start in the middle of the circle to the end of the circle.

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Question 10 (7 points) d Elizabeth borrowed $20,000 for five years at a 5% annual interest rate, what is her monthly payment, to

zhenek [66]

Answer:

monthly payment is $377

C is the correct option.

Step-by-step explanation:

The formula for the monthly payment is given by

$C=\frac{Prt(1+r)^n}{(1+r)^n-1}$

Given that,

P = $20,000

n = 5 years = 60 months

r = 0.05

Substituting these values in the formula

$C=\frac{20000\cdot \frac{0.05}{12}(1+\frac{0.05}{12})^{60}}{(1+\frac{0.05}{12})^{60}-1}$

On simplifying, we get

$C=\$377.425\\\\C\approx \$377$

Therefore, the monthly payment is $377

C is the correct option.

4 0

3 years ago

The formula for the area of a rectangle is A = lw. What

emmasim [6.3K]

Answer:

20 square units

Step-by-step explanation:

we know that

The area of rectangle is equal to

$A=LW$

In this problem

$L=WX=ZY\\W=WZ=XY$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

<em>Find the distance WX</em>

we have

W(-3,1), X(3,3)

substitute the values in the formula

$d=\sqrt{(3-1)^{2}+(3+3)^{2}}$

$d=\sqrt{(2)^{2}+(6)^{2}}$

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<em>Find the distance XY</em>

we have

X(3,3),Y(4,0)

substitute the values in the formula

$d=\sqrt{(0-3)^{2}+(4-3)^{2}}$

$d=\sqrt{(-3)^{2}+(1)^{2}}$

$d_X_Y=\sqrt{10}\ units$

<em>Find the area of rectangle</em>

$A=(WX)(XY)$

substitute the values

$A=(\sqrt{40})(\sqrt{10})=20\ units^2$

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3 years ago

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If cote = and the terminal point determined by a is in quadrant 3, then:

erma4kov [3.2K]

Answer:

The correct option is:

cosθ = -3/5

Step-by-step explanation:

We have been given that:

cotθ = 3/4

such that the terminal side of θ lies in III quadrant.

Consider it a right angled triangle.

We know that:

cotθ = Base / Perpendicular

Which means Base has a magnitude of 3 and Perpendicular has the magnitude of 4.

As It lies in III quadrant, both x and y are negative.

So

Base = -3

Perpendicular = -4

Find the hypotenuse by using Pythagoras Theorem

H² = (-3)² + (-4)²

H = 5

We know that:

cosθ = Base / Hypotenuse

cosθ = -3/5

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4 years ago