The height of a triangle is 8cm more than the base. If the area is 90cm^2, find the base and the height

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

3 0

I get the base to be 4.74 and the height to be 12.74

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A seamstress uses 3/4 yards of material to make a uniform top for band members. If there are 6 3/4 yards of material left on the

dalvyx [7]

Answer:

She can make 9 uniform tops from the material left.

Step-by-step explanation:

Given:

Yards of material left on the bolt = $6\frac{3}{4}$

Material requirement for a uniform top for band members = $\frac{3}{4}\ yd$

To find the number of tops that can be made from the material left.

Solution:

In order to find the number of tops that can be made from $6\frac{3}{4}$ yards of material, we need to divide $6\frac{3}{4}\ yd$ by $\frac{3}{4}\ yd$ .

Number of uniform tops that can be made is given as:

⇒ $6\frac{3}{4}\div \frac{3}{4}$

We first convert mixed number to fractions.

⇒ $\frac{27}{4}\div \frac{3}{4}$

To divide fractions the fractions are multiplied after flipping the divisor.

⇒ $\frac{27}{4}\times \frac{4}{3}$

⇒ $\frac{27}{3}$

⇒ 9

Thus, she can make 9 uniform tops from the material left.

4 0

2 years ago

insens350 [35]

To start, the equation has to be converted to slope-intercept form, or $y=mx+b$ . Start by subtracting x from both sides; $x-x+2y=4$ , $2y=4-x$ . Switch 4 and -x around to conform to the formula; $2y=-x+4$ . Then divide by 2 to isolate y; $y=-\frac{1}{2}x+2$ . This is the final equation. Because the slope of a line perpendicular is always the opposite reciprocal (i.e. The opposite reciprocal of 4 is $-\frac{1}{4}$ , the opposite reciprocal of $-\frac{1}{5}$ is 5) the opposite reciprocal of $-\frac{1}{2}$ is 2. So the equation of the line is $y=2x$ , and the answer is A.