Answers
Answer:
side AC =[tex]10\sqrt{3}[/tex] , angle A=30 degree , angle B=60 degree
Step-by-step explanation:
using pythagors theorem
a^2 + b^2 =c^2
here a and b are the legs of the triangle whereas c is hypotenuse so,
10^2 + AC^2 = 20^2
100 + AC^2 = 400
AC^2 =400-100
AC^2 =300
AC=[tex]\sqrt{300}[/tex]
AC=[tex]10\sqrt{3}[/tex]
For angle A
take angle A as reference angle
using sin rule
sin A =opposite/hypotenuse
sin A=[tex]\frac{10}{20}[/tex]
sin A=[tex]\frac{1}{2}[/tex]
A=[tex]sin^{-1} (\frac{1}{2} )[/tex]
A=30 degree
For angle B
angle A + angle B + angle C =180 degree (sum of interior angles of a triangle)
30 + angle B + 90=180
120 + angle B =180
angle B =180-120
angle B =60 degree
Related Questions
What value of x is in the solution set of 3(x-4)>5x+2
Answers
value of x is equally to -7 or -10
In the figure, angle G measures 102° and angle D measures 30°. What is the measurement of angle B?
A. 24°
B. 42°
C. 60°
D. 102°
Answers
Answer:
I hope this helps
Step-by-step explanation:
Please help time is running out!
Answers
Answer:
7,1 and 7,2
Hope it helped!!!
The point (3, 18) is on the parabola y =
ax2. What
is the value of a?
A. 9
B. 2
C. -9
D. -2
Answers
Answer:
[tex]y = {ax}^{2} \\ 18 = (a \times {3}^{2} ) \\ 18 = 9a \\ a = 2[/tex]
The area of the rectangular portion of the window can be represented by the function A(x) = 2x^2 + 10x. The area of the trapezoidal portion can be represented by the function A(t) = 6((x + 15) + (2x + 10)/2). Formulate a function A(w) that can be used to represent the area of the entire window.
A(w) = 9x + 75
A(w) = x(2x + 10)
A(w) = 21x^2 + 75x
A(w) = 2x^2 + 19x + 75
Answers
The function A(w) that can be used to represent the area of the entire window is 2x^2+17x+95.
We have given that,
The area of the rectangular portion of the window can be represented by the function A(x) = 2x^2 + 10x.
The area of the trapezoidal portion can be represented by the function A(t) = 6((x + 15) + (2x + 10)/2).
A(t)=6x+90+x+5
A(t)=7x+95
What is the area of the formula?[tex]Area\ of \ the\ rectangle=Length \times width[/tex]
Therefore the function A(w) that can be used to represent the area of the entire window is
A(W)=A(t)+A(x)
A(W)=7x+95+2x^2 + 10x
A(W)=2x^2+17x+95
The function A(w) that can be used to represent the area of the entire window is 2x^2+17x+95.
To learn more about the rectangle visit:
https://brainly.com/question/25292087
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Please help please explain it step by step please
Answers
Answer:
1. 10 root 3
2.
A=30
B = 60
Step-by-step explanation:
In picture
Two similar solids have radii of 10 in and 16 in.
Find the volume of the larger, if the volume of the smaller is 3000 in
Answers
There are 2 vending
machines in an office
building.
The drink machine is
restocked by Derek every
24 days.
The snack machine is
restocked by Emily every
16 days.
If Derek and Emily met
today, in how many days
will they meet again?
Answers
Answer:
32 days
Step-by-step explanation:
Derek
24 then 48 then 72
Emily
16 then 32 then 48
16 + 16 =32
Answer:
48 days
Step-by-step explanation:
answer is in photo above
find the lowest common multiple of 24 and 16
A rectangle measures 8/3 inches by 9/4 inches. What is its area?
Answers
Answer:
To find the area, you have to multiply the length times the width
Step-by-step explanation:
Answer:
The area of this rectangle is 6 square units.
Step-by-step explanation:
Multiply the width (8/3 inches) by the height (9/4 inches) to get the rectangle area:
8 9
----- * -----
3 4
8 * 9
This results in ---------- which itself reduces to 6.
4 * 3
The area of this rectangle is 6.
Each of the c children at a park will receive at least 3 balloons. If 150 balloons are given out in all, what is the maximum number of children that can go to the park before they run out of balloons?
Answers
Answer:
50 children can go to the park before they run out of balloons.
Step-by-step explanation:
If each child gets 3 balloons each, there will be 50 kids who can go in the park before they run out of balloons. 150 (balloons given out in total) / 3 (number of balloons each child receives) = 50 (number of children who can go into the park before balloons run out.)
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Which of the equations below represents a line perpendicular to the x-axis?
A. X=3
B. X=3y
C. X=y
D. X=-3y
Answers
Answer: A. x = 3
This is a vertical line that goes through 3 on the x axis. Two points on this line are (3,0) and (3,1). Any vertical line is perpendicular to the x axis.
In the diagram, angle E = 59. Find angle F.
Answers
Answer: D) 59°
Step-by-step explanation:
A business had a profit of $42,000 in 1994.
Then its profit decreased by 8% cach ycar
for 6 years. How much did the business
earn in 2000?
Answers
=
−
2
x
+
5
y
=
-
2
x
+
5
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
−
2
-
2
y-intercept:
(
0
,
5
)
(
0
,
5
)
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
Tap for more steps...
x
y
0
5
5
2
0
The difference between 32.6 and a number is 10.2. Which equation can be used to solve this problem?
32.6 minus y = 10.2
y minus 36.2 = 10.2
10.2 minus y = 32.6
y + 32.6 = 10.2
Answers
Answer:
The answer is 10.2-y=32.6 D. y+32.6=10.2
Step-by-step explanation:
Given : The difference between 32.6 and a number is 10.2
Let the number be : y
⇒ 32.6 - y = 10.2
⇒ 32.6 minus y = 10.2
There are 8 girls and 12 boys in Miss Reading's homeroom. Five of the girls play sports and 3 do not play sports. Eight of the boys play sports and 4 do not play sports. If a student is selected at random, what is the probability that the student is a boy or plays sports? Express your answer
as a fraction.
Answers
The answer is 17/20.. sorry for the first answer
If a and b are two distinct rational numbers, then which of the following statements is true?
a+b is always a rational number while a−b is not always a rational number.
Both a+b and a−b are not always rational numbers.
Both a+b and a−b are always rational numbers.
a+b is not always a rational number while a−b is always a rational number.
pls add explanation if possible
Answers
Answer:
Both are rational.
Step-by-step explanation:
As a rational number can be written in the form p/q where p,q are co-prime integers, let a=p1/q1 b=p2/q2.
And we know the product of two integers is an integer
p1q2, p2q1 are integers. And the sum or difference of two integers is rational, rather being specific, it is an integer.
Thus a+b and a-b is rational.
Help what’s the answer ?
Answers
Answer:
c
Step-by-step explanation:
(5x-23)
(7x-1)*
Help me please
Answers
Answer:
(5x-23)° + (7x-1)° = 180°
5x-23 + 7x-1 = 180
12x - 24 = 180
12x = 204
x = 17
.°. (5x-23)° = 62°
& (7x-1)° = 118°
2.) What is the
probability that this
spinner will not
stop at green?
A.) 5/6
B.) 1/6
C.) 12
D.) 1/3
Answers
Answer:
probability would be 5/6.
Can someone help me? It's urgent and thank you!
Answers
Ryan deposited $6,700 into an account at the Town Bank, earning 3.4% interest compounded annually. He made no deposits or withdrawals. Write and solve the equation to find the amount of money in his account after 4 years. Round to the nearest cent.
Answers
Answer: The amount of money in his account after 4 years = $7,658.73
Step-by-step explanation:
If interest is compounded annually, then formula to compute amount :
[tex]A=P(1+r)^n[/tex], where P+ principal value, r= rate of interest, n= time ( in years).
As per given,
P= $6700 , r = 3.4% =0.034, n =4
[tex]A=6700(1+0.034)^4\\\\=6700(1.034)^4\\\\=6700(1.14309455234)\approx7658.73[/tex]
Hence, the amount of money in his account after 4 years = $7,658.73
a tool set is on sale for $280. the original price of the tool set was $400. what percent of the original price is the sale price
Answers
70%
Hope this helps! :)
______________
Answer:
30%
Step-by-step explanation:
400 = 100%
4 = 1%
400 - 280 = 120
120 ÷ 4 = 30
Please help i'm struggling!
Answers
Answer:
37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
1st term -2 + 3= 2nd term 1 + 3= 3rd term 4....... and so on to 14th term, which is 37
IM NOT SMART SO PLZ HELP :) BRAINLIEST WILL BE MARKED
Answers
Step-by-step explanation:
please check the attachment
help plz will mark as brainliest
Answers
Answer:
5
Step-by-step explanation:
since x + 3 is a factor of the polynomial that means -3 is a value of x
substitute x = -3
next see attachment
m to the power of 5 ×m to the power of 6 × n to the power of 11 over m to the power of 3 × n to the power of 5 × n
Answers
Step-by-step explanation:
[tex] \frac{( {m}^{5} \times {m}^{6} \times {n}^{11})}{ {m}^{3} \times {n}^{5} \times n} \\ = \frac{ {m}^{11} \times {n}^{11} }{ {m}^{3} \times {n}^{6} } \\ = {m}^{8} \times {n}^{5} \\ = {m}^{8} {n}^{5} [/tex]
Answer:
[tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]
Step-by-step explanation:
m to the power of 5 = m⁵
m to the power of 6 = m ⁶
n to the power of 3 = n³
n to the power of 11 = n¹¹
[tex]m^5 \times m^6 \times n^{11}[/tex] over [tex]m^3 \times n^5 \times n^1[/tex] = [tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]
Simplified form:
[tex]m^{(5+6-3)} \times n^{(11 - 5- 1)} = m^8 \times n^{6}[/tex]
What is the volume?
Answers
Formula for sphere = 4/3pi radius cubed.
So 4/3 (3.14) 12^3
=4/3(3.14)1728
=(4/3)5425.92
=7234.56
Answer is D.
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Which input value produces the same output value for the two functions on the graph?
x = −1
x = 0
x = 3
x = 4
Answers
First, I would take one of the stated inputs and plug it into the given equation.
Then, I would see what I get and decipher if it matches with any of the two graphs!
Hope this somewhat helps :)
Which of the following points is a solution to the system of inequalities below?
y<2x+1
y≥−3x−4
Answers
Cheryl drew the three shapes shown.
Which term names all three shapes?
A. Rhombus
B. Rectangle
C. Quadrilateral
D. Parallelogram
