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mr Goodwill [35]
3 years ago
8

Two angles are supplementary. One angle has a measure that is five less than four times the other. What is the measure of the la

rger angle?
a. 19 b. 71 c. 143 d. 148 e. 152
Mathematics
1 answer:
iren [92.7K]3 years ago
4 0

Answer:

The larger angle is 143

Step-by-step explanation:

x + y = 180 (This is the meaning of supplementary. Two angles make up 180 degrees)

4x - 5 = y

x + (4x - 5) = 180            Remove the brackets.

x + 4x - 5 = 180

5x - 5 =  180                  Add 5 to both sides

5x - 5 +5 = 180 + 5       Combine

5x = 185                        Divide by 5

5x/5=185/5

x = 37

y = 4*37 - 5

y = 148 - 5

y = 143

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Use properties of operations to find the quotient. -14 ÷ (-4.48)
matrenka [14]

Answer:

3.125

Step-by-step explanation:

-14÷(-4.48)

14÷(4.48)

divide that you will get 3.125

25/8, 3 1/8

is its alternative form.

7 0
3 years ago
18. What is the value of 4k + 6(j – 2) when k = 3<br> and j = 5?
Alexxx [7]

Answer:

30

Step-by-step explanation:

you plug in k with 3 and j with 5

4 times 3 + 6(5 – 2) = 30

6 0
2 years ago
This "hourglass" consists of two identical solid cones contained in a right cylinder. The cylinder is 12 cm tall and the circumf
ratelena [41]

Volume is a three-dimensional scalar quantity. The volume of the space between the cylinder and the two cones is 1184.43183 cm³.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the circumference of the base is 61 cm, therefore, the radius of the base will be,

Circumference = 61 cm

2πR = 61

R = 61/(2π) = 9.70845 cm

The volume of the cylinder(Outside shell) can be written as,

Volume = πR²×H

             = π× (9.70845)² ×12

             = 3553.29326 cm³

The volume of the two identical cones will be,

The volume of the cone = 2× (1/3) × π × R² × H

                                        = (2/3)×π×(9.70845²)×12

                                        = 2368.86143 cm³

The volume of the space between the cylinder and the two cones is,

The volume between space = 3553.29326 cm³ -  2368.86143 cm³

                                                = 1184.43183 cm³

Hence, the volume of the space between the cylinder and the two cones is 1184.43183 cm³.

Learn more about Volume:

brainly.com/question/13338592

#SPJ1

4 0
2 years ago
I need help with this question
Murrr4er [49]

The number of cows is given by

14\cdot 2^{\frac{y}{5}}

So, after k years, the number of cows will be

14\cdot 2^{\frac{y+k}{5}}

We want this number to be twice as much as the original:

14\cdot 2^{\frac{y+k}{5}} = 2(14\cdot 2^{\frac{y}{5}})

First of all, we can cancel 14 from both sides:

2^{\frac{y+k}{5}} = 2\cdot 2^{\frac{y}{5}}

Finally, on the right hand side, we can use the exponent rule

a^b\cdot a^c=a^{b+c}

to get

2^{\frac{y+k}{5}} = 2^{\frac{y}{5}+1}

To solve this equation, we must impose that the two exponents are the same:

\dfrac{y+k}{5} = \dfrac{y}{5}+1 \iff \dfrac{y+k}{5} = \dfrac{y+5}{5}

And clearly this is true if and only if k=5. So, it will take 5 years for the cow heard to double in number.

You can do the exact same steps to find the doubling time for the sheeps.

8 0
3 years ago
a piece of property is bought at $105,000 and its value decines at a continous rate of 1.5%. how much is the property worth afte
likoan [24]
U have to add then duivide ok
8 0
3 years ago
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