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3 years ago

15

Question in photo 1, answer choices in photo 2. thanks.

1 answer:

Zinaida [17]3 years ago

5 0

The correct answer for the question shown in the figure attached is the third option, which is shown below:
BC/YZ=6/3
You have that, by the SSS similarity theorem, two triangles are similar if they have corresponding sides with equal ratios, this means the following:
AB/XY=BC/YZ=AC/XZ
4/2=6/3=√52/√13
2=2=2

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Marco created a table to help him represent the sample space of spinning a spinner and flipping a coin. Result of spin Result of

Svetradugi [14.3K]

The probability that the result is green - tail is 1/6.

Spinner has three colors that are red, green and yellow and coin has two sides that are head or tail.

<h3>What is the formula for probability?</h3>

Divide the number of events by the number of possible outcomes

The sample space is, ${(red - head; red - tail; green - head; green - tail; yellow - head; yellow - tail)}$ In total there are 6 ways to combine different colors with coin sides.

Therefore ,the probability that the result is green - tail is 1/6.

To learn more about the probability visit:

brainly.com/question/25870256

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2 years ago

Need help with question 15

ad-work [718]

Answer:

68 degrees

Step-by-step explanation:

triangle = 180 degrees

<BFD = 180 - 90 - 22 = 68 degrees

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3 years ago

A worker is handling the four of a rectangle room that is 12 feet by 15 feet.The tiles are square with side lengths 1 1/3 feet.

Anon25 [30]

Answer:

Step-by-step explanation:

The measure of the floor of the rectangular room that is 12 feet by 15 feet. The formula for determining the area of a rectangle is expressed as

Area = length × width

Area of the rectangular room would be

12 × 15 = 180 feet²

The tiles are square with side lengths 1 1/3 feet. Converting 1 1/3 feet to improper fraction, it becomes 4/3 feet

Area if each tile is

4/3 × 4/3 = 16/9 ft²

The number of tiles needed to cover the entire floor is

180/(16/9) = 180 × 9/16

= 101.25

102 tiles would be needed because the tiles must be whole numbers.

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2 years ago

Which of the following is not a kind of consumer credit? a. installment credit b. personal loans c. service credit d. marginal c

Nat2105 [25]

A) installment credit
B ) personal loan
C) service credit
D) marginal credit

7 0

3 years ago

Read 2 more answers

A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the

kramer

Answer:

$18.73ft^3$

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top= $(side)^2=x^2$

Area of one side face= $l\times b=xy$

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box= $V=lbh=x^2y$

Total cost= $9(x^2)+5x^2+4(4xy)=14x^2+16xy$

$204=14x^2+16xy$

$204-14x^2=16xy$

$y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}$

Substitute the values of y

$V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)$

Differentiate w.r.t x

$V'(x)=\frac{1}{8}(102-21x^2)=0$

$V'(x)=0$

$\frac{1}{8}(102-21x^2)=0$

$102-21x^2=0$

$102=21x^2$

$x^2=\frac{102}{21}=4.85$

$x=\sqrt{4.85}=2.2$

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

$V''(x)=\frac{1}{8}(-42x)$

Substitute the value

$V''(2.2)=-\frac{42}{8}(2.2)=-11.55$

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value of x

$y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft$

Greatest volume of box= $x^2y=(2.2)^2\times 3.87=18.73 ft^3$

5 0

3 years ago