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3 years ago

Can someone explain to me how to solve problem 32?

Mathematics

1 answer:

krok68 [10]3 years ago

5 0

Ok so parallel equations mean they have equal slope, but different y intercepts. Here, we can solve and get the equation:

y=2/5x-7/5

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The following wedge prism has a volume of

tiny-mole [99]

Answer:

The volume of the prism is 27 cubic inches.

Step-by-step explanation:

In order to calculate the volume of the given prism, we need to apply the correct formula. The volume of the wedge prism is given by the following formula:

$Volume = \frac{1}{2}*b*h*l$

Applying the data from the problem on the equation above, we have:

$Volume = \frac{1}{2}*6*4.5*2\\Volume = 6*4.5\\Volume = 27$

The volume of the prism is 27 cubic inches.

6 0

3 years ago

PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!

Ede4ka [16]

Answer/Step-by-step explanation:

1. m<UTV = m<RTS = 85°

Reason: Definition of vertical angles.

Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.

2. m<R + m<S + m<RTS = 180°

Reason: sum of interior angles of a ∆.

3. 3x + 2x + 85° = 180°

Reason: Substitution

4. x = 19

Reason: Algebra

Solving the equation algebraically, we would have the following:

3x + 2x + 85° = 180°

Add like terms

5x + 85 = 180

5x = 180 - 85 (subtraction property of equality)

5x = 95

Divide both sides by 5

x = 19

6 0

3 years ago

Find ab if the coordinates of a are (3, 5 ( and b are (-3, -3) a- 8 b- 6 c- 12 d- 10

strojnjashka [21]

If you use the distance formula you get 10.

6 0

3 years ago

A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet

Natali5045456 [20]

Complete Question

A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet from the ground and he catches it when it is four feet from the ground,How long is the ball in the air?

Answer:

$t\approx 0.1s$

Step-by-step explanation:

From the question we are told that

Initial velocity $V_0= 18 ft/s$

Initial Height $h_1=5feet$

Final Height $h_2=4feet$

Generally the Newtons equation for motion is mathematically given by

$V^2 = U^2 + 2as$

Where

$s=h_2-h_1\\s=4-5\\s=-1ft$

And

$a=g=>9.81\\a=32.2ft/s^2$

Therefore

$V^2 = (18)^2 + 2(-32.2)(-1)$

$V^2 = 388.4$

$V =19.70786645\\V=19.71ft/s$

Generally the equation for Time is mathematically Given as

$t=\frac{V-U}{a}$

$t=\frac{19.71-18}{32.2}$

$t=0.05310559006$

$t\approx 0.1s$

Therefore the time spent on air by the ball is

$t=0.05310559006s$

4 0

3 years ago

03.03 mc) find the ordered pairs for the x- and y-intercepts of the equation 5x − 6y = 30 and select the appropriate option belo

Archy [21]

5x - 6y = 30

to find x intercept, sub in 0 for y
5x - 6(0) = 30
5x = 30
x = 30/5
x = 6......so the x intercept is (6,0)

to find the y intercept, sub in 0 for x
5(0) - 6y = 30
-6y = 30
y = 30/-6
y = -5...so the y intercept is (0,-5)

6 0

3 years ago