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3 years ago

A carpenter designs an A-frame chalkboard. Its support bars form the legs of an isosceles triangle.

Mathematics

1 answer:

ahrayia [7]3 years ago

6 0

angle for triangle is 180°

angle ACB is 75° because it has mention that is an isosceles triangle

So that angle of BAC is 180°-75°-75°=30°

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A rectangle has a length that is three feet more than twice it’s width. If the area of the rectangle is 90 square feet, then alg

Mkey [24]

Answer:

$Length=27feet\\Width=12 feet$

Step-by-step explanation:

Let, the length of the rectangle be 'L'

and, width of the rectangle be 'W'

length=2*Width+3

$L=(2W+3) feet\\\\$

Area of the rectangle= 90 square feet

Area of a rectangle = Length*Width

$90=(2W+3)*W\\\\2W^2+3W=90\\\\2W^2+3W-90=0\\\\$

Using Factorization Method to solve quadratic equation:

$2W^2-12W+15W-90=0$

Taking common from the equation:

$2W(W-12)+15(W-12)=90\\\\(W-12)(2W+15)=0\\\\W-12=0\\\\W=12 feet$

$2W+15=0\\\\2W=-15\\\\W=-7.5 feet$

The Width cannot be negative, therefore Width(W)=12 feet

$Length=2*Width+3\\\\=(12*2)+3\\\\=24+3\\\\=27 feet$

$Length=27feet\\Width=12 feet$

3 0

3 years ago

I need helpppppppp!!!

yarga [219]

Answer: i would say probably 3 or -3

I hope it helps

3 0

3 years ago

the cost of printing a store flyer is 440 for 1000 copies and 880 for 2000 copies. write a linear equation for modeling this dat

Anna35 [415]

Since they tell us that this is linear, having a constant rate of change, we can express this as a line:

y=mx+b, where m=slope (change in y divided by change in x) and b=y-intercept (value of y when x=0)

First find the slope, or m, which mathematically is:

m=(y2-y1)/(x2-x1), in this case:

m=(880-440)/(2000-1000)

m=440/1000

m=0.44, so far our line is:

y=0.44x+b, now we can use either data point to solve for b, I'll use (1000,440)

440=0.44(1000)+b

440=440+b

0=b, so our line is just:

y=0.44x

7 0

3 years ago

Read 2 more answers

A bag of marbles contains 1 green, 5 red, and 2 blue. Find the probability of picking a red marble, putting it back in the

sleet_krkn [62]

Answer:

Red = 25/32768

Blue = 4/64

Step-by-step explanation:

Green Marbles = 1

Red Marbles = 5

Blue Marbles = 2

Probability of picking a red marble = 5/8 x 5/8 x 5/8 x 5/8 x 5/8 = 25/32768

Probability of picking a blue marble = 2/8 x 2/8 = 4/64

6 0

2 years ago

How many 8's are in the answer and sum 5890/45?

Novay_Z [31]

Answer:

1. There are infinite 8's

2. The estimate is 130.89

3. The difference is 0.01

Explanation:

There are countless, or infinite, 8's in the answer because the result is a periodic decimal:

$\dfrac{5890}{45}=130.8888 . . .$

The notation used for the periodic decimal numbers is an arc over the number that is repeated. In this case, it would be an arc over the first 8.

I will use a bar just to show how it is, but instead of a bar it should be an arc:

$\dfrac{5890}{45}=130.\overline 8$

The estimation or approximation to two decimal places requires to drop the 8's since the third one and increase the second 8 to 9 (because the first decimal dropped is greater than or equal to 5).

Thus the estimated value would be 13.89.

The difference is:

130.89 - 130.888. . . = 0.0111. . .
Rounded to 2 decimal places: 0.01

3 0

3 years ago