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2 years ago

Explain what the slope and intercept mean in the situation.

Mathematics

1 answer:

kicyunya [14]2 years ago

3 0

Answer:

y=1/4x+8

Step-by-step explanation:

There was $8 in the box initially

4 tickets cost $1

Hope this helps have a great day

(P.S. I have the answer sheet if u need it)

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The length of a rectangle is 4 cm more than the width. The are is 96 cm squared. Find the dimensions of the rectangle.

lozanna [386]

width = w

length = w+4

Area = l*w

substitute

96 = (w+4) *w

distribute

96 = w^2 +4w

subtract 96 from both sides

0 = w^2 +4w -96

factor

0=(w+12) (w-8)

w+12=0 w-8=0

w=-12 w=8

cannot have negative width

w=8

l=12

Answer: width =8 cm

length = 12cm

3 0

3 years ago

In the circle below, DB = 22 cm, and m<DBC = 60°. Find BC. Ignore my handwriting.

Karo-lina-s [1.5K]

Answer:

$BC=11\ cm$

Step-by-step explanation:

step 1

Find the measure of the arc DC

we know that

The inscribed angle measures half of the arc comprising

$m\angle DBC=\frac{1}{2}[arc\ DC]$

substitute the values

$60\°=\frac{1}{2}[arc\ DC]$

$120\°=arc\ DC$

$arc\ DC=120\°$

step 2

Find the measure of arc BC

we know that

$arc\ DC+arc\ BC=180\°$ ----> because the diameter BD divide the circle into two equal parts

$120\°+arc\ BC=180\°$

$arc\ BC=180\°-120\°=60\°$

step 3

Find the measure of angle BDC

we know that

The inscribed angle measures half of the arc comprising

$m\angle BDC=\frac{1}{2}[arc\ BC]$

substitute the values

$m\angle BDC=\frac{1}{2}[60\°]$

$m\angle BDC=30\°$

therefore

The triangle DBC is a right triangle ---> 60°-30°-90°

step 4

Find the measure of BC

we know that

In the right triangle DBC

$sin(\angle BDC)=BC/BD$

$BC=(BD)sin(\angle BDC)$

substitute the values

$BC=(22)sin(30\°)=11\ cm$

6 0

3 years ago

PLEASE HELP I WILL MARK BRAINLIEST!<br> Question is in the image.

deff fn [24]

Answer:

Step-by-step explanation:

The interquartile range of a data set is the difference between the upper and lower quartiles.

First, put the values in order from least to greatest:

8, 9, 9, 9, 10, 11, 13, 15, 17, 18, 22

To find the upper quartile, we need to first find the median.

The median of this data set is 11, because it is in the middle of the values.

The upper quartile is the median of all the numbers to the left of 11.

The median of 8, 9, 9, 9, and 10 is 9, because it's in the middle.

So the upper quartile is 9.

The lower quartile is the same, but to the right of 11. The median of 13, 15, 17, 18, and 22 is 17 because it's in the middle.

Now, to find the interquartile range, find the difference between 18 and 9.

17 - 9 = 8

5 0

2 years ago

A hexagonal pyramid is cut by a plane as shown in the diagram. What is the shape of the resulting cross section? see diagram

Alenkasestr [34]

From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.

Answer: resulting cross section is a hexagon, correct choice is option 4.

9 0

3 years ago

Read 2 more answers

Find the value of tangent for angle A

gavmur [86]

AC = √(40²-12²) = √(1600-144) = √1456 = 4√91

tanA = 12/4√91 = 3/√91 = 3√91/91

option а.

4 0

3 years ago

Read 2 more answers