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MaRussiya [10]
3 years ago
14

Write an equation that relates the angle in a triangle. The measure of angle A is 45 degrees. The measure of angle B is b degree

s. The measure of angle C is 3b degrees.
Mathematics
1 answer:
Korolek [52]3 years ago
7 0
Since the interior angles of a triangle equal 180°, then 180-45=135.

Then you would use 135 to find the remaining two angles: b+3b=135.
4b=135.

Divide to find b. And the plug in whatever b is for the to figure out Angles B and C.

However, I believe the equation it's looking for is: 180=45+b+3b OR 45+4b=180
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Television screen sizes are the diagonal length of the
VikaD [51]
X/8 = 19/13 => x = (8*19)/13 = 11.69 inches long;
8 0
3 years ago
Read 2 more answers
An orange juice company sells a can of frozen orange juice that measures 9.4 centimeters in height and 5.2 centimeters in diamet
drek231 [11]
<h2>Hello!</h2>

The answer is:

The third option:

2.7 times as much.

<h2>Why?</h2>

To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.

So, calculating we have:

Old can:

Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

Volume_{RightCylinder}=Volume_{Can}=\pi r^{2} h

Where,

r=radius=\frac{diameter}{2}\\h=height

We are given the old can dimensions:

radius=\frac{5.2cm}{2}=2.6cm\\\\height=9.4cm

So, calculating the volume, we have:

Volume_{Can}=\pi *2.6cm^{2} *9.4cm=199.7cm^{3}

We have that the volume of the old can is:

Volume_{Can}=199.7cm^{2}

New can:

We are given the new can dimensions, the diameter is increased but the height is the same, so:

radius=\frac{8.5cm}{2}=4.25cm\\\\height=9.4cm

Calculating we have:

Volume_{Can}=\pi *4.25cm^{2} *9.4cm=533.40cm^{3}

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

\frac{533.4cm^{3} }{199.7cm^{3}}=2.67=2.7

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:

2.7 times as much.

Have a nice day!

3 0
3 years ago
[23-3] + [6x9 how to solve it
blsea [12.9K]

Answer:74 is the answer and you would use P.E.M.D.A.S to solve

Step-by-step explanation:

7 0
3 years ago
How would you solve this? Please give an explanation.
Neporo4naja [7]

The <em>first three</em> elements of the <em>recursive</em> series are 6, 10, 8. (Correct choice: B)

<h3>How to generate values from a recursive function</h3>

In this question we have a kind of <em>recursive</em> function known as Fibonacci's function, where a value of the series is generated from at least <em>immediately previous</em> elements. In this case, we need to find the <em>first</em> three elements from the <em>fifth</em> and <em>fourth</em> elements of the series:

a_{n-2} = a_{n-1} - a_{n} + 4

a₄ = a₅ - a₆ + 4

a₄ = - 2 - 0 + 4

a₄ = 2

a₃ = a₄ - a₅ + 4

a₃ = 2 - (- 2) + 4

a₃ = 8

a₂ = a₃ - a₄ + 4

a₂ = 8 - 2 + 4

a₂ = 10

a₁ = a₂ - a₃ + 4

a₁ = 10 - 8 + 4

a₁ = 6

The <em>first three</em> elements of the <em>recursive</em> series are 6, 10, 8. (Correct choice: B)

To learn more on recursive series: brainly.com/question/8972906

#SPJ1

4 0
2 years ago
Given the graphs of f(x) = -x + 2 and g(x) = 5x – 4, what is the solution to the equation f(x) = g(x)?
Stels [109]

Answer:

c) 1

Step-by-step explanation:

f(x) = g(x)

-x+2 = 5x-4

+x       +x

2 = 6x -4

+4      +4

6 = 6x

(divide both sides by 6)

1 = x

7 0
3 years ago
Read 2 more answers
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