Find the measure of the missing angle in this triangle.

Answer:

a) 441 gallons

b) -243 fish

Step-by-step explanation:

For a), multiply the 7 gallons of water by the 63 minutes to get 441 total gallons of water added

For b), multiply the 27 fish by 9 days to find the total decrease in fish, which is -243 fish.

Hopefully this helps - let me know if you have any questions!

Answer:

16 to 20

Step-by-step explanation:

Let's do our math.

4 to 5

8 to 10

12 to 15

16 to 20

In order to get to 20, you'd have to multiply 5 by 4. So in order to get an equal ratio, you multiply 4 by 4 and get 16.

I hope this helps!

-No one

Answer:

j

Step-by-step explanation:

Explanation:

Draw 6 identical rectangles side by side as shown in figure 1 in the diagram below. Shade one of the rectangles to represent 1/6 of the cake left over.

Now draw in horizontal lines (see figure 2) to split the leftover amount into 7 equal portions. Notice that we have a 7 by 6 grid of tiny rectangles. There are 7*6 = 42 tiny rectangles in total.

Each person will therefore get 1/42 of the original cake when splitting up this last leftover slice.

Answer:

6 in.

Step-by-step explanation:

5 inches is the width. Length is 6 in.

An equation is formed of two equal expressions. The solution of the equation is w=3.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

In order to solve the equation, we need to isolate the variable in the following manner, therefore, the solution of the equation can be written as,

[tex]6.2w=18.6[/tex]

Divide both sides of the equation by 6.2,

[tex]6.2w=18.6\\\\\dfrac{6.2w}{6.2}=\dfrac{18.6}{6.2}\\\\w = 3[/tex]

Hence, the solution of the equation is w=3.

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Answer:

an = -3 · an - 1 where a1 = -1.

Step-by-step explanation:

The first term a1 = -1 and the common ratio is -3 so ecah term is formed form the previous one by multiplying by -3.

Answer:

$90

Step-by-step explanation:

12 * 4 = 48

48 + (12*3.5) = 90

answer is $90

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: log(2x - 3) = - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x - 3 = {10}^{ - 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = 0.1 + 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 3.1 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 1.55[/tex]

Answer:

189 is the LCM of 27 and 21

Answer:

The heat from the sun or heat released from the filament of a light bulb is the example of radiation.

The parameters for computing the area of triangle is first listed out and the expression for the area of triangle was used to find the algebraic method

Parameters for find the area of triangle are

Let the base be x, and let the height be y

We know that the expression for the area of triangle is given as

Area = 1/2 (Bass* Height)

Substituting our parameters we have

Area = 1/2*x*y

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Answer:

the answer is A

Step-by-step explanation:

If Eugene is at a cash-only restaurant he must withdraw cash out of his bank account (linked to debit card.)

The decimal value 8.34 written as a ratio of a/b is 417/50

Fractions are values written as a ratio of two integers

Given the decimal value 8.34, we are to convert it to a decimal value as shown:

8.34 = 834/100

834/100 = 417/50

Hence the decimal value 8.34 written as a ratio of a/b is 417/50

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Answer:

total no. of butterflies=11000

no.of butterflies=679

percentage of butterflies=?

Percentage of butterflies= (11000/679) percent..

= 16.20 percentage

therefore 16.20 percentage butterflies are in US

Answer:

At both 0.78 and 1.3 seconds, to the nearest hundredth, the ball will be at 20 feet.  

Step-by-step explanation:

We can use two approaches to finding the answer:  Calculation and Graphing.

Calculation:

Set h to 20 feet and solve the equation using the quadratic formula.

h= 4 + 33t - 16t^2

20= 4 + 33t - 16t^2

- 16t^2 + 33t + 4 = 20

- 16t^2 + 33t + -16 = 0

Solve using the quadratic formula.  I find solutions of 0.779 and 1.28 seconds.

Graphing:

See the attached graph.

The ball is at 20 feet at 0.783 seconds on the way up and 1.28 seconds on the way back down.

===

Both approaches agree:  0.78 and 1.3 seconds, to the nearest hundredth, the ball will be at 20 feet.  

The probability that a point is chosen at random in the square is in the blue region is 0.8.

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

As we know that the area of the shaded region is the sum of the area of triangle A and the area of triangle B. Therefore, the area of the blue shaded region is,

[tex]\text{Area of shaded region} = (\dfrac{1}{2} \times 8 \times 8) + (\dfrac{1}{2} \times 4 \times 8)[/tex]

                                  [tex]= (32) + (16)\\\\= 48\rm\ in^2[/tex]

The area of the square can be written as,

[tex]\text{Area of Square} = \rm(Side)^2 = 8^2 = 64\ in^2[/tex]

Now, the probability that a point is chosen at random in the square is in the blue region can be written as,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm Probability = \dfrac{\text{Area of blue region}}{\text{Area of square}}\\\\Probability = \dfrac{48}{60} = 0.8[/tex]

Hence, the probability that a point is chosen at random in the square is in the blue region is 0.8.

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where u(n) is the nth term (any term).

u⁰ is out first term (2)

d is the common difference (5)

[tex]s = 9.5(94)[/tex]

[tex]s = 893[/tex]

Answer:

9

Step-by-step explanation:

5% of 180 = 5/100 x 180

=> 5/10 x 18

=> 90/10

=> 9

Answer:

9

Step-by-step explanation:

5% of 180 = 5/100 of 180

10% = 18 ----->  5% = 9

180 = ?/1000 ------->  180 = 18000 / 100    =  180

5% of 180 = 9

Answer:

$531.83

Step-by-step explanation:

88*4=352

75+120+85+140=420. Take away the 200 he was allowed. Leaves 220

220*.20 =44

18.50*4=74

gas is set at 61.83

Sum each of those.

352+44+74+61.83= $531.83

Answer: A)  4,800 m2

60.11m x 79.88= 4801.5868

Answer:

A. 4,800 m²

Step-by-step explanation:

Given :

=> width of wall is 60.11 meters.

=> height of wall is 79.88 meters.

The area of the wall is = length × breadth

=> 60.11×79.88

=> 4,801.5868m²

Approx. 4,800

Answer:

(x-2)^2 +  (y+1)^2 = 3

Step-by-step explanation:

That is the standard equation for a circle given h,k center and r

Answer:

radian

Step-by-step explanation:

A radian is a unit of angle that is equal to the angle created at the center of a circle whose arc is equal in length to the radius.

The measure of an angle at the center is 1 radian.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

Radius is equal to arc length.

To find the measure of the angle at the center:

We have the formula,

Angle in radian = arc length / radius

Let a be the arc length,

then a be the radius.

Substituting the values,

Angle in radian = a/a

Angle in radian = 1 radian

Therefore, 1 is the measure of an angle at the center.

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Answer:

2.3 miles

Step-by-step explanation:

Given by the circular pattern as shown in the diagram:

Ranger station to Nature Center = 90°

Nature center to petting zoo= 40°

Petting zoo to Tennis court =120°

Tennis court to Pool = 65°

Pool to Ranger station= 45°

The radius of the circular pattern = 1 mile

Formula:

Arc length = 2πr angle / 360° where r is radius and π=3.14

Solution:

Thus,

Arc length = 2×3.14×1×90°/360°

Arc length=2×3.14×1×1/4 =1.57 miles

Distance from Nature Center to Petting Zoo

Arc length= 2×3.14×1×40°/360°

Arc length= 2×3.14×1×1/9 = 0.70 miles

Total =1.57+0.70 =2.27 miles

Answer to the nearest tenth = 2.3 miles

For more information:

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~lenvy~

Step-by-step explanation:

answer is shown above, that is a tricky question though.

[tex]\quad\qquad\qquad\huge\underline{\boxed{\sf Aηswer☂ }}[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{8} - \sqrt{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: ( \sqrt{2 \times 2 \times 2} )- \sqrt{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2\sqrt{ 2} - \sqrt{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ 2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt[3]{24} - \sqrt[3]{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: (\sqrt[3]{2 \times 2 \times 2 \times 3}) - \sqrt[3]{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2\sqrt[3]{3} - \sqrt[3]{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt[3]{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt[]{125} - \sqrt{45} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt[]{5 \times 5 \times 5} - \sqrt{3 \times 3 \times 5} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 5 \: \sqrt[]{5 } - 3\sqrt{ 5} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2 \: \sqrt[]{5 } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \: \sqrt[5]{96 } - \sqrt[5]{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \: \sqrt[5]{2 {}^{5} \times 3} - \sqrt[5]{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \: 2\sqrt[5]{3} - \sqrt[5]{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \: \sqrt[5]{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \: \sqrt[]{75} - \sqrt{27} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \: \sqrt[]{3 \times 5 \times 5} - \sqrt{3 \times 3 \times3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 5 \sqrt{3} - 3 \sqrt{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2 \sqrt{3} [/tex]

Answer:

length = 44 ft.

Step-by-step explanation:

A = lw

[tex]880 = 20l\\[/tex]

Solving for l gives us l = 44 ft.

Answer:

80cm

Step-by-step explanation:

The area of the rectangle is given by Area = L*W  (length, L and width, W).

175 cm^2 = 5*L

L = 35 cm

Perimeter is 2L + 2W

2(35cm)+2(5cm)

70cm + 10cm

Perimeter = 80cm