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Katarina [22]
3 years ago
11

​ ∠3 ​ and​ ​ ∠4 ​ ​are complementary adjacent angles. m∠4=49° What is the measure of ​​ ∠3 ​?

Mathematics
2 answers:
neonofarm [45]3 years ago
6 0
41°. 90-49=41 mmkmmmm
stepan [7]3 years ago
5 0
Complementary angles add up to 90 degrees 90-49=41. so that means that angle 3 equals 41 degrees <span />
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morpeh [17]

Answer:

80 buckets of red paint

Step-by-step explanation:

Given

The ratio of buckets of yellow paint to buckets of red paint in the store to be 3:4

Total ratio = 3 + 4 = 7

Amount of yellow paint = 60

Required

Amount of red paint.

First get the total amount of paint used.

3/7 * x = 60

x is the total paint used

3x/7 = 60

3x = 7*60

x = 420/3

x = 140 buckets of paint

Amount of red paint = Total - Amount of yellow paint

Amount of red paint = 140 - 60

Amount of red paint = 80

Hence there are 80 buckets of red paint in the store

4 0
3 years ago
Find the value of the inverse function, me need a table with x,y values.<br> y=1/2x+5/2
ankoles [38]
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7 0
3 years ago
Evaluate. Express your answer in exact simplest form.
kumpel [21]

Answer:

6720

Step-by-step explanation:

The writing 8P5 represents the number of permutations of 8 elements  taken 5 at a time.

<u></u>

<u>First Method</u> :

8P5 = 8 × 7 × 6 × 5 × 4

       = 6720

<u>Second Method</u> :

8P5=\frac{8!}{\left( 8-5\right)!}

=\frac{8!}{ 3!}

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6 0
2 years ago
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stiv31 [10]

Answer:

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6 0
3 years ago
Radioactive Waste The rate at which radioactive waste is entering the atmosphere at time t is decreasing and is given by Pe^-kt,
Dmitry_Shevchenko [17]

Answer:

\displaystyle{\int^{\infty}_0 {50e^{-0.04t}}\, dt}=1250

Step-by-step explanation:

Given:

T =\displaystyle{\int^{\infty}_0 {Pe^{-kt}} \, dt}

where,

T = total amount of waste

P = 50, the initial rate

k = 0.04

t = time

T =\displaystyle{\int^{\infty}_0 {50e^{-0.04t}} \, dt}

now we need to solve this integral!

T =\displaystyle{50\int^{\infty}_0 {e^{-0.04t}} \, dt}

T = \left|50\left(\dfrac{e^{-0.04t}}{-0.04}\right)\right|^{\infty}_0

T = \left|-1250e^{-0.04t}\right|^{\infty}_0

T = (-1250e^{-0.04(\infty)})-(-1250e^{-0.04(0)})

when any number has a power of negative infinity it is 0. because: a^-{\infty} = \dfrac{1}{a^{\infty}} = \dfrac{1}{\infty} = 0, like something being divided by a very large number!

T = (-1250(0))-(-1250e^0)

T = 1250

this is the total amount of waste

6 0
3 years ago
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