Solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree.
Answers
Answer:
b = 13.8
A = 45°
C = 35°
Step-by-step explanation:
Given:
m<B = 100°
a = 10
c = 8
Required:
b, m<C, and m<A
✔️Find b using Cosine Rule:
b² = a² + c² - 2*ac*Cos(B)
Plug in the values
b² = 10² + 8² - 2*10*8*Cos(100)
b² = 164 - (-27.7837085)
b² = 191.783709
Take the square root of both sides
b = 13.8 (nearest tenth)
✔️Find m<C using Sine rule:
[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]
Multiply both sides by 8
[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]
[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]
[tex] Sin(C) = 0.5709 [/tex]
[tex] C = Sin^{-1}(0.5709) [/tex]
[tex] C = 35 [/tex] (nearest degree)
m<C = 35°
✔️m<A = 180 - (100 + 35) (sum of triangle)
m<A = 180 - 135
m<A = 45°
Related Questions
Find the slope of Y(-5, 0), Z(-2,-4) *
Answers
Answer:
[tex]\boxed{\sf{-\dfrac{4}{3} }}[/tex]
Step-by-step explanation:
Use the slope formula.
Slope:
[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]
y2=(-4)y1=0x2=(-2)x1=(-5)[tex]\sf{\dfrac{-4-0}{-2-\left(-5\right)}=\dfrac{-4}{3}=\boxed{\sf{-\dfrac{4}{3} } }[/tex]
Therefore, the slope is -4/3, which is our answer.Answer:
[tex]slope=\frac{-4}{3}[/tex]
Step-by-step explanation:
Step 1: Determine the slope
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]slope=\frac{-4-(0)}{-2 -(-5)}[/tex]
[tex]slope= \frac{-4}{-2 + 5}[/tex]
[tex]slope=\frac{-4}{3}[/tex]
Answer: [tex]slope=\frac{-4}{3}[/tex]
Find the slope of the line that passes through (5,2) and (9,6).
Answers
Answer:
1
Step-by-step explanation:
slope m=y2-y1/X2-x1
=6-2/9-5
=4/4= 1
Evaluate the expression
negative 14 plus 5
Answers
Answer:
its -9 :)
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Answer:
-9
Step-by-step explanation:
-14+5 = -9
In equations like this, look at the signs of the numbers and that will tell you what to do. Remember it like this:
"Same signs add and keep. Different signs subtract. Keep the sign of the higher number then you'll be exact"
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92.
Answers
You missed a small portion of the question in the end. If I am not mistaken, I am able to find the complete question which you should have added. Anyways, this would help you clear your concept as I would explain the context.
Here is the complete question:
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 92.
How many minutes would it take the printer to use all 92 sheets of paper?
Answer:
It would take 11.5 minutes for the printer to use all 92 sheets of paper
Step-by-step explanation:
Given:
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92To determine:
How many minutes would it take the printer to use all 92 sheets of paper?
Given the function
[tex]p(t) = -8t + 92[/tex]
We know that when all the 92 sheets of paper will be printed, there will be no more sheets left to be printed.
Therefore, we need to substitute p(t) = 0 in the given function to determine the value of time in minutes
[tex]0 = -8t + 92[/tex]
[tex]8t = 92[/tex]
Divide both sides by 8
[tex]\frac{8t}{8}=\frac{92}{8}[/tex]
[tex]t=\frac{23}{2}[/tex]
[tex]t = 11.5[/tex] minutes
Therefore, it would take 11.5 minutes for the printer to use all 92 sheets of paperPLEASE HELP ASAP!!!!!!!!
Given the exponential function f(x) = 60(1.07)x, classify the function as exponential growth or decay and determine the percent rate of growth or decay.
Exponential growth, 60% increase
Exponential growth, 7% increase
Exponential decay, 7% decrease
Exponential decay, 60% decrease
Answers
Answer:
3rd
Step-by-step explanation:
Answer:
Exponential decay, 7% decrease
Step-by-step explanation:
In the triangle shown, find x.
Answers
help ! question 6 . I’ll give brain.
Answers
Answer:
B
Step-by-step explanation:
Answer:
I think its B
Step-by-step explanation:
put me as brainliest
On a map of Volleytown, a scale of 1 centimeter = 50 kilometers is used. If the actual distance
from Setter Street to Spike Street is 75 kilometers, how far apart should the two streets be on the
map?
Answers
Answer:
1km
Step-by-step explanation:
because ur mom gay
pleasee helppp!!!!!! I would be so happy
Abhasra and Perry each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Abhasra spent $152 on 13 daylilies and 10 bunches of ornamental grass. Perry spent $64 on 1 daylily and 6 bunches of omamental grass. What is the cost of one daylily and the cost of one bunch of ornamental grass?
Answers
The lengths of 2 sides of a triangle are 26 and 48. What is the range of possible side lengths for the 3rd side of the triangle?
Answers
Answer:
16
Step-by-step explanation:
If you add the 26 and 48 you get 74 and then you subtract 74 from 90 since your total needs to be 90 and get your answer of 16
What is the sum of
6x - 11y + 2x + 2y?
the answer need to be a formula of answer+answer
this is 15 points, so please help
Answers
Answer:
8x-9y
Step-by-step explanation:
6x+2x=8x, -11y+2y=9y
Hope this helps plz hit the crown :D
please help fast will mark brainliest
Answers
Answer:
b (5x+4y=32) is the correct answer
Step-by-step explanation:
if it is parallel then the slop has to be the same which means you can eliminate choices a and c. then, you can plug in the points they give you to see if the statement holds true.
5x+4x
5(12)+4(-7)
60-28
32
therefore, option b is correct
brainliest for correct answer
Answers
Answer:
5
Step-by-step explanation:
what is the slope for the graph y - 4x =-2 ?
Answers
Answer:
4.000
Step-by-step explanation:
Solve the inequality
22 + 4x - 32 < 0
Answers
Answer:
x=5
Step-by-step explanation:
22 + 4x - 32 < 0
+32 +32
22 + 4x < 32
-22 -22
2x < 10
divide by 2
x=5
2 angles whose non shared sides are opposite rays are defined as
Answers
Jacob sells homemade skateboard decks for a profit of $27 per deck. He is considering switching to a new type of material that will increase his profit, as expressed by the function y = 32x, where x is the number sold and y is the amount of profit.
How many more dollars will Jacob earn on each skateboard deck if he switches to the new material? Explain how you found your answer.
Answers
Answer:
multiply it and the answer is x
Step-by-step explanation:
answer x that
2+4(x+1)=0 PLEASE HELPPPP ME
Answers
Answer:
I suggest that you use Socratic to solve this.
Step-by-step explanation:
Answer:
[tex]x=\frac{-3}{2}[/tex]
Step-by-step explanation:
[tex]2 + 4 ( x + 1 ) = 0[/tex]
[tex]2 + 4x + 4 = 0[/tex]
[tex]6 + 4x = 0[/tex]
[tex]4x = -6[/tex]
[tex]x = \frac{-3}{2}[/tex]
Help please I will give Brainliest !!!!1
Answers
Answer:
exactly two factors
Step-by step Explanation:
A prime number is an integer, or whole number, that has only two factors: 1 and itself. Put another way, a prime number can be divided evenly only by 1 and by itself. Prime numbers also must be greater than 1. For example, 3 is a prime number, because 3 cannot be divided evenly by any number except for 1 and 3.
When given h(x)=-x+4, solve for x when h(x)=0
Answers
Answer:
x=4
Step-by-step explanation:
h(x)=-x+4
h(x)-0+4
h(x)=4
Answer:
x = 4
Step-by-step explanation:
Given: [tex]h(x) = - x + 4[/tex]
Solve for x, when: [tex]h(x) = 0[/tex]
◇◇•◇◇
[tex] - x + 4 = 0[/tex]
[tex] - x = - 4[/tex]
[tex]\boxed{\green{x = 4}}[/tex]
Help please! Write the equation for the line.
Answers
Answer:
y=x-3
Step-by-step explanation:
The slope goes up by 1 and the y intercept is -3
Please help! 20 points! Idk what I'm doing wrong.
Answers
Answer:
I think that it is 74 i did 102-28.
Step-by-step explanation:
hope this is helpful!!;)
A town’s population is 60,375. An average of 125 people move into the town each month. Write an equitation to find m, how many months will population of the town be equal to 64,875?
A. 125m+ 60,375=64,875
B. 64,875m+ 125 =60,375
C. 60,375m+ 125 =64,875
D. 125m+ 65,875 = 60,375
Answers
4/3 ÷ 7/8 = in khan academy
Answers
Answer:
1/42
Step-by-step explanation:
1 11/21
Have a Merry Christmas!
what is the simplified unit rate of 1/3 and 3/4
Answers
Answer:
3/4 = 0.75 1/3 = 0.3333
Step-by-step explanation:
What is m=3 and the line goes through the point (2,4) in point - slope form
Answers
Answer:
y-4=3(x-2)
Step-by-step explanation:
y-y1=m(x-x1)
GAIQNFKDKER HELP PLZ
Answers
Answer:
it's the first answer
Step-by-step explanation:
literally every other answer is ruled out because D is the greatest variable and can't be smaller than anything else
10 Plz Help Cube Measuring Volume!
Answers
Answer:
The last choice
Step-by-step explanation:
Find the slope of GH: G(-11, -3) and H(-6,7)
Answers
Answer: m=2
M stand for measurement
Step-by-step explanation:
(−11,−3);(−6,7)
(x1,y1)=(−11,−3)
(x2,y2)=(−6,7)
Use the slope formula:
m= y2−y1 /x2−x1
(7−(−3) ) −( 6−(−11) )
= 10 /5
=2
Answer: m=2
(hope this helps )
help me answer this please!!! i will mark you brainliest
Answers
Answer:
363 ft.
Step-by-step explanation:
To calculate the base side which is b we use the trigonometric identity called cosine.
[tex]cos \theta=\frac{base}{hypotenuse} \\\\cos25 = \frac{b}{400}\\\\b=400*cos 25\\b=400*0.906\\b=362.5\ ft[/tex]
Since we the answer to the nearest whole number it would be b = 363 ft.