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Andrew [12]
2 years ago
8

What is length of X and length of Y

Mathematics
1 answer:
luda_lava [24]2 years ago
4 0

Answer:

It is a right angled triangle.

so

tan32 = p/b

or, tan32 = x/5

or, tan32×5 = x

so, x = 3.124

for 5 no. the answer is a. 3.124

For y,

cos32 = b/h

or, cos32 = 5/y

or, y = 5/cos32

so, y = 5.895

for 6 no. 5.895 is closest to 5.994, so the answer is c. 5.994.

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Look at the image for the problem :)
8_murik_8 [283]

Answer:

\displaystyle V = 28 \pi \ ft^3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Volume of a Cylinder Formula: \displaystyle V = \pi r^2h

  • V is volume
  • r is radius
  • h is height

Step-by-step explanation:

<u>Step 1: Define</u>

Radius <em>r</em> = 2 ft

Height <em>h</em> = 7 ft

<u>Step 2: Solve for V</u>

  1. Substitute in variables [Volume of a Cylinder Formula]:                                \displaystyle V = \pi (2 \ ft)^2(7 \ ft)
  2. [Volume] Evaluate exponents:                                                                         \displaystyle V = \pi (4 \ ft^2)(7 \ ft)
  3. [Volume] Multiply:                                                                                             \displaystyle V = 28 \pi \ ft^3
5 0
3 years ago
A regular-size box of cereal measures 3 1/2 inches by 8 1/2 inches by 15 inches. The manufacturer also sells an individual-size
Phoenix [80]

The individual-size box of cereal is a rectangular prism with a volume of 44.625 inches³.

<h3>What is the volume of a rectangular prism?</h3>

The volume of rectangular prism of length l, width w and height h is given by:

V = lwh.

In this problem, the standard dimensions are:

  • l = 3(1/2) = 3 + 0.5 = 3.5 inches.
  • w = 8(1/2) = 8 + 0.5 = 8.5 inches.
  • h = 15 inches.

The individual-size box has a 1/10 of the volume of the original box, hence:

V = 0.1 x 3.5 x 8.5 x 15 = 44.625 inches³.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

#SPJ1

4 0
2 years ago
Which one is not equal
densk [106]

Answer:

A

Step-by-step explanation:

hope this helps i took the test

4 0
3 years ago
the birth rate in a certain country in 1994 was 14,6 birthd per thousand population. in 2004 the birth rate was 14.32 per thousa
amm1812

Answer:

y(x)=-0.028x+14.6

Step-by-step explanation:

Birth Rate in 1994 =  14.6 births per thousand population.

Birth Rate in 2004 =  14.32 births per thousand population.

A linear equation is of the form: y=mx+c

Where:

  • x=years after 1994
  • y=the birth rate
  • m=Yearly Birth Rate

First, we determine the birth rate per year

m=\dfrac{14.32-14.6}{10-0}\\=\dfrac{-0.28}{10}\\m=-0.028

Therefore, a linear equation that relates y in terms of x is of the form:

y(x)=-0.028x+c

When x=0, y=14.6

14.6=-0.028(0)+c

c=14.6

Therefore, the linear equation that relates y in terms of x is:

y(x)=-0.028x+14.6

4 0
3 years ago
Sonia has three bracelets. she wears them all at the same time but in a diffrient order each day how many diffrent bracelet comb
LenaWriter [7]
There are 3 bracelets.
The first bracelet can occupy a position in 3 ways.
The second bracelet can occupy the remaining 2 positions in 2 ways.
The third bracelet can occupy the remaining position in 1 way.
The total number combinations is
3*2*1 = 6

Answer: 6
3 0
3 years ago
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