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Alinara [238K]
3 years ago
14

What is x and y if x+y=60 and y=x+3

Mathematics
1 answer:
astra-53 [7]3 years ago
5 0

Answer:

X=57/2, y=63/2

Step-by-step explanation:

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Nadia plans to paint her jewelry box. The box is shaped like a rectangular prism with the dimensions
Pachacha [2.7K]

Answer:

132\ in^{2} is closest to the total surface area of the box

Step-by-step explanation:

we know that

The surface area of the box is equal to

SA=2B+PH

where

B is the area of the base

P is the perimeter of the base

H is the height of the box

we have

L=7\frac{3}{4}\ in=\frac{7*4+3}{4}=\frac{31}{4}\ in

W=3\frac{1}{4}\ in=\frac{3*4+1}{4}=\frac{13}{4}\ in

H=3\frac{7}{8}\ in=\frac{3*8+7}{8}=\frac{31}{8}\ in

<em>Find the area of the base B</em>

B=LW

B=(\frac{31}{4})(\frac{13}{4})=\frac{403}{16}\ in^{2}

<em>Find the perimeter of the base P</em>

P=2(L+W)

P=2(\frac{31}{4}+\frac{13}{4}))

P=2(\frac{44}{4})=22\ in

<em>Find the surface area</em>

SA=2(\frac{403}{16})+22(\frac{31}{8})

SA=(\frac{403}{8})+(\frac{682}{8})

SA=\frac{1,085}{8}=135.625\ in^{2}

6 0
3 years ago
Using the diagram, find sin B. Express your answer as a decimal rounded to the nearest hundredth, such as .86 or 0.86.
inessss [21]
Hi, thank you for posting your question here at Brainly.

This problem could be solved using the Law of Cosines, since we are given with the three sides. The equation goes,

b^2 = a^2 + c^2 - 2accosB. Substituting,

24^2 = 7^2 + 25^2 - 2(7)(25)cosB

Then B = 73.7 degrees. Therefore sinB or sin(73.7) = 0.96.
4 0
3 years ago
The first three steps of completing the square to solve the quadratic equation x² + 4x - 6 = 0, are
slavikrds [6]

Answer:

The next 3 steps are

Step 4: (x+2)=\pm \sqrt{10}

Step 5: x=-2\pm \sqrt{10}

Step 6: x=-2+\sqrt{10}\ or\x=-2-\sqrt{10}

Step-by-step explanation:

Given:

Quadratic Equation is

x² + 4x - 6 = 0

To Find:

x = ?

Solution:

Step 1: x2 + 4x = 6

Step 2: x2 + 4x + 4 = 6 + 4

Step 3: (x + 2)2 = 10

Step 4: (x+2)=\pm \sqrt{10}

Step 5: x=-2\pm \sqrt{10}

Step 6: x=-2+\sqrt{10}\ or\x=-2-\sqrt{10}

8 0
3 years ago
Given: cos α = 4/5, sin β= 4/5, and α and β are both in quadrant 1. find sin (α+β)
mezya [45]
We have the formula (sin x)^2 + (cos x)^2 = 1;
Then, sin α = \sqrt{1-  ( \frac{4}{5}) ^{2} } =  \frac{3}{5} ;
cos β = \sqrt{1- ( \frac{4}{5}) ^{2} } = \frac{3}{5} ;
We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;
8 0
4 years ago
Identify the indicated parts of the figure below.
Dominik [7]

Answer:

The top one is a triangle which is the back part of the shape. The bottom left one is also a triangle and the bottom right one is a rectangle

5 0
3 years ago
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