Activity 1.
Direction. Using the diagram below, form ratios. Express them in lowest term to
To form a proportion

The true statement about the side lengths of quadrilateral MNOP is (d) MP = OP = 11.25 cm because the scale factor for dilating quadrilateral EFGH is 1.25.

The side lengths of EFGH are given as:

[tex]EF = 12\ cm[/tex]

[tex]FG = 6\ cm[/tex]

[tex]GH = 9\ cm[/tex]

[tex]EH = 9\ cm[/tex]

Length NO is also given as:

[tex]NO = 7.5\ cm[/tex]

Because both quadrilaterals are similar, then side NO corresponds to side FG.

The scale factor (k) from EFGH to MNOP is then calculated as:

[tex]k = \frac{NO}{FG}[/tex]

[tex]k = \frac{7.5}{6}[/tex]

[tex]k = 1.25[/tex]

The side lengths of MNOP are then calculated using:

[tex]MN = 12cm \times 1.25[/tex]

[tex]MN = 15\ cm[/tex]

[tex]OP = 9cm \times 1.25[/tex]

[tex]O P = 11. 25 cm[/tex]

Also,

[tex]MP = 11. 25 cm[/tex]

So, the true statement is (d)

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this answer is 9% it is bigger than 0.5

Using proportions, it is found that:

In this question, 42 out of 75 customers voted for the cheddar flavor, hence:

[tex]p = \frac{42}{75}[/tex]

That is, the fraction that shows the proportion of customers who voted for cheddar flavor is [tex]\frac{42}{75}[/tex]

The percentage is:

[tex]\frac{42}{75} \times 100\% = 56\%[/tex]

56% of customers voted for cheddar flavor.

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Answer:

answer to your question is: a = 3, b = 1, c = -2

Answer:

Today, Carmen out surfing for 8 hours

Step-by-step explanation:

160/100 × 5 = 8

The mean price goes between $ 41.16 and $ 42.84, so a value of $ 48 is unusually high.

Since the average price of an item is $ 42 with a standard deviation of $ 3, to find a 98% confidence interval about the mean, and determine if a value of X = 48 is unusually high or if it is normal, the following calculations should be done:

Therefore, as the mean price goes between $ 41.16 and $ 42.84, a value of $ 48 is unusually high.

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Answer:

5000

Step-by-step explanation:

Answer:

answer -909 photo with solution is attached

Answer:

£55

Step-by-step explanation:

50% is just another way to say 1/2. This means that 1/2 of £110 is £55.

Answer:

Domain:(−∞,∞),{x|x∈R}

Range:(−∞,∞),{y|y∈R}

Answer:

2x - 19 + x + 4

Step-by-step explanation:

2x - 19 + x + 4

Answer: bro I don’t if this is correct but try 11+3i

Answer:

1188 grams of water

Step-by-step explanation:

x is the grams of water

so total is 12+x grams

sugar/total is 12/12+x

and 1% ratio is 12/12+x=1/100

so x would be 1188 grams of water.

Answer:

1188

Step-by-step explanation:

Start with the part and whole proportion

[tex]\frac{12}{?} =\frac{1}{100}[/tex]

multiply the one by 12 and 100 by 12

[tex]\frac{12}{1200} =\frac{1}{100}[/tex]

now subtract 12 from 1200

then you get 1188.

I hope this helps :))

Answer:

yes the gym charged Sandra the correct price

Answer:

A. 52%

B. 36%

C. 16%

D. 4%

Step-by-step explanation:

13/25 people have freckles.

9/25 people have Blonde or red hair.

4/25 people have freckles and brown hair.

1/25 people have freckles and red hair.

Divide the fractions to get the percentages.

The probabilities are A. 52%, B. 56%, C. 16% and D. 4%

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, Alan collects data about the students in his class. he records their hair colour and whether they have freckles,

P(E) = (Number of favourable outcomes) ÷ (Sample space).

There are total 25 students in data,

A) Students having freckles = 13

P(freckles) = 13/25% = 52%

B) Students having blonde or red hair = 14

P(blonde hair or red hair) = 14/25% = 56%

C) Students having freckles and brown hair = 4

P(freckles and brown hair) = 4/25% = 16%

D) Students with no freckles and red hair = 1

P(no freckles and red hair) = 4/25% = 4%

Hence, a. P(freckles) = 52%

b. P(blonde hair or red hair) = 56%

c. P(freckles and brown hair) = 16%

d. P(no freckles | red hair) = 4%

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Answer:

6.78

Step-by-step explanation:

Answer:

6.78 pounds

Step-by-step explanation:

Add: 3.18+1.35+2.25=6.78

(If you wanted the cost for the whole thing then you need to include the price for each of the pounds)

Answer:

Step-by-step explanation:

would help a lot if you show the picture or describe it very well.

Answer:

Step-by-step explanation:

Answer:

616cm³

Step-by-step explanation:

you just need to multiply those numbers

7 x 8 x 11= 616

[tex]\text{Perimeter of the triangle,}\\\\ 2s = 7 + 8 +11 =26}\\\\\\\implies s = \dfrac{26}2 = 13\\\\\\\text{Apply Heron's formula to find the area of the triangle,}\\\\A = \sqrt{s(s-8)(s-7)(s-11)}\\\\\implies A = \sqrt{13(13-8)(13-7)(13-11)}\\\\\implies A = \sqrt{780} \\\\\implies A = 27.93~~ \text{cm}^2[/tex]

Answer:

A it should be if not sorry :(  

Good Luck :)

Step-by-step explanation:

I Think Operation A is write

Answer:

  -3+ √3 or -3- √3

Step-by-step explanation:

I LOVE OUR SWEET MATCHLESS CHRIST JESUS!

The expression which best represents the volume of the can in discuss as evaluated from the formula; V = π r² h and as required is; 6.75π.

It follows from the task content that the volume of the can whose radius is; 1.5 inches and height is; 3 inches is to be determined.

It is noteworthy to know that the volume of a can often the shape of a cylinder is given by the formula;

Volume, V = π r² h.

where, radius, r = 1.5 in.

height, h = 3 in.

Therefore, we have that the volume of the can can be evaluated as;

Volume, V = π × ( 1.5 )² × 3

Volume, V = 6.75 π.

On this note, the best representation of the volume of a can having dimensions as described is; 6.75π.

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Using a system of equations, it is found that since the solution of the system does not involve decimal numbers, it is possible to arrange the books in this way.

For the system, we consider that:

In total, there are 152 books, hence:

[tex]x + y + z = 152[/tex]

The first shelf has 7 fewer books than the second shelf, hence:

[tex]x = y - 7[/tex]

Also, it has 11 more books than the third shelf, hence:

[tex]x = z + 11[/tex]

Then:

[tex]y - 7 = z + 11[/tex]

[tex]z = y - 18[/tex]

Then, replacing in the first equation:

[tex]x + y + z = 152[/tex]

[tex]y - 7 + y + y - 18 = 152[/tex]

[tex]3y = 177[/tex]

[tex]y = \frac{177}{3}[/tex]

[tex]y = 59[/tex]

The number of books in each shelf has to be countable, that is, cannot be decimal.

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(-3x³+2x²+4x+24) (x-2)

---------------------------------

8x

Answer:

f(g(2)) = 29

Step-by-step explanation:

First of all we write the new function defined as the composite function of f and g: f(g(x)) = 3(5x+1) - 2 = 15x + 3 - 2 = 15x -1

Now we can simply "plug in" 2 instead of the x in the function we just obtained: f(g(2)) = 15*2 - 1 = 29