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3 years ago

9

Karl is putting a frame around a rectangular photograph. The photograph is 12 inches long and 10 inches wide, and the frame is t

he same width all the way around. What will be the area of the framed photograph?

1 answer:

Gnesinka [82]3 years ago

4 0

Answer:Area=Length x breadth
Area=12 x10 = 120in^2

Step-by-step explanation:

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What value, entered in the blank below, would make the two expressions equivalent? Expres

malfutka [58]

Answer:

The value is -3

Step-by-step explanation:

Here in this question, we are interested in making the expressions on both sides of the equation equal. But we seek a particular value or number which when placed in front of the quadratic expression on the right hand side makes the equations equal.

To get this done with, we will need to factorize the expression on the left hand side of the equation.

Thus, we can write;

-27x^2 + 9x + 12 as 3(-9x^2 + 3x + 4)

What do we notice? we can see that the now factored quadratic expression resembles what we have on the right hand side asides there fact that we are not there yet in terms of sign.

Thus, we can finally write ;

-27x^2 + 9x + 12 as -3(9x^2 -3x -4)

This exactly gives the expression on the right hand side

Thus the value to place in the blank is -3

5 0

3 years ago

The diagram below shows a square inside a regular octagon. The apothem of the octagon is 15.69 units. To the nearest square unit

Musya8 [376]

Answer:

C. 647 square units

Step-by-step explanation:

To find the shaded area, subtract the area of the unshaded square from the area of the octagon.

<u>Area of the octagon</u>

$\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}$

where:

n = number of sides
l = length of one side
a = apothem

Given:

n = 8
l = 13
a = 15.69

Substitute the given values into the formula and solve for A:

$\implies \textsf{Area}=\sf \dfrac{8 \cdot 13 \cdot 15.69}{2}$

$\implies \textsf{Area}=\sf \dfrac{1631.76}{2}$

$\implies \textsf{Area}=\sf 815.88\:\:square \:units$

<u>Area of the square</u>

$\implies \textsf{Area}=\sf 13^2=169 \:\:square \:units$

<u>Area of the shaded region</u>

= area of the octagon - area of the square

= 815.88 - 169

= 646.88

= 647 square units (nearest square unit)

3 0

2 years ago

Read 2 more answers

Out of 500 people in a room, 200 of them are wearing red shirts. Of the people wearing red shirts, 15% are wearing red pants. Wh

liberstina [14]

Number of people wearing red pants
= 200/100 x 15
= 30

Those who wear both red shirts and red pants is 30.

Therefore the percentage is
= 30/500 x 100%
= 6%

4 0

2 years ago

Solve the right triangle. Find all the missing angles and sides. Round to the nearest tenth.

forsale [732]

Answer:

1.

by using Pythagoras theorem

h²=p²+b²

h²=12²+40²

h=√1744

AB=42

2.

x+48°+90°=180°{sum of interior angle of triangle}

x=180°-138°

x=42°

5 0

3 years ago

Plot three points that solve the equation -x-2y=-10

Neko [114]

Answer:

See the attachment for a plot

Step-by-step explanation:

I find it convenient to plot lines using their x- and y-intercepts, when those are integers. To find the intercepts, we can divide the equation by the constant on the right:

x/10 +y/5 = 1

This is "intercept form". The denominator in each term is the corresponding intercept:

the x-intercept is 10, point (10, 0)

the y-intercept is 5, point (0, 5)

We can choose another value of y to find a third solution. Let y=2. Then we have ...

-x -2(2) = -10 . . . . . put 2 for y in the original equation

-x = -6 . . . . . . . . . . add 4

x = 6 . . . . . . . . . . . . multiply by -1

A third point is (6, 2)

5 0

3 years ago