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3 years ago

Help me on this please, giving more points than usual for this.

Mathematics

1 answer:

Genrish500 [490]3 years ago

7 0

Answer:

the angle is = 50

Step-by-step explanation:

8x+2+70+60=180° (interior angles of a triangle add up to 180°)

8x+132=180

8x=180-132

8x=48

divide with the coefficient of x both sides

x=6

substitute

(8(6)+2)+70+60=180

50+70+60=180

180=180

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Which set of numbers does not contain 75?

Ksivusya [100]

Answer:

D, irrational numbers,

Step-by-step explanation:

75 is part of all groups except irrational numbers, it is an integer, a whole number and a natural number..

3 0

2 years ago

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Which shows 0.00234 written in scientific notation?

topjm [15]

It’s D

the reason why is because the multiplier must be between 1 and 10
(
1
≤
x
≤
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)
so first more your decimal there which you get:
2.34
then just count how many numbers the decimal jumped, if the decimal moved left the exponent is positive and if it moved right, as in your number, the exponent is negative

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6 0

1 year ago

A contractor is building a fenced-in area at a daycare. The area will be rectangular with the length of its base equal to half t

AlladinOne [14]

Answer:

The length of fencing will be $300\ ft$

Step-by-step explanation:

Step 1

Find the dimensions of the rectangle

we know that

The area of a rectangle is equal to

$A=bh$

In this problem we have

$A=5,000\ ft^{2}$

$5,000=bh$ -----> equation A

$b=\frac{h}{2}$ -----> equation B

Substitute equation B in equation A

$5,000=(\frac{h}{2})h$

$10,000=h^{2}$

square root both sides

$h=100\ ft$

Find the value of b

$b=\frac{h}{2}$ -----> $b=\frac{100}{2}=50\ ft$

step 2

Find the length of fencing

The perimeter of a rectangle is equal to

$P=2(b+h)$

we have

$h=100\ ft$

$b=50\ ft$

substitute

$P=2(50+100)=300\ ft$

6 0

4 years ago

Sales of a new line of athletic footwear are crucial to the success of a newly formed company, Fleet Shoes. Fleet wishes to esti

Murrr4er [49]

Answer:

The number of weeks required = 216 weeks

Step-by-step explanation:

Given that:

Margin of Error E = 200

Confidence interval = 95% = 0.95

Level of SIgnificance = 1 - C.I

= 1 - 0.95

= 0.05

Standard deviation = 1500

The Critical value for Z :

$Z_{\alpha/2} =Z_{0.05/2} \\ \\ = Z_{0.025} = 1.96$

The number of weeks( i.e the sample size (n) ) required is :

$n = (\dfrac{Z_{\alpha/2} \times \sigma}{E})^2$

$n = (\dfrac{1.96 \times 1500}{200})^2$

$n = (14.7)^2$

n = 216.09

n ≅ 216 weeks

8 0

3 years ago

The designers of drink cartons must consider the length of the straw required so that it will reach the bottom

daser333 [38]

Answer:

<em>The length of the straw is 13.53 cm</em>

Step-by-step explanation:

<u>Rectangular Prism</u>

A rectangular prism or cuboid is a box-shaped object. It has six flat faces and all angles are right angles. And all of its faces are rectangles.

If the straw must reach into the diagonally opposite corners of the base of the carton, then its minimum length is calculated by:

$d^2= a^2+b^2+c^2$

Where a,b, and c are the dimensions of the cuboid. The image shows the dimensions of the drink carton: a=6 cm, b=10 cm, c=4 cm (order is not important), thus:

$d^2= 6^2+10^2+4^2=36+100+16=152$

$d=\sqrt{152}$

d= 12.33 cm

The straw must stick out of the carton by an additional 1.5 cm, thus the total length of the straw is: 12.33 + 1.5 = 13.53 cm

4 0

3 years ago

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