1.1.4 Practice: Scale Drawings

Practice

Math 7 Sem 2

Points Possible:5

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Read the assignment carefully and make sure you answer each part of the question or questions.
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Your Assignment

Jason and Adam are using a kit to build their own electronics board for a computer project. They use a scale drawing included in the instructions to help build the board.

Jason will use the scale factor to find the board's actual length and width, then multiply those dimensions to find the board's area.

Adam says he knows another way.


Answer the questions to show how Adam could find the area of the scale drawing, and then use this strategy to find the area of the electronics board.

1. What is the area of the board shown on the scale drawing? Explain how you found the area.


Write your answer in the space below.















2. How can Adam use the scale factor to find the area of the actual electronics board? Remember, he uses a different method than Jason.


Write your answer in the space below.















3. What is the area of the actual electronics board?


Write your answer in the space below.

Answer:

Step 1 16+24-18

Step 2) 22

Step-by-step explanation:

Answer:

4 divided by 8464 equals 0.00047258979

8464 divided by 4 equals 2,226

Step-by-step explanation:

                May I have brainiest I'm trying to level up!

                                  </3 PureBeauty

Answer:

two

Step-by-step explanation:

Answer:

Because we want to know how many three-fourths there are, we have to make groups of 3 fourths, or divide the number of fourths we have by 3. So there are (2\times 4)\div 3 = 8\div 3 = 2 \frac23 three-fourths in 2.

Step-by-step explanation:

Answer:

1 is the answer as 0.5 +0.5=1

haha help me be brainiest

Answer:

0.5+0.5=1

hahaha

it's so easy

Answer:

4 2/15

Step-by-step explanation:

4 x 9 = 36 3 x 5 = 15 5 x 9 = 45

36/45 + 15/45 = 51/45 = 1 6/45

1 + 2 + 1 = 4 + 6/45 = 4 6/45= 4 2/15.

Answer:

Because 8x6 gives you the same figure.

Step-by-step explanation:

Answer:

its 1/3

Step-by-step explanation:

please mark it as brainliest!!<3

Answer:

We conclude that the common difference of the Arithmetic sequence is: 1/3  

Step-by-step explanation:

Given the Arithmetic sequence

1/2, 5/6, 7/6, 3/2, 11/6

We know that an Arithmetic sequence has a constant common difference.

Let us compute the common difference 'd' of all the adjacent terms

[tex]\frac{5}{6}-\frac{1}{2}=\frac{1}{3},\:\quad \frac{7}{6}-\frac{5}{6}=\frac{1}{3},\:\quad \frac{3}{2}-\frac{7}{6}=\frac{1}{3},\:\quad \frac{11}{6}-\frac{3}{2}=\frac{1}{3}[/tex]

The difference between all the adjacent terms is the same and equal

Therefore,

[tex]d=\frac{1}{3}[/tex]

Hence, we conclude that the common difference of the Arithmetic sequence is: 1/3  

Answer:

1 hour

Step-by-step explanation:

300/6= 50

in one hour he drives 50 miles

so the answer is 1 hour

Answer:

If I'm doing this right its 6 ways

Step-by-step explanation:

yrg, rgy, gyr, ygr, gry, ryg

I hoped this helped

Answer:

88°

Step-by-step explanation:

Connect A to O, you'll have 2 same right triangles and angle COB is going to be split in half.

Answer:

88

Step-by-step explanation:

Answer:

they are perpindicular because they intersect at a right angle

Step-by-step explanation:

Answer:

The lines y=−4 and x=−1 are perpendicular.

Step-by-step explanation:

Given the lines

y=−4

x=−1

The equation y = -4 indicates that the line is horizontal because the value of y remains constant no matter what the value of x is. We also know that the slope of a horizontal line is zero.

In other words, there is no change in y-value i.e. (y₂-y₁) = 0.

Thus, the slope of the horizontal line y = -4 is zero.

Therefore, the slope of y = -4 is: m₁ = 0

The equation x = -1 indicates that the line is vertical because the value of x remains constant no matter what the value of y is. We also know that the slope of a vertical line is undefined or ∞.

In other words, there is no change in x-value i.e. (x₂-x₁) = 0.

Thus, the slope of the vertical line x = -1 is zero.

Therefore, the slope of x = -1 is: m₂ = ∞.

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

As the slope of line y = -4 is: m₁ = 0

Thus, the slope of the the new perpendicular line = m₂ = – 1/m = -1/0 = ∞

Therefore, the lines y=−4 and x=−1 are perpendicular.

ALSO:

From the attached graph, it is clear that:

It is clear that both lines are perpendicular as they are meeting at a right angle.

Therefore, the lines y=−4 and x=−1 are perpendicular.

Answer:

The chart has the steepestt slope

Step-by-step explanation:

The graph has a slope of -3 since it is falling

ANd the table gets you a slope of 1

1>-3

So the table/chart has the steeper slop

Answer:

3, 9, 4, 16, 5, 25, 6, 36, 7

Answer:

0.18 ; 0.1875 ; No

Step-by-step explanation:

Let:

Person making the order = P

Other person = O

Gift wrapping = w

P(p) = 0.7 ; P(O) = 0.3 ; p(w|O) = 0.60 ; P(w|P) = 0.10

What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?

Using the relation :

P(W|O) = P(WnO) / P(O)

P(WnO) = P(W|O) * P(O)

P(WnO) = 0.60 * 0.3 = 0.18

b. What is the probability that a randomly selected order will be gift wrapped?

P(W) = P(W|O) * P(O) + P(W|P) * P(P)

P(W) = (0.60 * 0.3) + (0.1 * 0.7)

P(W) = 0.18 + 0.07

P(W) = 0.1875

c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically

No.

For independent events the occurrence of A does not impact the occurrence if the other.

Answer:

C: (-4,3)

Step-by-step explanation:

2x+x+7=-5

3x+7=-5

3x=-12

x=-4

y=-4+7

y=3

(-4,3)

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

Since the two triangles are similar, write the following proportion:

[tex]\frac{24}{16}=\frac{15}{2x-6}[/tex]

Cross-multiply and solve:

[tex]24(2x-6)=16\cdot 15,\\48x-144=240,\\48x=384,\\\fbox{$x=8$}[/tex].

Answer:

These two corners are [tex]\sqrt{13}[/tex] units apart.

Step-by-step explanation:

Distance between two points:

Suppose we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Approximately how far apart are the two corners?

We have to find the distance between the points (-5,-2) and (-8-3). So

[tex]D = \sqrt{(5-(-8))^2+(-2-(-3))^2} = \sqrt{13}[/tex]

These two corners are [tex]\sqrt{13}[/tex] units apart.

Answer:

She should multiply her current balance by 1.052.

Step-by-step explanation:

Her investment is an account with a simple interest of 5.2% per year.

So in one year, she will have 100% + 5.2% = 105.2% of her initial amount. To find the multiplier, we divide by 100%. So

105.2%/100% = 1.052

She should multiply her current balance by 1.052.

Answer:

c

Step-by-step explanation:

Answer:

Let A be a 3 X 4 matrix. If

b = a1 + a2 + a3 + a4

then what can you conclude about the number of solutions of the linear system Ax=b?

Explain.

The system has infinitely many solutions

Step-by-step explanation:

Since b= a1 + a2 + a3+ a4 if it follows that x= (1,1,1,1)^T is a solution to the equation Ax = b.

Since the matrix contains 3 rows there can be 3 nonzero rows and consequently

3 lead variables at most after we compute the row echelon form of the matrix

At least of the variables is free variables is free variable.

The system has infinitely many solutions

Answer:

2

Step-by-step explanation:

You don't measure cereal in the others because feet, meters and millimeters are too big. Hope this helps.

Answer:

[tex]11.1\: \mathrm{g}[/tex]

Step-by-step explanation:

Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are [tex]18\cdot 0.2=3.6[/tex] grams of sugar in her syrup.

John's mixture of 30 grams has a 25% sugar content. Therefore, there are [tex]30\cdot 0.25=7.5[/tex] grams of sugar in her syrup.

Therefore, if they mix their syrups together, there will be [tex]3.6+7.5=\fbox{11.1}[/tex]grams of sugar.

Answer:

I need this answer ASAP

Step-by-step explanation:

Answer:

At least 11 shelves are needed for all the juice boxes.

Step-by-step explanation:

Given that:

Boxes of orange juice = 32

Boxes of apple juice = 56

Total boxes = 32+56 = 88

As one shelf can hold 8 boxes of juice.

Number of shelves = [tex]\frac{88}{8}[/tex]

Number of shelves = 11

Hence,

At least 11 shelves are needed for all the juice boxes.

Answer:

a. 0.99995 = 99.995% probability that one of the two parachutes deploys

b.0.04995 = 4.995% probability that the backup parachutes deploys

Step-by-step explanation:

a. What is the probability that one of the two parachutes deploys?

Either the first deploys(with probability 95%), or the first does not deploy(probability 5%) and the second does(probability 99.9%). So

[tex]p = 0.95 + 0.05*0.999 = 0.99995[/tex]

0.99995 = 99.995% probability that one of the two parachutes deploys

b. What is the probability that the backup parachutes deploys?

The first does not deploy(probability 5%) and the second does(probability 99.9%). So

[tex]p = 0.05*0.999 = 0.04995[/tex]

0.04995 = 4.995% probability that the backup parachutes deploys

sorry i don't know

sorry

sorry

Answer: y= 5x + 3

Step-by-step explanation:

Lol literally so easy when you understand it so:

the formula for slope intercept form is:

y= mx + b

in this case just plug in the values

hope this helps ;)

also can I get brainliest pls?

Step-by-step explanation:

diameter is 8•5

radius is d/2

8•5/2

=4•25

surface area = 4πr^2

4×22/7×4•25×4•25

=1589•5/7

=227•1

Volume= 4/3πr^3

4/3×22/7×4•25×4•25×4•25

4/3×22/7×76•76

=321•7

Hope it helps

plz mark as brainliest

Answer:

62.06%

Step-by-step explanation:

Given that,

CP of an electronic unit = $580

SP of an electronic unit = $940

We need to find the percent markup in the price of each unit. It can be done as follows :

[tex]\%=\dfrac{940-580}{580}\times 100\\\\=62.06\%[/tex]

So, the required answer is 62.06%.