What is the area of triangle ABC if a = 10 (degrees), B = 22 (degrees), and C = 70 (degrees) please help me.
A. 454.32 Sq Units
B. 103.37 Sq Units
C. 1.76 Sq Units
D. 17.61 Sq Units
Answers
Answer:
D. 17.61 square units
Step-by-step explanation:
To find the area of the ∆ABC, we can apply the formula below:
Area of ∆ABC = ½×a×c×sin(B)
a = 10
c = ??
B = 22°
Let's find c using Sine Rule:
Thus:
[tex] \frac{a}{sin(A)} = \frac{c}{sin(C)} [/tex]
Where,
a = 10
c = ??
A = 180 - (22 + 70) = 88°
C = 70°
Plug in the values
[tex] \frac{10}{sin(88)} = \frac{c}{sin(70)} [/tex]
Multiply both sides by sin(70)
[tex] \frac{10}{sin(88)} \times sin(70) = \frac{c}{sin(70)} \times sin(70) [/tex]
[tex] \frac{10 \times sin(70)}{sin(88)} = c [/tex]
[tex] 9.4 = c [/tex] (nearest tenth)
✔️Area of ∆ABC = ½×a×c×sin(B)
Plug in the values
Area of ∆ABC = ½ × 10 × 9.4 × sin(22)
Area = 17.61 square units (nearest tenth)
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Which expressions are equivalent to 6a(5+d) ?
Select each correct answer.
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(6a⋅5)+(6a⋅d)
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Answers
Answer: A is correct i think
Step-by-step explanation: 6a x 5 = 30a
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Answer:
A
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
This answer is not originally mine so Don give me credit
Step-by-step explanation:
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While sushma's school bus has speed of 11 m/s
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Answer:
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Sushma's 11 m/s
Step-by-step explanation:
Amit's:
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Sushma's:
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Question 3 (1 point)
What is the area of the triangle?
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a
30 units squared
b
25 units squared
c
11 units squared
d
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Answers
Answer:
d: 15 units squared
Step-by-step explanation:
The area of a triangle is [tex]\frac{b*h}{2}[/tex]:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
m = -1
Step-by-step explanation:
18 - 4m = 6 - 16m
18 - 6 = 4m - 16m
12 = -12m
m = 12 / -12
m = -1
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Answers
Answer:
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Step-by-step explanation:
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20 = 2+18
and it's also a multiple of 2 and 5
Answer:
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Step-by-step explanation:
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Answers
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Answer:
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Step-by-step explanation:
76763476-2345-345-324-23+5324+345234÷6847397475287365x3789127482297547 85345455345325234-345325+32453892727-2566663487296236582345x54287395 79238365379245÷97438528453492= what
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76765763+(1.91041289x[tex]10^{22}[/tex])-345325+32453892727-(1.43000391x[tex]10^{29}[/tex])
−1.43000372×[tex]10^{29}[/tex]
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Of the relations graphed below, three are functions and one is not.
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Total paper clips=18×150
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Answer:
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Step-by-step explanation:
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Answer:
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Is this wrong?
Factorize x^2+3x+2
x^2+2x+x+2
x(x+2)+x+2
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if wrong please correct.
Help!
Answers
Step-by-step explanation:
The last step is a little wrong. Lemme show you:
x(x + 2) + (x + 2)
Imagine there is an invisible '1' infront of (x + 2) like this:
= x(x + 2) + 1(x + 2)
Now we can combine the like terms together:
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This is the correct factorization.
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Answers
Answer:
2 - [tex]\frac{57}{7}[/tex]x
Step-by-step explanation:
2-1x(57/7)
2 - [tex]\frac{57}{7}[/tex]x
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Answers
Answer:
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Step-by-step explanation:
Answer:
Not enough Data
Step-by-step explanation:
Q. There are 42 teachers that work in a school. On Friday, 29 teachers were present What
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Answers
Answer:
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Step-by-step explanation:
A tank is 4/5 full of water after drawing
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Answers
Explanation:
(4/5)L
t - 190 = (1/6)L
---
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(19/30)L = 190
L = 190(30/19)
Kenia rotated Triangle ABC 90° counterclockwise to create Triangle A’B’C’. If Kenia performed this transformation correctly, what is the measure of angle B'? What is the measure of angle A and C. Number value only. URGENT
Answers
Answer:
B' = 105°
C = 27°
A = 48°
Step-by-step explanation:
Given
B = 105°
C = (2x - 3)°
C' = (5x - 48)°
Rotation = 90°
Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.
i.e. an angle retain its measurements pre and after rotation.
Solving (a): The measurement of B'
Using the analysis above.
B' = B
Recall that
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So:
B' = 105°
Solving (b): A and C
First, I'll solve for C.
Using the same analysis above.
C = C'
Substitute values for C and C'
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Collect like terms
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Answers
Answer:
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find the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year .
Answers
Answer:
A = $2,122.20
Step-by-step explanation:
A = P(1 + r/k)^kt
Where,
A = future amount
P = principal = $1,500
r = interest rate = 7%
k = number of periods compounded = 4
t = years = 5 years
A = P(1 + r/k)^kt
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Answers
Answer:
so it should be D because after you check them all D is the only one that the watch would actually cost $50- sorry for the confusing ecplanation but im like 99.99999% sure its right
Step-by-step explanation:
What is the sin value of 5pi/3
Answers
Answer:√(3)/2
hope that helped you:)
please make my answer brainiest as im trying get 4 brainiest answers
6464 is 444 times the difference between Sarah's age, aaa, and 444444. Assume Sarah is older than 44
Answers
Answer:
60 years
Step-by-step explanation:
Given that :
Sarah's age = a
Assume Sarah is older than 44 ; then a > 44
64 = 4 times difference between a and 44
Expressing the problem mathematically ;
64 = 4 * (a - 44)
64 = 4a - 176
64 + 176 = 4a
240 = 4a
a = 240 / 4
a = 60
Hence, Sarah is aged 60
A five year old child receives an allowance of $1 each week. His parents promise him an annual increase of $2 per week. Write a formula for the child's weekly allowance in a given year.
Answers
A large pot of water is heating up on a stove at a constant rate. After three minutes of heating it had a temperature of 100 ℉. After nine minutes of heating the temperature was at 148 ℉. Let T be the temperature and n be the number of minutes. Write a linear equation for T in terms of n.
Answers
Answer:
Given function:
y=9.5x+62.1
We have to find the number of minutes x, when y=138.1°F
Put value of y in function.
138.1=9.5x+62.1
Subtract 62.1 from both sides.
76=9.5x
Divide both sides by 9.5.
8=x
or
x=8 minutes
Answer: After 8 minutes the temperature of water will be 138.1°
Step-by-step explanation:
Answer:
T= 8n+76
Step-by-step explanation:
First you need to find the average rate of change:
( 3, 100)
(9,148)
Subtract:
148-100= 48
9-3= 6
Then divide them:
48/6=8
This is your slope, now we must find our y- intercept by using the formula
y= mx+b:
y=mx+b
Plug in what you know:
y= 8x+b
To find your y-intercept use one of the 2 points above, either (3,100) or (9,148)
Plug in your x's and y's into your almost complete equation:
100= 8(3)+b
Then solve to get b:
You should get b=76
Hope this helps