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2 years ago

I need help with number 4 please!! How do u do it??

Mathematics

1 answer:

skad [1K]2 years ago

6 0

Volume of triangular pyramid = 1/3 b²h

Use the formula to find your answer.

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the length of a rectangular building is 6 feet less than 3 times t he width. The perimeter is 120 feet. Find the width and the l

garri49 [273]

Call the width x. Note that the length is 3x-6. We know that double the width plus double the length is 120, so we write an equation:

$2(x)+2(3x-6)=120$
$2x+6x-12=120$
$8x-12=120$
$8x=132$
$x=16.5$
If x is 16.5, the width is 16.5, and the length is $3 \cdot 16.5 - 6 = 43.5$ .

5 0

2 years ago

1.5(x+4)-3=4.5(x-2)?

lukranit [14]

Answer:

x=4

Step-by-step explanation:

3 0

2 years ago

Write the equation of the line that passes through the given point and is parallel to the given line.

romanna [79]

<u>(Note: this answer is assuming that the equation has to be put in slope-intercept format.)</u>

Answer:

$y = \frac{1}{2} x - \frac{5}{2}$

Step-by-step explanation:

1) Let's use the point-slope formula to determine what the answer would be. To do that though, we would need two things: the slope and a point that the equation would cross through. We already have the point it would cross through, (-3,-4), based on the given information. So, in the next step, let's find the slope.

2) We know that the slope has to be parallel to the given line, $y = \frac{1}{2}x - 8$ . Remember that slopes that are parallel have the same slope - so, let's simply take the slope from the given equation. Since it's already in slope-intercept form, we know that the slope then must be $\frac{1}{2}$ .

3) Finally, let's put the slope we found and the x and y values from (-3, -4) into the point-slope formula and solve:

$(y- (-4)) = \frac{1}{2} (x - (-3))\\y + 4 = \frac{1}{2} (x + 3))\\y + 4 = \frac{1}{2}x+ \frac{3}{2} \\y = \frac{1}{2}x + \frac{3}{2} - 4\\y = \frac{1}{2}x + \frac{3}{2} - \frac{8}{2} \\y = \frac{1}{2}x - \frac{5}{2}$

Therefore, $y = \frac{1}{2}x - \frac{5}{2}$ is our answer. If you have any questions, please do not hesitate to ask!

3 0

2 years ago

If a 30 foot ladder is positioned so that the bottom of the ladder is 1/4 of its length away from the wall, how far up the wall

klio [65]

Answer:

7.5

Step-by-step explanation:

I divided 30 by 4 and got 7.5

3 0

2 years ago

Eunice wanted to save up for a mountain bike that costs £250. She baby-sits each week for 6 hours for £2.75 an hour, and does a

choli [55]

Answer:

Approximately 2 weeks

Step-by-step explanation:

Given data

Cost of bike= £250

<em>Assuming she works for 6 days</em>

1.Babysitting

6*2.75=£16.5 per day

for 6 days

=16.5*6

=£99

2. Saturday Job

=£27.50

Total earnings for the week

=£27.50+£99

=£126.5 weekly

Hence it will take her

=250/126.5

=1.97 week

Approximately 2 weeks to save up the amount

3 0

2 years ago