One angle of a triangle measures 65°. The other two angles are in a ratio of 3:20. What are the measures of those two angles?

Answers

Answer 1

Answer:

15° and 100°

Step-by-step explanation:

[tex]65 + 3x + 20x = 180[/tex]

[tex]23x = 115[/tex]

[tex]x = 5[/tex]

3 × 5 = 15, 20 × 5 = 100. So the other two angles measure 15° and 100°.


Related Questions

650 times what decimal gives me 3185?

Answers

4.9 is the answer because 650x4.9=3185

Answer:

The decimal is 4.9

The function[tex]f(x)=-11sin (\frac{7}{3}x+\frac{1}{6}) - 2[/tex] models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.

Over what range of temperatures does the average rate of change in temperature fall?

Answers

Range of temperatures does the average rate of change in temperature fall -13F and 9 F

What is formula for Fahrenheit?

The Fahrenheit temperature scale is used in the United States; the Celsius, or centigrade, scale is employed in most other countries and for scientific purposes worldwide. The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) representation is: °F = (9/5 × °C) + 32.

Given function:

f(x)= -11 sin(7/3 x+ 1/6) -2

The function will be maximum at

7/3 x +1/6= 3π/2

So, the maximum temperature will be

= -11 sin (3π/2) -2

= 11 -2

=9 F

The function will be minimum at

7/3 x +1/6= π/2

So, the maximum temperature will be

= -11 sin (π/2) -2

= -11 -2

= -13 F

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How many real solutions if any, does 2x^2-3x+8=0​

Answers

Answer:

The quadratic equation [tex]2\, x^{2} - 3\, x + 8 = 0[/tex] has no real solution.

Step-by-step explanation:

Rewrite the quadratic equation [tex]2\, x^{2} - 3\, x + 8 = 0[/tex] in the standard form [tex]a\, x^{2} + b\, x + c = 0[/tex]:

[tex]2\, x^{2} + (-3)\, x + 8 = 0[/tex], for which:

[tex]a = 2[/tex].[tex]b = (-3)[/tex].[tex]c = 8[/tex].

The quadratic discriminant of [tex]a\, x^{2} + b\, x + c = 0[/tex] is [tex](b^{2} - 4\, a\, c)[/tex].  The quadratic discriminant of [tex]2\, x^{2} + (-3)\, x + 8 = 0[/tex] would be:

[tex]\begin{aligned}& b^{2} - 4\, a\, c \\ =\; & (-3)^{2} - 4 \times 2 \times 8 \\ =\; & (-55)\end{aligned}[/tex].

Since the quadratic discriminant of this equation is negative, this quadratic equation has no real solution.

a monkey is trying to climb a coconut tree. he takes 3 steps forward and slips back 2 steps downwards. each step is 30 cm and each backward step is 40cm. how many steps are required to climb a 100cm tree? Thank you!

Answers

50

3x30=90
2x40=80
so
90cm up
80cm back
10cm gain
5 steps per gain
10 gains to gain 100cm
5 steps x 10 gains = 50 steps

4m=6m-2/5

First answer get to be brainliest! ​

Answers

Answer:

m = 1/5

Step-by-step explanation:

4m = 6m - 2/5

-2m = -2/5

m = 2/5 : 2

m = 1/5

Calculate each probability, given that P(A) = 0.5, P(B) = 0.4 and P(A and B) = 0.1.
P(A | B). Show work!!

Answers

The answer should be 0.21

Answer:

P(A|B) =0.25

Step-by-step explanation:

P(A|B) = P(A and B) / P(B) = 0.1/0.4 =0.25

Please help asap a spinner with 4 sections is spun 30 times. based on these results, what is the experimental probability that the next time the spinner is spun, it lands on yellow?
a. 4/15
b. 1/5
c. 7/30
d. 3/10

Answers

The experimental probability that the next time the spinner is spun, it lands on yellow is 4/15

How to determine the experimental probability?

From the table of values, we have:

Yellow = 8

Total = 30

The experimental probability is then calculated using:

P(Yellow) = Yellow/Total

This gives

P(Yellow) = 8/30

Simplify

P(Yellow) = 4/15

Hence, the experimental probability is 4/15

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Which of the following is the function represented
by the graph?
O
1
y=
-5
(x+3)
1
y=
(x-3)
y=
(x+5)
1
y =
(x - 5)
O
O
O
+5
-3
+3

Answers

Answer:

the last (4th) option

Step-by-step explanation:

the easiest way to find the right answer :

which of the 4 answers would deliver infinity for x = 5 ?

and that is only answer 4, as x = 5 creates 0 in the denominator of the fraction, which leads to the infinity break at that point in the functional curve.

other indications :

the smaller x, the more the denominator goes to -infinity, and the bigger x, the more the denominator goes to +infinity.

and that means the whole fraction goes to 0. and we are left for the function limit with the constant added at the end of the function.

looking at the graph, this has to be +3.

and again, only the 4th answer has "+3" at the end.

The function represented by the graph is y = 1(x - 5) + 3.

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The equation y = 1/(x - 5) + 3 represents a rational function with a vertical asymptote at x = 5.

This means that the graph of the function gets closer and closer to the vertical line x = 5, but never touches or crosses it.

The graph of the function also has a horizontal asymptote at y = 3.

This means that as x approaches infinity or negative infinity, the value of the function approaches 3.

The function has a y-intercept at (0, -4), where x = 0 and y = 1/(-5) + 3 = -4.

Thus,

The function represented by the graph is y = 1(x - 5) + 3.

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Need help asap!!!!!??????

Answers

Answer:

x=8

Step-by-step explanation:

the geometric mean(√(a*b)) of the segments of the hypotenuse is equal to the altitude of the triangle.

4^2 = 2x

16=2x

16/2 =x

8=x

Luke gets paid $13/hour. He got an
additional bonus of $50 for staying late one
day. He got paid $641.50 this month.
Write an equation, define your variable and
solve. How many hours did he work?

Answers

Answer: Luke spent 45.5 hours working

Step-by-step explanation:

let x = hours worked

[tex]641.5 = 13x + 50\\\\641.5-50 = 13x\\\\591.5 = 13x\\\\\frac{13x}{13}=\frac{591.5}{13} \\\\x=45.5[/tex]

We can conclude Luke spent 45.5 hours working

h will be our variable for “Hours”
(h multiply by 13) + 50 = 641.5
In order to find it, we have to switch some places
(641.5 -50) divided by 13 = h
591.5 / 13 = h
45.5 = H
So he works 45.5 hours, or 45 hour and 30 minutes

SOMEONE PLS HELP
Find the arc length of the partial circle.
Either enter an exact answer in terms of te or use 3.14 for at and enter your answer as a decimal.
units

Answers

Answer:

9.42

Step-by-step explanation:

Since the angle shown is 90 degrees we can deduce that the rest of the arc is 270 degrees therefore we can make the fraction:

270/360; 360 being the total angle measurement of a circle

270/360 simplifies to 3/4

The fraction represents how much of the circle that arc covers

Now we have to find the circumference which would be

2(3.14)r

r = 2 therefore: 2(3.14)2 = 12.56

Now that we have the circumference of the WHOLE circle we multiply it by 3/4 to find out the arc length

Which gives us  9.42

Write an equation for a line parallel to the line y=1/3x - 4 through (-3, 2)

Answers

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is 1/3 and passes through (-3 , 2)

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-2=\cfrac{1}{3}(x+3)\implies y-2=\cfrac{1}{3}x+1\implies y=\cfrac{1}{3}x+3[/tex]

Please answer Asapp (Will give brainliest)!

Answers

Answer:

There is no answer as there is no question.

Step-by-step explanation:

Answer:

I added the answer to your newest problem :D

Step-by-step explanation:

Hope it helped!

Is this true or false?

Answers

Answer:

true

Step-by-step explanation:

yas

7


i need help!!



math geniuses pls help me!



please help!!!!



——-

———

Answers

Answer:

1 sick chick FIL a have to be there by the time

Answer:

B is the correct choice.

Explanation:

r = 4sin∅, a = 4, R = 2

[tex]\begin{tabular}{c | l}\theta & r \\ \cline{1-2}\pi /6 & 2\\\pi /3 & 2\sqrt{3}\\\pi /2 & 4\\2\pi /3 & 2\sqrt{3} \\5\pi /6 & 2\\\pi & 0\end{tabular}[/tex]

Plot these points.

answers to the question
1

5

7

9

11

Answers

Answer:

x = 1 , x = 9

Step-by-step explanation:

from the table

f(x) = g(x) = 14 when x = 1 , and

f(x) = g(x) = 6 when x = 9

then the solutions to f(x) = g(x) are

x = 1 and x = 9

Please help me solve the value of H for +10 points.​

Answers

Answer:

133°

Hope this helps!!!

What is the factor form pls yall I need help lol and put how to solve it

Answers

Answer:

y = -1/2(x - 3)(x - 7)

Step-by-step explanation:

we already have the x intercepts so we can first put those in our equation

y = a(x - 3)(x - 7)

then we can plug in the vertex to find what our a value is

2 = a(5 - 3)(5 - 7)

2 = a(2)(-2)

2 = -4a

a = -1/2

so your equation is

y = -1/2(x - 3)(x - 7)

The radius of a circle with an area of 60 square centimeters is represented by the expression StartRoot StartFraction 60 Over pi EndFraction centimeters. What is another way of expressing the radius?

Answers

Another way of expressing the radius is to express it as a decimal given as r  = 19.108 cm

What is a circle?

The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.

Given the expression for the radius of the circle given as

[tex]r=\dfrac{60}{\pi}[/tex]

We can also express the radius as a decimal instead of a fraction.

Given that π = 3.14, Substitute into the expression of the radius to have:

[tex]r=\dfrac{60}{3.14}=1.9.108\ cm[/tex]

Hence another way of expressing the radius is to express it as a decimal given as r  = 19.108 cm

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A manufacturer is designing a square-based shipment box to transport its product from the manufacturing plant directly to customers. The volume of the box must be 100 cubic inches. Explain how the manufacturer can choose dimensions such that the surface area of the box is minimized (minimizing the quantity of materials needed to construct the box). Provide a mathematical justification, and be sure to include the surface-area-minimizing dimensions. Round all values to the nearest tenth.

Will mark brainliest please help!!

Answers

If the side be s

Volume is 100in³

So

side³=100s³=100s=³√100s=√10ins=3.14≈3.1in

In a bag, there are oranges and bananas. If we give away 135 bananas, the percentage of fruits in the bag that are bananas will decrease from 60% to 15%. How many oranges are there in the bag

Answers

The number of oranges that are in the bag is  120.

How many oranges are in the bag?

The equation that represents the initial amount of bananas in the bag is: bananas / total number of fruits = 0.60

bananas = 0.60t  equation 1

The equation that represents the number of bananas in the bag after 135 was removed is:

(b - 135) / t = 0.15

b - 135 = 0.15t equation 2

Where :

b - total number of bananas t = total number of fruits

Substitute for b in  equation 2 using  equation 1

0.6t - 135 = 0.15t

0.6t - 0.15t = 135

t = 135 / (0.6 - 0.15)

t = 300

The initial number of bananas : 0.6 x 300 = 180

Number of oranges = 300 - 180 = 120

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PLEASE HELP!!! DUE BY THE END OF NIGHT (LOOK AT PICTURE PLEASE)

Answers

Answer: 60%, or D. hope this helps!

Step-by-step explanation:

Add all Blue - 30 + 20 = 50  so since theres 30 with no nuts its 30/50, divide them and you get 0.60, and as a percentage that is 60%

Answer:

D. 60%

Step-by-step explanation:

50 total blue candies (20 + 30)

30 of them contain no nuts according to the table, which means that is 30/50. This reduces to 6/10 or 0.6. As a percentage that is 60%

Click “show your work” and graph the absolute value function shown below. f(x) =|x – 4| + 1

Answers

Answer: here u go

Step-by-step explanation:

Darnel drew a scale drawing of a swimming pool. the scale he used was 14 centimeters : 5 meters. if the actual width of the pool is 10 meters, how wide is the pool in the drawing? '

Answers

Answer:

28cm

Step-by-step explanation:

Given that;

14cm = 5m

x = 10m

cross multiply

5x = 140

divide both side by (5)

[tex] \frac{5x}{5} = \frac{140}{5} [/tex]

:- x = 28cm

The stemplot below displays the times, in seconds, for 25 students to run 100 meters.

A stemplot titled 100 meter times (seconds) has values 22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30.

Are there any outliers?

No, there are no outliers.
Yes, 22 is an outlier.
Yes, 30 is an outlier.
Yes, 22 and 30 are outliers.

Answers

Since there is no value that is far removed from all others thus we can say that there are no outliers in the data set.

What is an outlier?

In the process of statistical observation, an outlier is any value that lies too far away from other values in the data set.

If we look at the data set as shown, there is no value that is far removed from all others thus we can say that there are no outliers in the data set.

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The midpoint of overline AB is M(2, -2) If the coordinates of A are (-2, 1), what are the coordinates of B?

Answers

Answer:

(6, -5)

Step-by-step explanation:

Midpoint :

(2, -2) = (x - 2 / 2, y + 1 / 2)

Equations formed :

x - 2 / 2 = 2x - 2 = 4x = 6

    2. y + 1 / 2 = -2

y + 1 = -4y = -5

Coordinates of B : (x, y)

(6, -5)

Iggy is practicing for a marathon by running laps on the
track at school. Each lap covers 0.7 kilometers, and he
has already run 19.6 kilometers. How many laps does he
need to run if he wants to complete 91 kilometers?

Answers

He has ran 28 laps and he need to run 130 laps

Ming made 7 batches of muffins. She used 1.75 pounds of apples per batch. How many pounds of apples did Ming use to make all the muffins? 11.5 pounds 12.25 pounds 9 pounds 4 pounds

Answers

Answer:

12.25

Step-by-step explanation:

Multiply the pounds of apples by the batches.

1.75×7=12.25

Question 3 of 10
Which number sentence below matches this word problem?
On Monday, 4 people signed up to go bowling. The following day, 11 more
people agreed to go. How many people are planning to go bowling?
A. 4+ 11 = 15
B. 11 x 4 = 44
C. 15-4 = 11
D. 44-4 = 11

Answers

Answer:

A

Step-by-step explanation:

On Monday 4 people signed up plus the 11 who agreed to go the following day

which adds up to 15

Question 10 of 10
Find the area of the figure.
5 m
2 m
9 m
O A. 27 m2
O B. 54 m2
O C. 45 m2
O D. 36 m2

Answers

Answer:

45 m2

Step-by-step explanation:

It was the only reasonable answer lol

9x5=45

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