The following figure shows \triangle ABC△ABCtriangle, A, B, C with side lengths to the nearest tenth. Triangle ABC. Side AC measures 8 units and side BC measures 15 units. Angle B is 28 degrees. Triangle ABC. Side AC measures 8 units and side BC measures 15 units. Angle B is 28 degrees. Find m\angle Am∠Am, angle, A. Note that m\angle Am∠Am, angle, A is acute. Round to the nearest degree.
Answers
Answer:
62
Step-by-step explanation:
Khan Academy. I got this correct, so trust me :)
The measurement of the angle A for the considered triangle is found being of 62° approximately.
What is law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]
Remember that we took
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
For the considered triangle, we can use sine rule.
In triangle ABC, we're given that:
|AC| = 8 units|BC| = 15 unitsm∠B = 28°m∠A = ?° (to be found)The side opposite to angle A is BC and the side opposite to angle B is AC. Thus, by sine law, we get:
[tex]\dfrac{\sin(m\angle A)}{|BC|} = \dfrac{sin(m\angle B)}{|AC|}\\\\\dfrac{\sin(m\angle A)}{15} = \dfrac{\sin(28^\circ)}{8}\\\\\sin(m\angle A ) \approx \dfrac{15 \times 0.46947}{8} \approx 0.88026\\\\m\angle A \approx \sin^{-1}(0.88026)\\\\m\angle A \approx 61.67^\circ, 118.32^\circ[/tex]
But since angle A is acute(angle with measure of less than 90 degrees), thus, m∠A ≈ 61.67° ≈ 62°
Thus, the measurement of the angle A for the considered triangle is found being of 62° approximately.
Learn more about law of sines here:
https://brainly.com/question/17289163
Related Questions
In the data set below, what are the lower quartile, the median, and the upper quartile? 626676848497 lower quartile = median = upper quartile =
Answers
Answer:
Q1 = 4
Q2 = 7
Q3 = 42. 75
Step-by-step explanation:
Given the data:
626676848497
6, 2, 66, 7, 6, 8, 4, 8, 49, 7
Arrange in ascending order :
2, 4, 6, 6, 7, 7, 8, 8, 49, 66
The lower quartile (Q) :
1/4(n+1)th term
n = number of sample = 10
1/4(11)th term
2.75 term : (2 + 6) /2 = 8/2 = 4
Median :
1/2(n+1)th term
n = number of sample = 10
1/2(11)th term
5. 5 term : (7 + 7) /2 = 14/2 = 7
Upper quartile :
3/4(n+1)th term
3/4(11)th term
8.25 th term
3 /4 (8 + 49) = 42.75
If F(x) = 4(x-8) + 2, what is the value of F(2)?
Answers
HELP PLS
Which graph represents the equation y = x2-5?
Answers
Are you trying to graph the problem to??
75
Which degree measurement is equivalent to radians?
6
A. 1050
B. 210°
C. 240°
D. 420°
Answers
Answer:
B. 210°
hope it helps
have a nice day
Jordan wants to split up his socks and shoes into groups. If he has 6 pairs of shoes and 14 pairs of socks, how many groups must he create so he has an equal number of pairs of shoes and pairs of socks?
Answers
Answer:
i amm not sure
Step-by-step explanation:
The number of groups Jordan must create so he has an equal number of pairs of shoes and pairs of socks is 2.
What is HCF?The highest common factor (HCF) is discovered by identifying all common factors of two integers and then picking the greatest one. For example, the common factors of 8 and 12 are 1, 2, and 4. The greatest common factor is four.
Jordan wants to split up his socks and shoes into groups. If he has 6 pairs of shoes and 14 pairs of socks. Therefore, she can divide the pair of socks and shoes only into groups of 2, because two is the HCF of 6 and 14.
Hence, the number of groups Jordan must create so he has an equal number of pairs of shoes and pairs of socks is 2.
Learn more about HCF:
https://brainly.com/question/17240111
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Solve the following expression when
x = 7 and y = 2
(y + 2). (x + 4 - 5)
Answers
4 and 23
Explanation:
P
E
M
D
A
S
I will give brainllents If the rectangle below is enlarged using a scale factor of 2.5, what will the area of the new rectangle be?
Group of answer choices
55 in sq
150 in sq
24 in sq
27.5 in sq
Answers
Answer:
answer: 150 in sq
Step-by-step explanation:
All we have to do to these is multiply 2.5 by the base and height then multiply base × height so 2.5 × 8 = 20 2.5 × 3 = 7.5
20 × 7.5 = 150 Hope this helps!
Approximate the distance between (0, -5) and (4, 1) to the nearest tenth, if necessary.
Answers
Answer:
7.7
Step-by-step explanation:
To solve this question we must use Pythagoras (a²+b²=c²) Let those two dots be A and B respectively.Imagine a line is drawn that pases through both dots,
Imagine that the line given is the hypotenuse (the longest side of a right-angled triangle) of a right-angled triangle and the other sides as a line from A going to the right, and a line from B going downwards, making the final vertexes for the triangle at coordinates: 0,-5 4,1 and 4,-5 (the vertex we made). now we find the lengths for the sides: 4 and 6 so we use these to plug them into pythagoras's equation:
4²+6²=c²
24+36=c²
√60=c
c=7.74....
But all we need is until the tenths so the answer is 7.7 (as the hundredths digit, 4, rounds down)
Nadia compares the weights, in grams, of some apples and oranges she find the median abs interquartile range of the weights.
Answers
Answer:
Apple
Orange
Step-by-step explanation:
Apple has the greater median with a median value of 150 which is more than that of orange at 130
The sample with the greater variability is the orange sample as the interquartile range value of 11 is greater Than 8 for Apple.
Yes it is possible, because of the greater variation on weight shown by the sample of oranges, then it could be possible.
What is 2/3-1/2 equal to (fraction form)
Answers
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Hope this helps <3
Answer:
=1/6
Step-by-step explanation:
First of all you have to find the lcm of the two denominators which are, 3 and 2
Lcm of 2 and 3 =6
Then divide 6 by by the denominators and multiply by numerators, which gives you
(4-3) / 6
After solving the above, we then arrive at 1/6 as our answer.
Plzzz help me!
Anthony invested $1000 in a savings account at 2% simple interest. He invested the money for 4 years.
What is the total amount Anthony will have at 4 years?
Answers
Answer:
80
Step-by-step explanation:
find 2 percent of 1000 and times it by 4 the amount of years
Answer:
$1082.43
Step-by-step explanation:
You use the interest formula.
P(1+r/n)^nt
Then plug it in
1000(1+.02)^4
Which comes out to 1082.43
Hope this helps
Brainliest would be appreciated
Anyone know this plsss
Answers
Answer:
I have the same question but with one more number.
anyways-
30 or 15? (i dont know, maybe look at the other answer?)
Step-by-step explanation:
V=135 m^3
Explanation:
You can find volume of a triangular prism by using V=(base•height)
Base is the triangle which you find using 1/2•base of the triangle•height of the triangle. So,
Base = (1/2•6•5)
= 15
Then you multiply this by height of the prism which is 9
15•9= 135
[tex]\frac{3}{4}-\frac{2}{3}[/tex]
Answers
So we’d have
9 - 8
———
12
1
—-
12
e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is performing at the outdoor theater on a summer evening. The band has a school banner that is 40-feet long, and band members would like to hang it across the concession stand to let people know they are performing. Estimate the length of the concession stand to determine if the school banner can fit across the length of the concession stand. Show your work and explain your reasoning.
Answers
Answer:
60 ft long bc that would leave 10ft on each side of the banner...Step-by-step explanation:
Hopes this helps. Mark as brainlest plz!Answer:
Solution given:
length [l]=breadth [b]=40ft
Now
length of concession banner[h]=?
we have
perpendicular [p]=base[B]=40ft
by using Pythagoras law
h²=p²+b²
h²=40²+40²
h=√3200
h=40√2
So
the length of the concession stand to determine if the school banner can fit across the length of the concession stand is 40√2 ft or 56.57ft
PLEASE HELP!!!!!!!!!!!
Answers
Write an equation of the line in slope-intercept form that passes through the point (3, 8) with slope 4?
Answers
Y = mx + b
m = slope, b = y intercept
Given the slope of 4
Y = 4x + b
Plug in the point (3,8)
8 = 4(3) + b
8 = 12 + b, b = -4
Y intercept = -4
Solution: y = 4x - 4
**PLEASE HELP**
Solve the following equation for g: 2(9 - h) = b + 4
Answers
Simplify:
3x2 – 2x + 1 = [?]
x=4
Answers
Answer:
look at the picture i sent........
Which expression is equivalent to –7 –(-2.5)?
Answers
Answer: A) -7 + 2.5
Step-by-step explanation:
- and - makes +, which makes -(-2.5) a +2.5
because there is a double negative it makes 2.5 positive.
due to day help a lot of pionts
Answers
Answer:
6 yd
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Question is in the picture!! Will give brainliest!
Answers
Answer:
value of x = 12
value of y = 8
solve the system by substitution
5x+y=-14
5x- 3y=2
Answers
Answer:
x = -2, y = -4, or (-2, -4).
Step-by-step explanation:
5x + y = -14
5x - 3y = 2
If we look at the first equation, we can see that y can be easily isolated.
5x + y = -14
Subtract 5x from both sides.
y = -5x - 14
Now we have a variable that we can plug into the second equation.
5x - 3y = 2
5x - 3(-5x - 14) = 2
Distribute the -3 across each term in the parentheses.
5x + 15x + 42 = 2
Combine like terms.
20x + 42 = 2
Subtract 42 from both sides.
20x = -40
Divide both sides by 20 to isolate x.
x = -2
Plug in x = -2 back into one of the equations to find y.
y = -5x - 14
y = -5(-2) - 14
Multiply.
y = 10 - 14
Subtract.
y = -4
Our solution is x = -2, y = -4, or (-2, -4).
Check your answer by plugging both values into one of the equations.
5x - 3y = 2
5(-2) - 3(-4) = 2
-10 + 12 = 2
2 = 2
Your answer is correct.
Hope this helps!
f(x) = x^2– 2x + 3; f(x) = –2x + 12
Answers
Answer:
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Sergey is mixing cement, sand, and stone to make concrete. In order to make 8 buckets of concrete, he must use 3 1 4 buckets of sand. If he has plenty of cement and stone, how many buckets of concrete can Sergey make with 9 3 4 buckets of sand?
Answers
So first you beg your mom to seduce your teacher then all you needa do is sit back in that class
simplify (√3+√2) ²
15 points
[tex] \sqrt{(3 + 2) ^{2} } [/tex]
Answers
Step-by-step explanation:
Given :-
(√3+√2)²√{(3+2)²}And we need to simplify the given numbers . We can use a identity in 1st Question as ,
[tex]\implies (a+b)^2=a^2+b^2+2ab[/tex]
Simplifying first :-
[tex]\implies (\sqrt3+\sqrt2)^2\\\\\implies (\sqrt3)^2+(\sqrt2)^2+2.\sqrt3.\sqrt2 \\\\\implies 3+2+2\sqrt6=\boxed{\red{5+\sqrt6 }}[/tex]
Simplifying second :-
[tex]\implies (3+2)^2\\\\\implies 5^2\\\\\implies \boxed{\red{25}}[/tex]
what is the surface area of the cylinder with height 8 ft and radius 3 ft round your answer to the nearest thousand.
Answers
Answer:
207.24
Step-by-step explanation:
[tex]S_{surface} = S_{side} + 2*S_{base} \\S_{side} = 2\pi RH\\ = 2*3.14*3*8=150.72\\S_{base} = \pi R^{2} = 3.14 * 3^{2} = 28.26\\S_{surface} = 150.72 + 2* 28.26 = 207.24[/tex]
Suppose you drop a ball from 120 feet. The ball will bounce to 25 of its previous height. What is the total distance the ball travels from when you let it go to the max height it reaches after the 5th bounce? Round to the nearest tenth.
A) 268.7
B)273.9
C)277.1
D)279.3
Answers
Answer:
277.1 feets
Step-by-step explanation:
Drop height = 120 feets
Ball bounces 2/5 of previous height
Height after 1st bounce :
120 * 2/5 = 48 feets
Return distance = 48 feets
Height after second bounce :
48 * (2/5) = 19.2 feets
Return distance = 19.2 feets
Height after 3rd bounce :
19.2 * (2/5) = 7.68 feets
Return distance = 7.68 feets
Height after 4th bounce :
7.68 * (2/5) = 3.072 feets
Return distance = 3.072 feets
Height after 5th bounce :
3.072 * (2/5) = 1.2288 feets
(120 + (2*48) + (2*19.2) + (2*7.68) + (2*3.072) + 1.2288) = 277.1328
= 277.1 feets
Find the value ot x to the nearest tenth. х 3 9 3
Answers
good luck :)))
What is the value of x?
Answers
Answer:
3
Step-by-step explanation:
What transformation has taken place