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
For the function f(x)=3x-4 find f(2)
Answers
Hi there!
[tex]\large\boxed{f(2) = 2}[/tex]
Evaluate f(x) at x = 2 by substituting 2 for x:
f(x) = 3x - 4
f(2) = 3(2) - 4
f(2) = 6 - 4
f(2) = 2
The sales tax on a $750 computer at T&C Computers is $75. What is the sales tax rate? BTW
ANSWER IS 10%
Answers
Answer:
10%
Step-by-step explanation:
Price of computer = $750
Amount of sales tax = $75
Sales tax rate = Amount of sales tax / Price of computer × 100
= $75 / $750 × 100
= 0.1 × 100
= 10%
Sales tax rate = 10%
Sales tax rate = 10% of selling price
What is the value of n in the equation below 9n-24=4n+6
Answers
Answer:
6 (I believe so)
Step-by-step explanation:
9n-24=4n+6
9n=4n+30
5n=30
n=6
Answer:
n=6
Step-by-step explanation:
9n - 24 = 4n + 6
-4n -4n
5n - 24 = 6
+24 +24
5n = 30
divide both sides by 5
n = 6
hope this helps!!!
Solve the given system by substitution.
Answers
Answer:
(-3, -15)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
n = 5m
n = 2/3m - 13
Step 2: Solve for m
Substitution
Substitute in n: 5m = 2/3m - 13Subtract 2/3m on both sides: 13/3m = -13Divide 11/3 on both sides: m = -3Step 3: Solve for n
Define equation: n = 5mSubstitute in m: n = 5(-3)Multiply: n = -15Answer:
Step-by-step explanation:
5m = 2/3m - 13
15m = 2m - 39
13m = -39
m = -3
n = 5(-3)
n = -15
(-3, -15)
1. y = x2 + 2x – 8
Axis of Symmetry:
Vertex:
Domain:
Range:
Answers
Answer:
Axis of Symmetry: x=-1
Vertex: (-1,-9)
Domain: (- ∞ ,∞ )
Range: (-9,∞ )
Step-by-step explanation:
A person who is 2 m tall casts a shadow that is 5 m long. At the same time, a building casts a shadow that is
24 m long. How tall is the building? Please show me how u get the answer
Answers
Answer:
9.6
Step-by-step explanation:
First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.
Number 17 please help?
Pls
Answers
Answer:
B
Step-by-step explanation:
SOMEONE HELP ME WITH GEOMETRY PLEASE!!!!
Find the coordinates of the orthocenter of the triangle with the given vertices.
A(−1, 2), B(9, 2), C(−1, −3)
Answers
Answer:
is there a picture or something?
Answer:
it's (-1,2)
Step-by-step explanation:
Convert the following equations from point-slope form to slope-intercept form.
9) y – 4 = 3(x – 1)
10) y – 1 = -4(x – (-3))
Answers
We need to solve both for y.
#9:
[tex]y - 4 = 3(x - 1)\\\\y - 4 = 3x - 3\\\\y = 3x + 1[/tex]
#10:
[tex]y - 1 = -4[x - (-3)]\\\\y - 1 = -4(x + 3)\\\\y - 1 = -4x - 12\\\\y = -4x - 11[/tex]
An object launched straight puwar from the ground level wiht an initional velocity of 32 feet per second.The formula H=32T-16T^2 gives it heigtht,h,in feet after t second. At what time does the object hit the ground?
Answers
Answer:
2 secs after
Step-by-step explanation:
Given the height of the object modeled by the eqaution;
H(t) = 32T - 16T² where;
T is the time in seconds
The object hits the ground when h(t)= 0
Substitute H = 0 into the equation and get t as shown;
0 = 32T - 16T²
0-32T = -16T²
-32T = -16T²
32T = 16T²
32 = 16T
T = 32/16
T = 2secs
Hence the object hits the ground after 2 secs
WILL GIVE BRAILLEST IF YOU HELP ME!
Answers
Answer:
3 centimeters per minute so solving the equation 15 divided by 4 for the y value equal to 30
Step-by-step explanation:
BRAINLIEST PLEASE
Evaluate the expression 5a + 12b for a = 5 and b = 12
PLEASE PLEASE help!
Answers
Answer:
I think the answer is 169
Which one is it pls help
Answers
Answer:
c
Step-by-step explanation:
Answer:
C. yes because BC/ST = AC/RT
Hope This Helps!
PLZ HELP ME ITS 30 POINTS TROLLERS WILL BE REPORTED
Answers
Answer:
haha troll go brrr
Step-by-step explanation:
2,4,5 (actual answer)
2-angle MNP (38) is less than angle ONP (39)
4- they are equal by the reflexive property of congruence op
5-is MNP has a lower angle, side MP should have a longer side
MAngle MNP is less than MAngle ONP
Line NP is congruent to Line NP
Line MP is less than Line OP
if 14 of the 22 students in mrs herberts 2nd period class choose math as the favorite subject, what is the P(math)
Answers
Answer:
A(math)
Step-by-step explanation:
DUE ASAP AT 11!!!!!!!!1 -3x - 6x = 6 + x - 7x
A -2
B -12
C -3
D 11
Answers
Answer:
The correct answer is -2
Answer:
-2
Step-by-step explanation:
3x-6x=6+x-7x
=> -3x-x+7x=6
=> -4x+7x=6
=> 3x=6
=> x=6/3
=>x=2
PLZ HELP ME PLZ I NEED IT
Answers
Answer:
Step-by-step explanation:
we see that when x = 0 the y = 7 so we already kno our y intercept is 7
then we can see that it decreases by 4 each time so our slope is -4x
now we just put that in equation form
y=-4x+7
hope this helps <3
Select the equation that shows a proportional relationship between x and y. Oy - 2x + 4 oys 5x O y = 3x - 5 OY-5.8
Answers
Given:
There exist a proportional relationship between x and y.
To find:
The equation which represents a proportional relationship between x and y.
Solution:
If there exist a proportional relationship between x and y, then
where, k is constant of proportionality.
We know that, proportional relationship passes through the origin because (0,0) satisfy .
For x=0, check which equation has y=0.
In option A, .
In option B, .
In option C, .
In option D,
Only in option C, we have a equation of the form with 4 as constant of proportionality and it passes through (0,0).
Therefore, the correct option is C.
Answer:
You can give China brainiest.
Step-by-step explanation:
how do you write 7/10 as a decimal Can someone please help me!!
Answers
Answer:
0.7
Step-by-step explanation:
To get 7/10 as a decimal you simply divide 7 by 10 which gets you 0.7.
Keep that Michelle went out To dinner. The total cost of the meal, including the tip, came out to $53.70. It's a combined tip came out to $9.60 and each friend spent an equal amount, how much did each friend pay not including the tip?
Answers
The question is incomplete:
Keith and Michelle went out to dinner. The total cost of the meal, including the tip, came to $53.70. If the combined tip came out to $9.60, and each friend spent an equal amount, how much did each friend pay not including the tip?
Answer:
Each friend paid $22.05 without including the tip.
Step-by-step explanation:
Since you know the total cost of the meal including the tip and the value of the combined tip, you can subtract the amount of the tip from the total cost and divide the result by 2 as they spent an equal amount:
$53.70-$9.60=$44.1
$44.1/2=$22.05
According to this, the answer is that each friend paid $22.05 without including the tip.
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
When solving an equation, Gabrielle’s first step is shown below. Which property justifies Gabrielle’s first step?
Original Equation:
-2-2x+4=5
First Step:
-2x-2+4=5
Answers
evaluate the expression
(7×18+45)÷3×2
please help
Answers
Answer:
28.5
Step-by-step explanation:
(7×18+45)÷3×2
7x8 = 126
3x2 =6
(126+45) / 6
126+45= 171
171 /6
171/6 = 28.5
just fill out why it is 3
Answers
Answer:hi
Step-by-step explanation:hi
Because, in reverse it's basically asking what is 12 minus 5. So, 12 minus 5 is 3!
Hopefully, this helps! :D
Ask your question below.
MORE EASY POINTS FOR Y'ALL
Answers
Answer:
False
Step-by-step explanation:
There are 2 y values for 6 and 12. A function only has one for each x value.
Hope I helped!!!!
Can you arrange 25 small squares to make a larger square? Can you arrange
35 small cubes to make a larger cube?
Answers
Solve for x
2(X-5) +6=7(X-1)-2 (x -6)
Answers
Answer:
x = - 3
Step-by-step explanation:
2x - 10 + 6 = 7x - 7 - 2x + 12
2x - 4 = 5x + 5
- 5 - 4 = 5x - 2x
-9 = 3x
x = - 9/3
x = - 3
7/15 - 2/5
please can someone do a step by step? thank you
Answers
Answer:
1/15
Step-by-step explanation:
1.) Make the denominator equal by turning the 5 into a 15 (In order to subtract it properly)
2.) Make the 2 correspond with the denominators. In this case multiply by 3 because 5 goes in to 15 3 times. Equation Now: 7/15 - 6/15
3.) Subtract the numerators to get your answers
4.) Final Answer: 1/15
A manager of the credit department for an oil company would like to determine whether the mean monthly balance of credit card holders is equal to $75. An auditor selects a random sample of 100 accounts and finds that the mean owed is $83.40 with a sample standard deviation of $23.65. If you were to conduct a test to determine whether the auditor should conclude that there is evidence that the mean balance is different from $75, which test would you use? a) Z-test of a population mean b) Z-test of a population proportion c) t-test of population mean d) t-test of a population proportion
Answers
Answer:
c) t-test of population mean
Explanation:
The t-test statistic is used in hypothesis testing. Here we would use a one sample t test to test our hypothesis. The one sample t test measures the statistical difference between the hypothesized mean and the sample mean. In a one sample t test or single sample t test, a test variable is measured against a test value.
Example we compare our test variable to the hypothesized mean value $75 above.
The t test is used instead of z score when standard deviation is unknown.
Using the t test, we either accept or reject the null hypothesis given alternative hypothesis.
Determine the equations you would use to represent the situation.
You sold 27 tickets total. Some of the tickets were student tickets and the rest were adult tickers.
You collected $170 selling the tickets. If the student tickets cost $5 and the adult tickets cost $10.
how many student tickets did you sell?
Answers
Answer:
You sold 20 student tickets.
Step-by-step explanation:
Given that:
Total tickets sold = 27
Total amount collected = $170
Cost of student ticket = $5
Cost of adult ticket = $10
Let,
x be the number of students tickets sold
y be the number of adult tickets sold
x+y = 27 Eqn 1
5x+10y=170 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=27)
10x+10y=270 Eqn 3
Subtracting Eqn 2 from Eqn 3
(10x+10y)-(5x+10y)=270-170
10x+10y-5x-10y=100
5x=100
Dividing both sides by 5
[tex]\frac{5x}{5}=\frac{100}{5}\\x=20[/tex]
Hence,
You sold 20 student tickets.