Solve the triangle in the figure.
Question options:
A)
BC = 9; m∠A = 53.1°; m∠B = 6.9°; m∠C = 90°
B)
BC = 11; m∠A = 42.8°; m∠B = 47.2°; m∠C = 90°
C)
BC = 19; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°
D)
BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°
Answers
Answer:
D)
BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°
Step-by-step explanation:
15²-12² = 9²
BC = 9
sin B = 12/15 = 0.8
∠B = 53.1°
The solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
The triangle ABC is a right triangle. The new path is in front of the right angle, therefore it is the hypotenuse. To find the length of the hypotenuse we use the Pythagorean theorem:
H² = P² + B²
The length BC will be calculated as below:-
15²-12² = 9²
BC = 9
The angle B will be calculated as below:-
sin B = 12/15 = 0.8
∠B = 53.1°
Therefore, the solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.
To know more about the Pythagorean theorem follow
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Related Questions
What expression is equivalent to (x+5)2-(x-3)(x+5).
Answers
Answer:
The answer is -x^2+25
PLEASE MARK BRANLIEST
Step-by-step explanation:
Answer:
-x^2+5
Step-by-step explanation:
i didnt quite understand the question but this is the equation simplified
Help me please find x for this triangle!!!!
Answers
Answer:
x=30
Step-by-step explanation:
Since the measure of an exterior angle is equal to the sum of any two angles in a triangle, the equation would be 4x-18=2x+6+36. Solve this, and we get x=30.
Hope this helped!
17+36=z-37 what is z
Answers
Answer:
The correct answer is 90
Step-by-step explanation:
17 + 36= z- 37 ADD 17 AND 36
53= z-37 BRING 37 OVER TO 53 AND ADD
z = 90 FINAL ANSWER
Miguel has a garden that has an area of 300 square feet. If the corn in his garden covers 160 square feet, what percent of the garden is corn?
Im not sure of my answer but I got 5.33 and the 3 repeats
Answers
Answer:
Im sorry if I'm wrong but I think it's 300+160=460
Answer:
yes your correct but wrong
Step-by-step explanation:
To find the area that's covered in corn you need to first write your fraction.
160/300
After you do that you have to turn it into a decimal.
.53333...
After that you need to turn it into a percent so your final answer will be....
53.333...%
BTW try looking to see if you need to round, normally it tells you to do that
Show that the two triangles given beside are similar and calculate the lengths of sides PQ and PR.
Answers
9514 1404 393
Answer:
ΔABC ~ ΔPQRPQ = 8PR = 14Step-by-step explanation:
Angles A and P are marked congruent; angles B and Q are marked congruent, so the triangles are similar by the AA similarity postulate. The similarity statement can be written ...
ΔABC ~ ΔPQR by AA similarity
__
The ratio of sides of PQR to ABC is the ratio QR/BC = 12/6 = 2. That is, each side in the larger triangle is 2 times the length of the corresponding smaller side.
PQ = 2·AB = 2·4 = 8
PR = 2·AC = 2·7 = 14
The side lengths of interest are ...
PQ = 8, PR = 14
Write the word sentence as an equation. Then solve the equation. The quotient of a number and $-1.5$ is $21$ . Equation: Question 2 Solution: $x=$
Answers
Answer:
b
Step-by-step explanation:
Find the value of each varlable.
11. X
10
45
у
Answers
Answer:
X=10
sin45=10/y
0.707106781186×y=10
y=14.14213562373
2)the left angle=180-(90+60)
=180-150
=30
sin30=X/32
0.5×32=X
X=16
sin60=y/32
0.866025403784×32=y
y=27.71281292110
(round those numbers)
Find the value of x.
Answers
Answer:
x = 35°
Step-by-step explanation:
These two angles are alternate angles so they both are equal.
5x - 54 = 3x + 16
5x - 3x = 16 + 54
2x = 70
x = 70 ÷ 2
x = 35°
. Andre drinks 15 ounces of water, which is 3 5 of a bottle. How much does the bottle hold? Use x for the number of ounces of water the bottle hold
Answers
Answer:
25
Step-by-step explanation:
Andrea drinks 15 ounces of ater
It is 3/5 of the bottle
Therefore the amount which the bottle will hold can be calculated as follows
= 15 ÷ 3/5
= 15 × 5/3
= 75/3
= 25
Hence the bottle will hold 25 ounces of water
00:00 Is the relation shown below a function? Use the graph and justify your answer (0, 0), (2.0), (2, 2), (3, 4) and (6,6) y 9 8 7 6 on 4 3 2 1 х 0 0 1 2 3 4 5 6 7 8 9 00:00 Yes, each x-value has a unique y-value 00:00
Answers
No; Two points have different y-values for the same x-value of 2.
Step-by-step explanation:
Solve for X
a) 6
b) 11
c) 0
d) 12
Answers
Step-by-step explanation:
2x + 210 + x + 75 = 180
3x = - 105
x = - 35
what????
Tim is 5 pounds heavier than Amy. Let Amy's weight will be x pounds
A) Express Tim's weight in terms of x
b) if Tim's weight is 126 pounds, what is Amy's weight?
(show you work)
Answers
Answer:
A) x+5
B) 121
Step-by-step explanation:
A) If Tim is 5 pounds heavier than Amy, an equation for this situation can be modeled by x+5, where Amy is x pounds.
B) If Tim is 126 pounds, then Amy's weight is 126-5=121 pounds.
if x varies directly as y, and y=6 when x=27, find x when y=2
Answers
Answer:
x = 9
Step-by-step explanation:
Given y varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition y = 6 when x = 27
27 = 6k ( divide both sides by 6 )
4.5 = k
x = 4.5y ← equation of variation
When y = 2 , then
x = 4.5 × 2 = 9
Find a and b please fasttt
Answers
Answer:
Step-by-step explanation:
to find the angle A
360-230=130
angle B=180-130=50
Find the distance between the pair of points.
(6, 6) and (6, −2)
The distance between the pair of points is units.
Answers
Answer:
(6-6)+(6-2)=0+4
sqr(4)^2=4
ZB=
Round your answer to the nearest hundredth.
B
?
5
2
С
А
Answers
Answer:
angle B = 66.42
Step-by-step explanation:
cos-1 B = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos-1 B = [tex]\frac{2}{5}[/tex]
cos-1 B = 0.40
cos-1 of 0.40 is 66.4218
round to the nearest hundreth = 66.42
angle b = 66.42
What would be the first step in solving the equation 7/9x + 34 = 174?
Answers
Answer:
[tex] \frac{7}{9} x + 34 = 174 \\ => \frac{7x}{9} = 174 - 34 \\ = > \frac{7x}{9} = 140 \\ = > 7x = 140 \times 9 \\ = > 7x = 1260 \\ = > x = \frac{1260}{7} = 180 \\ { \huge{ \pink{x = 180}}}[/tex]
❤️❣️❤️1. In a recent wind storm a large tree broke and made a 58° angle
between the two parts of the trunk. Which length below
is closest to the total length of the tree before the storm?
58°
14 ft
Answers
*see attachement for diagram
Answer:
40.4 ft
Step-by-step explanation:
Let the part that broke away be represented as "x"
Thus, the digram makes a right triangle shape.
The closest total length of tree before the storm = x + 14 ft
Apply trigonometric function to find x.
Reference angle = 58°
Side adjacent to reference angle = 14 ft
Hypotenuse = x
Apply CAH, which is:
Cos 58 = adj/hyp
Cos 58 = 14/x
x * Cos 58 = 14
x = 14/Cos 58
x = 26.4191188 ≈ 26.4 ft
✔️closest total length of tree before the storm = x + 14 ft = 26.4 + 14 = 40.4 ft
A company rents out 15 food booths and 23 game booths at the county fair. The fee for a food booth is $125 plus $7 per day. The fee for a game booth is $65 plus $5 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answers
Answer:
3,370 + 220d
Step-by-step explanation:
Food booth = 15
Game booth = 23
The fair lasts for d days
Cost of a food booth = 125 + 7d
Total cost of food booth = 15(125 + 7d)
= 1875 + 105d
Cost of a game booth = 65 + 5d
Total cost of game booth = 23(65 + 5d)
= 1495 + 115d
Total amount paid to the company = Total cost of food booth + Total cost of game booth
= (1875 + 105d) + (1495 + 115d)
= 1875 + 105d + 1495 + 115d
= 3,370 + 220d
Andrew bought a math book to study for $30. Later that book was marked down 37.5 and a sales tax rate of 7 percent was included. What is the markdown amount and the sales tax amount?
Answers
Answer:
$11.25$1.31Step-by-step explanation:
Initial price = $30Mark down = 37.5%Sales tax = 7%The markdown amount is:
$30*37.5/100 = $11.25The markdown price is:
$30 - $11.25 = $18.75The sales tax amount is:
$18.75*7/100 = $1.31 (rounded to the nearest cent)Answer:
Marked down amount = $11.25
Sales tax amount = $1.31
Explanation:
The initial amount Andrew bought the book was $30.
If the book was later marked down by 37.5%, therefore the marked down will be;
[tex] \frac{37.5}{100} \times 30 = 0.375 \times 30 = 11.25[/tex]
The marked down price will be;
[tex]30 - 11.25 = 18.75[/tex]
If the sales tax rate was 7%, the sales tax amount will be;
[tex] \frac{7}{100} \times 18.75 = 1.31[/tex]
what is the answer for 9k^2=225
Answers
9k² = 225
k² = 225 : 9
k² = 25
k = -5 and k = 5 because :
(-5)² = (-5) * (-5) = 25
5² = 5 * 5 = 25
2 + 14 + 2 − 12 = -4
Answers
Answer:
The answer is actually 6.
Answer:
no, it's 6.
Step-by-step explanation:
Anna put $500 into a savings account and made no more deposits or withdrawals. The account earns 2% simple interest per year. How much money will be in the account after 5 years?
Answers
Answer:
50
Step-by-step explanation:
What I did was 2 divided by 100 = 0.02 Then multiply 0.02 times 500 and you should get 10 then multiply by how many years of interest and you get 50
hope this helped!Pease help Marking Brainiest
Answers
Answer:
150 miles
Step-by-step explanation:
x = 30y
5 inches x 30 = 150 miles
At a taffy pull, George stretched the taffy to 3 feet. Jose stretched it 1_ 1 3 times as far as George. Maria stretched it _ 2 3 as far as George. Sally stretched it _ 6 6 as far. Who stretched it the farthest? The least?
Answers
Answer:
Jose stretched the taffy the farthest and Maria stretched it the least
Step-by-step explanation:
Distance stretched by George = 3 feet
Distance stretched by Jose is [tex]1\dfrac{1}{3}[/tex] times as much as George so
[tex]3\times 1\dfrac{1}{3}=3\times\dfrac{4}{3}=4\ \text{feet}[/tex]
Distance stretched by Jose is [tex]4\ \text{feet}[/tex]
Maria streched the taffy [tex]\dfrac{2}{3}[/tex] times as George
[tex]3\times \dfrac{2}{3}=2\ \text{feet}[/tex]
Maria stretched the taffy by [tex]2\ \text{feet}[/tex]
Sally stretched it [tex]\dfrac{6}{6}[/tex] so [tex]1\ \text{feet}[/tex]
So, Jose stretched the taffy the farthest and Maria stretched it the least.
Find the volume of the cylinder
Answers
Answer:
157
Step-by-step explanation:
Below are the lengths (in meters) of Luiza's eight drives from the last time that she played golf. 213, 147, 156, 177, 130, 23, 78, 184 Using the data, create a histogram.
Answers
Answer:
Step-by-step explanation:
Given the data:
213
147
156
177
130
23
78
184
Histogram representing the data is attached below :
The histogram has three bins with a bin size of 80
Range _____ frequency
20 - 100 _____ 2
100 - 180 _____4
180 - 260 _____2
Answer:
Step-by-step explanation:
hope this helps!
Find the value of x.
Answers
Answer: x = I’m not doing that
Step-by-step explanation:
Write the equation for each table
Answers
Answer:
Step-by-step explanation:
First table:(left)
(1, 15) (2, 30)
(30 - 15)/(2 - 1) = 15/1 = 15
y - 15 = 15(x - 1)
y - 15 = 15x - 15
y = 15x
Second table:(right)
(0, 10) (1, 25)
(25 - 10)/(1 - 0)= 15/1= 15
y - 10 = 15(x - 0)
y - 10 = 15x - 0
y = 15x + 10
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Answers
Answer:
- [tex]3x^{2}[/tex] - 40x - 100
Step-by-step explanation:
f (x ) . g ( x )
( 3x - 10 ) ( 10 - x )
30x - [tex]3x^{2}[/tex] - 100 + 10x
Simplify the like terms.
40x - 100 - [tex]3x^{2}[/tex]
= - [tex]3x^{2}[/tex] - 40x - 100
Answer:
your answer is D