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3 years ago

HELPPPP FASTTTTTT PLZZZ

Mathematics

1 answer:

Rainbow [258]3 years ago

6 0

The unknown length, x, in the smaller quadrilateral is 3 cm

Solution:

Given that,

The proportion can be solved to find the unknown length , x, in the smaller quadrilateral

Given proportion is:

$\frac{x}{1.5} = \frac{9}{4.5}$

We have to find the value of "x"

From given proportion,

$\frac{x}{1.5} = \frac{9}{4.5}$

Cross multiply the numerator of left side fraction with denominator of right side fraction

Multiply the numerator of right side fraction with denominator of left side fraction

Solve for x

$x \times 4.5 = 9 \times 1.5\\\\4.5x = 13.5\\\\x = \frac{13.5}{4.5}\\\\x = 3$

Thus unknown length, x, in the smaller quadrilateral is 3 cm

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4. What are the coefficients in the polynomial 7x² - 4x + 6? (1 poin

skad [1K]

Answer:

D.) 7 and -4

Step-by-step explanation:

Coefficients are numbers placed directly before a variable.

(7) is a coefficient because it is placed before x².

(-4) is a coefficient because it is placed before x. The negative is included.

(6) is not a coefficient because it is not altering any variable through multiplication/division.

5 0

2 years ago

Theo containers designed to hold water are side by side, both in the shape of a

OlgaM077 [116]

The percentage this empty space is of the entire volume is 26.12 % when rounded to the nearest tenth.

We have given that the shape of a

cylinder Container A has a diameter of 30 feet and a height of 18 feet.

diameter =30 feet and height =18 feet

Therefore

$radius=\frac{d}{2} \\\\radius=\frac{30}{2} \ \\\\radius=15$

What is the formula for volume of cylinder ?

$volume =\pi r^2h$

For cylinder A,

$volume =\pi r^2h$

$volume =\pi (15)^218\\ \\V=12723.45 ft^{3}$

Similarly for cylinder B,

h=19

radius

$\frac{26}{2} =13feet$

volume of cylinder B

$volume =\pi r^2h\\\\volume =\pi (13)^2(19)\\\\volume =10087.65 feet^3$

After pumping all of Cylinder A into Cylinder B there will remain empty space in B

$12723.45-10087.65=2635.8 feet^3$

The percentage this empty space is,

of the entire volume is

$\frac{2635.8}{10087.65} =0.261289$

which is 26.12 % when rounded to the nearest tenth.

Therefore,

The percentage this empty space is of the entire volume is 26.12 % when rounded to the nearest tenth.

To learn more about the volume of cylinder visit:

brainly.com/question/9554871

8 0

3 years ago

Jims fish bowl contains x tetras, 3 goldfish, and 5 platies. He removes one fish from the fish bowl at random. If the probabilit

My name is Ann [436]

Answer: x = 1

Step-by-step explanation:

we have

x tetras

3 goldfish

5 platies.

the total number of fishh in the bowl is x + 3 + 5

The probability of removing a gold fish is equal to the number of gold fish divided by the total number of fish, this is:

p = 3/(x + 3 + 5) = 1/3

3 = (1/3)(x + 3 + 5) = x/3 + 1 + 5/3

9 = x + 3 + 5

x = 9 - 8 = 1

then wemust have that x = 1

because 1 + 3 + 5 = 9

and 3/9 = 1/3

6 0

3 years ago

The perimeter of a rectangular painting is 352 centimeters. If the length of the painting is 98 centimeters, what is its width?

den301095 [7]

Thee formula for perimeter is P = 2L + 2W. We know the P is 352 and the L is 98, so fill in the formula accordingly: 352 = 2(98) + 2W and 156 = 2W so W = 78

4 0

3 years ago

The perimeter of a pool is 150 m. the rectangle at the right is a scale drawing of the pool. The length of each square on the gr

Anon25 [30]

Answer:

Step-by-step explanation:

From the given rectangle,

Length of the rectangle = 5 cm

Width of the rectangle = 10 cm

Ratio of length : width = 1 : 2

Perimeter of the rectangle = 2(l + b)= 150 cm

l + b = 75 -----(1)

Since, l : b = 1 : 2

$\frac{l}{b}= \frac{1}{2}$

b = 2l ------(2)

From equations (1) and (2),

l + 2l = 75

3l = 75

l = 25 m

Width 'b' = 2(25) = 50 m

Now we have to draw a rectangle with a scale = 25 : 2

Therefore, Scale factor = $\frac{25}{l}=\frac{25}{2}$

l = 2 cm

Similarly,

$\frac{50}{w}=\frac{25}{2}$

w = 4 cm

Now we can draw a rectangle with length = 2 cm and width = 4 cm.

5 0

3 years ago