The perimeter of the triangle is 9.2 cm. Write an equation and find the missing side.

Answer: The volume of the aquarium = 790 cubic meters

Step-by-step explanation:

Volume of rectangular prism = length x width x height

Given: An aquarium is in the shape of a right rectangular prism that is 22.9m long, 7.5m wide and 4.6m high.

Volume = [tex]22.9\times7.5\times4.6[/tex]

i.e. Volume = 790.05 cubic meters

i.e. Volume ≈ 790 cubic meters  (rounded to the nearest cubic meter)

Hence, the volume of the aquarium = 790 cubic meters (approx)

Answer:

1/2 or 0.5 is the correct answer of this question

Answer:

I think H=5g-2f÷3 ( I'm not sure at all sorry )

Answer:

Step-by-step explanation:

if 15 out of 60 markers are blue

the percentage is 15/60=1/4

0.25*100=25%

Answer:

55

Step-by-step explanation:

There are 11 tens in 110, so 11 times 5 is 55.

A) 3/4 ÷ 5 1/5.

Answer:

[tex] \frac{15}{104} [/tex]

B) 3/7 ÷ 2 1/2.

Answer:

[tex] \frac{6}{35} [/tex]

C) 5/8 ÷ 6 5/6.

Answer:

[tex] \frac{15}{164} [/tex]

D) 8 3/10 ÷ 5/8.

Answer:

[tex]13 \frac{7}{25} [/tex]

Answer:

last one (d)

Step-by-step explanation:

adding subtracting or dividing is not how you use a growth factor(what my school calls a percentage in a decimal form).

Answer:

B) 2 1/4

Step-by-step explanation:

Answer:

B.2 1/4

C.9/4

Step-by-step explanation:

2 1/4 is what shown

9/4=2 1/4

Answer:

C. 4,900 = m times 5,000

Step-by-step explanation:

Total books = 5,000

Fiction = 4,900

Calculations:

[tex]5,000. \frac{x}{100} =4,900[/tex]

[tex]\frac{x}{100} = \frac{4,900}{5,000}[/tex]

[tex]\frac{x}{100} =0.98[/tex]

[tex]x=98[/tex]

Now that we know x we can come up with the equation and can determine which one is correct. x = m = 98%

Therefore, 4,900 is 98% of 5,000.

So 5,000 x 98% = 4,900

And the equation that matches that is C.

it will take him 5 months

Find how much more he wants to bench:

300-200 = 100

He needs to increase by at least 100 pounds.

So 20 pounds per month has to be greater than 100 pounds.

20x > 100

Divide both sides by 20:

X > 5 months

Answer:

17

Step-by-step explanation:

Answer:

i hope my answer help you

Step-by-step explanation:

1st=8+4=12

2nd the answer is to the nearest 7.06

3rd =2+2³.7=2+13=15

4th=(36÷(4+5))+25=36÷9+25=4+25=29

5th=16÷16+8-3=1+8-3=9-3=6

6th=8-2.4=5.6

9.2

.......................

The length of arc is 9.1506 cm.

The length of an arc refers to the distance along the curve of a circle between two points on that curve. It is a measure of the portion of the circumference of a circle or any other curved shape.

The Formula for Length of Arc is θ/360 x 2πr.

We have,

Radius = 7.9 cm

Angle = 66.4 degree

Now, length of Arc

= θ/360 x 2πr

= 66.4 / 360 x 2 x 3.14 x 7.9

= 0.18444 x 2 x3.14 x 7.9

= 9.1506 cm

Thus, the length of arc is 9.1506 cm.

Learn more about Length of arc here:

https://brainly.com/question/31762064

#SPJ2

Given:

The figure of a polygon.

To find:

The area of the polygon.

Solution:

Area of a triangle is

[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]

Area of trapezoid is

[tex]Area=\dfrac{1}{2}(a+b)h[/tex]

Where, a, b are bases and h is the height.

The area of the triangle with base 6 cm and height 8 cm is

[tex]A_1=\dfrac{1}{2}\times 6\times 8[/tex]

[tex]A_1=24[/tex]

Height of the trapezoid is [tex]13-8=5\ \text{cm}[/tex] and the bases are 6 cm, 12 cm. So, the area of the trapezoid is

[tex]A_2=\dfrac{1}{2}(6+12)(5)[/tex]

[tex]A_2=\dfrac{1}{2}(18)(5)[/tex]

[tex]A_2=(9)(5)[/tex]

[tex]A_2=45[/tex]

Now, the total area of the polygon is

[tex]A=A_1+A_2[/tex]

[tex]A=24+45[/tex]

[tex]A=69[/tex]

Therefore, the area of the polygon is 69 sq. cm.

Answer:

937 feet

Step-by-step explanation:

tan32 = x/1500

0.625 = x/1500

0.625*1500 = 937.304

Answer:

m and n are both equal to 10

Step-by-step explanation:

Because we see that the two of the angles here are 45 and 90, we know then that the third angle is also 45.  This tells us that the sides m and n are of equal length.

With that in mind, we can simply use the Pythagorean theorem to find their values:

m² + n² = (10√2)²

given that m = n, then:

m² + m² = (10√2)²

2m² = (10√2)²

2m² = 100 × 2

2m² = 200

m² = 100

m = 10

So both m and n are equal to 10.

Answer:

base =5   because all angles=60, so an equilateral triangle

height=4.33

Step-by-step explanation:

height^2+1/2(5)^2=5^2

height^2+6.25=25

height^2=18.75

height=4.33

Answer:

x intercept = (0.3, 0)

y intercept = (0, 0.4)

Answer:

x: (0.3,0)

y: (0,0.4)

Answer:

the area of the parallelogram is 120 units

Answer:

The area will be:

[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].

Step-by-step explanation:

Using the definition of tangent, we have:

[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]

We know that tan(α) = 1, then we can find AB

[tex]1=\frac{6}{\vec{AB}}[/tex]

[tex]\bar{AB}=6\: u[/tex]

u means any unit.

Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:

[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]

[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]

[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]

[tex]\bar{BC}=6\sqrt{3} \: u[/tex]

So, the base of the triangle will be:

[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]

The area of a triangle is given by the following equation:

[tex]A=\frac{b*h}{2}[/tex]

[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]

[tex]A=18(1+\sqrt{3})[/tex]

Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].

I hope it helps you!

Answer:

3/7

Step-by-step explanation:

you are gonna add all the parts together which is seven and because three parts are blue chances are that it might stop at blue three times out of seven

Answer:

6 dozens

Step-by-step explanation:

Vanilla, v = x

Chocolate, c = 3x

Strawberry, s = 3 dozens = 36

Total cupcakes = 132

Hence,

x + 3x + 36 = 132

4x = 96

x = 96 / 4

x = 24

Chocolate = 3 * 24 = 72

Dozens of chocolate = 72 /12 = 6 dozens

Answer:

x=216°

Step-by-step explanation:

100%=360°

To find 10% divide by 10

10%=36°

x4

40%=144°

in a full circle thered 360°

360-144=216°

x=216°

Answer:

14. (-8, 12)   15. (6, 7)

Answer:

$0.88 per pound

Step-by-step explanation:

you want to divide the 3/4 pounds by 3, and when you do that, you also have to divide the 66 cents by 3 as well, then multiply the 1/4 you get from dividing 3/4 by 3, and multiply it by 4 to get 1 pound, but when you do that, you have to do the same thing with the 22 cents you get from dividing 66 cents by 3, which will give you 88 cents per pound