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boyakko [2]
4 years ago
5

!!!!!!!!HELP PLEASE!!!!!!!!       In ΔSTU, SU = 18 and TU = 13. Find m∠T to the nearest tenth of a degree.

Mathematics
1 answer:
tatyana61 [14]4 years ago
4 0
We can use a trig function to find the measure of angle T.

tan(T) = 18/13

Take the archtangent on both sides since we are searching for an angle.

arctan(tan T) = arctan(18/13)

T = 54.16°

The measure of angle T is 54.16°.
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4cx - 5c = -12x +d, c and d are integers. What is value of c and d?
Tems11 [23]
First, find out c
4c=-12, so c=-3
-5c=d, so d=15
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4 years ago
Question : Find if the coordinates given lie on the circles below: (a) Does (4,2) lie on the circle with equation
wel

Answer:

point lies on circle

Step-by-step explanation:

Substitute the coordinates of the point into the left side of the equation and if equal to the right side then point lies on circle.

(4 - 1)² + (2 + 2)² = 3² + 4² = 9 + 16 = 25 = right side

Then point (4, 2 ) lies on the circle

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3 years ago
H(x) = x3 + 7<br> Determine whether the function is one-to-one.
zubka84 [21]

Answer:

we conclude that the function is one-to-one.

Step-by-step explanation:

A function will a one-to-one function if it

  • passes the vertical line test to make sure it is indeed a function, and
  • also a horizontal line test to make sure it is it one-to-one.

In other words,

The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.

The reason is that there must be only one x-value for each y-value.

Given the function

h\left(x\right)\:=\:x^3\:+\:7

Have a look at the attached graph.

  • The red portion represents the graph of the function h\left(x\right)\:=\:x^3\:+\:7.
  • The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that h\left(x\right)\:=\:x^3\:+\:7 is indeed a function.
  • The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that h\left(x\right)\:=\:x^3\:+\:7 is a one-to-one function, as there is only one x-value for each y-value.

Therefore, we conclude that the function is one-to-one.

6 0
4 years ago
Which of the following best describes the slope of the line below? A. Undefined B. Positive O C. Zero D. Negative​
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Answer:

A..........

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5 0
3 years ago
Which word problem matches the problem? 2 3 x 7 A) Mark has 7 gallons of milk. Ernesto drinks 2 3 of a gallon. How much milk is
kakasveta [241]

Answer:

Out of given word problem , (B) word problem matches the given problem.

B) Mark drinks \frac{2}{3}  of a gallon of milk every week. How much does he drink in 7 weeks? written as,

x=\frac{2}{3}\times 7

Step-by-step explanation:

 Given problem \frac{2}{3} \times 7

We are given four options and we have to chose the correct one.

We will convert each given statement into mathematical problem.

Consider,

A)Mark has 7 gallons of milk. Ernesto drinks \frac{2}{3} of a gallon. How much milk is left?

Mathematically represented as,

Let left milk be x then ,

x=7-\frac{2}{3}

B)Mark drinks \frac{2}{3}  of a gallon of milk every week. How much does he drink in 7 weeks?

Mathematically represented as,

Let milk drink by Mark in 7 weeks be x gallons then ,

x=\frac{2}{3}\times 7

C) Mark has \frac{2}{3} of a gallon of milk. Ernesto has 7 gallons of milk. How much do they have together?

Mathematically represented as,

Let they together they drink  x gallon milk, then

x=\frac{2}{3}+ 7

D) Mark has \frac{2}{3} of a gallon of milk to divide among 7 family members. How much milk does each person get?

Mathematically represented as,

Let each person gets  x gallon milk, then

x=\frac{2}{3} \div 7

Thus, out of given word problem , (B) word problem matches the given problem

4 0
3 years ago
Read 2 more answers
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