A giant right triangular sculpture has two legs with lengths 20 meters and 40 meters. What is the measure of the smallest angle in this sculpture? Round your answer to the nearest degree.
15°
27°
30°
43°
Answers
Answer:
we have the same question
Step-by-step explanation:
please tell me what you got when you receive an answer
Answer:
30 degrees
Step-by-step explanation:
we need to compute angle A and angle B (see figure below)
hence,
[tex]cosA=\frac{20}{40}\\ cosA=\frac{1}{2}[/tex]
this implies that A=60 degrees.
Since interior angles of a triangle add up 180 then,
A+B+90=180
60+B+90=180
B+150=180
B=180-150
B=30 degrees
which is the smallest angle
Related Questions
Choose a system of equations with the same solution as the following system:
6x + 2y = −6
3x − 4y = −18
a) 8x + 4y = −4
17x + 2y = −28
b)12x + 4y = 12
21x + 2y = −36
c) 6x + 8y = −36
15x + 6y = −60
d)6x + y = 15
15x − y = −9
Answers
Answer: A. 8x + 4y = -4
17x + 2y = -28
Step-by-step explanation:
Part D
You now have an equation to model the finances of the car wash. What is the value of the profit when the baseball team washes 0 cars? What point represents the value? What does the y-value of this point mean in terms of the problem?
Answers
Answer:
The equation for the profit made on the car wash is y = 5x – 75. Here, y is the profit made and x is the number of cars washed. So if the team washes 0 cars, x will be 0.
y = 5(0) – 75
y = -75
The point that represents this is (0, -75). Here, the value of the y-coordinate of the point is -75. Since it has a negative sign, it means that instead of making a profit, the team suffers a loss. So, if the baseball team washed no cars, it would lose $75.
Step-by-step explanation:
what is the answer to 7+1+10t
Answers
Answer:
18
Step-by-step explanation:
Little help here guy
Calculate volume
Answers
Answer/Step-by-step explanation:
Problem 1:
Radius = 4.8 cm
Height = 6 cm
Volume of cylinder (V) = πr²h
Plug in the values
V = π*4.8²*6 = 434.29 cm³
Problem 2:
Length of pipe = 26 cm
Internal diameter = 6.5 cm
Thickness = 0.5 cm
Pipe volume (V) = π(R² - r²)h
where,
R = Outer radius = ½(6.5) + 0.5 = 3.75 cm
r = inner radius = ½(6.5) = 3.25 cm
h = height = 26 cm
Plug in the values
V = π(3.75² - 3.25²)*26 = 285.88 cm³
Problem 3:
Volume the cylindrical paint can hold = 2.5 litres = 2.5*1000 = 2,500 cm³
Height (h) = 16 cm
Radius (r) = ??
Volume of cylindrical can (V) = πr²h
Plug in the values
2,500 = π × r² × 16
2,500 = 16π × r²
Divide both sides by 16π
2500/16π = r²
49.7 = r²
Take the square root of both sides
√49.7 = r
r = 7.05 cm (nearest hundredth)
Problem 4:
The section of the guttering is ½ of a cylinder
Diameter = 14 cm = 0.14 m
Radius = ½(0.14) = 0.07 m
Volume = 20 litres = 0.02 m³
Length (h) = ??
Volume of the guttering = ½(volume of cylinder) = ½(πr²h)
Plug in the values
0.02 = ½(π*0.07²*h)
0.02*2 = 0.0049π*h
0.04 = 0.0049π*h
Divide both sides by 0.0049π
0.04/0.0049π = h
2.6 = h (nearest tenth)
Length = 2.6 m
Problem 5:
Height of the smaller cylinder (h) = 13 cm
Radius of the smaller cylinder (r) = ½(7) = 3.5 cm
Volume of smaller cylinder = πr²h = π × 3.5² × 13 = 500.3 cm³
Volume of larger cylinder filled to a height of 5 cm = Volume of smaller cylinder
Thus:
Volume of cylinder filled to height of 5cm = 500.3 cm³
height (h) = 5
radius (r) = ???
Therefore,
500.3 = π × r² × 5
500.3 = 5π × r²
500.3/5π = r²
31.9 = r²
√31.9 = r
r = 5.6 cm (nearest tenth)
Order the numbers from least to greatest
Answers
Answer:
2 then the square root of 7 then 9.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
√7,2,9.5
√7=2.645
So
Order the numbers from least to greatest is
2,√7,9.5 is the answer
Find the probability of guessing correctly at least 6 of the 10 answers on a true-false examination.
Answers
Answer:
24%
i think
Step-by-step explanation:
The difference between a number y and 9 is -34. What is the number?
Answers
Answer:
y-9=34
y=34+9
y= 43
Step-by-step explanation:
please Mark as brainliest
Answer:
y= -25 because if you add -25 to 9 it gives you -34
In this picture B and F are
midpoints.
x=[ ? ]
Answers
Answer: x = 10
see in the picture, ΔACE has:
+) BF//AE
+) B and F are midpoints.
=> BF is the median line of the triangle ACE
=> BF = 1/2. AE
=> AE = 2BF
⇔ 5x - 4 = 2.23 = 46
⇔ 5x = 46 + 4 = 50
⇔ x = 50/5 = 10
Step-by-step explanation:
at 4 pm charlie realizes he has half an hour to get to his grandmother's house for dinner? if his grandmother lives 40 miles away, how fast will charlie have to drive to get there on time?
Answers
Answer:
10 minutes
Step-by-step explanation:
Speed = distance ÷ time, so 40 ÷ 4 = 10
hope this helps :)
Estimate the area of the inregular shape. Explain your method and show your work.
Please help 100 points and brainliest
Answers
From the above coordinates: a = 7 length units, b = 4 length units and h = 5 length units. Therefore, approximate area = [(7+ 4)/2]*5 = 27.5 square units.
Hope it helps.
Solve the equation 4(2x + 1) = 6x - 12
x=-13/2
x = -8
x = 8
X=11/2
Answers
4(2x)+4(1)=6x-12
8x+4=6x-12
2x+4=-12
2x=-16
2x/2=-16/2
x=-8
Find the slope using the formula.
(-2, -9) and (-6, -6)
Answers
m= -9 + 6 / -2 + 6
m= -3 / 4
Which number has a value between -8.423 and -8.395?
A. -8.1
B. -8.75
C. - 8 1/2
D. 8 2/5
Answers
Answer:
Step-by-step explanation:
Jmeu eimejrimr
The number between -8.423 and -8.395 will be - 8 2/5.
What is Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Given that;
Two numbers are,
⇒ - 8.423 and - 8.395
Now,
Since, Two numbers are,
⇒ - 8.423 and - 8.395
Clearly, - 8.1 is greater than - 8.423 and - 8.395.
Hence, It is not between the numbers - 8.423 and - 8.395.
Clearly, - 8.75 is less than - 8.423 and - 8.395.
Hence, It is not between the numbers - 8.423 and - 8.395.
Clearly, - 8 1/2 is less than - 8.423 and - 8.395.
Hence, It is not between the numbers - 8.423 and - 8.395.
Clearly, - 8 2/5 = - 8.4 is in between - 8.423 and - 8.395.
Hence, It is between the numbers - 8.423 and - 8.395.
Thus, The number between -8.423 and -8.395 will be - 8 2/5.
Learn more about the fraction visit:
https://brainly.com/question/28897348
#SPJ6
Convert: 7 pt 1 c = [] c
Answers
Answer:
Pint value is 1 and cup value is 1 pt = 2 c. Sorry if I am wrong!
Step-by-step explanation:
TRUE OR FALSE:
If 2x−5 = 13, then x=4
Answers
Answer:
False
Step-by-step explanation:
Add 5 to isolate varible to get 2x=18. Dived by 2 to get x=9.
15+9/2 leave your answer in fraction
Answers
30/2 + 9/2 = 39/2
What is 4x-5x= x- 20
Answers
Answer: the answer is x=10
Answer: −2x + 20 = 0
Step-by-step explanation:
A soup recipe makes 6 cups. How many people does it serve if each serving is 3/4 of a cup?
6
10
8
4
Answers
6/.75 =8
I hope this helps!!!
Answer: 8
please see below for work!
When x is 4, y is 12. If y varies directly as x, which equation relates x and y?
Answers
Answer:
12/4
Step-by-step explanation:
y varies directly with x basically means y÷x so you will have to divide the variables together. In other words, it basically means y varies proportionally as x
so in this case, it would be 12 divided by 4 resembling that y varies directly as x
can u pls help me with this question
Answers
The recently released iPhone XS Max comes in three different storage sizes: 64GB, 256GB, and 512GB. The price of the 64GB phone is $1,099. If prices were proportional to the phone's storage size, how much would the 256GB phone and the 512GB phone cost
Any help please
Answers
Answer:
iPhone XS Max: $1,249/256GB,
$1,449/512GB
Step-by-step explanation:
Got it !!!
Which steps can be done to both sides of the equation to determine the value of x? 3.2 x - 9.6= 38.4
Answers
Answer:
add both sides ny 9.6 and divide both sides by 3.2, hope this helps!
What is 727.526 in word form
Answers
Answer:
I believe that's a decimal point
Step-by-step explanation:
If yes then,
Seven hundred and twenty seven point five two six
Answer:
727.526 in word form is :Seventy-five thousand seven hundred and twenty-six
Step-by-step explanation:
hope this helps :)
If f(x)=8x+16, then find f-1 (x)
Answers
Point A is at (3, - 8) and point B is at (7, 3)
What is the midpoint of line segment overline AB ?
Please help
Answers
3/8 of the homes have a red door how many homes have a red door
Answers
Answer:
three out of the eight homes have red doors. so 3 homes have red doors
Step-by-step explanation:
are the triangles congruent if so state how they are congruent.
Answers
Answer:
Step-by-step explanation:
They are congruent.
SSS
Leanne runs on the treadmill and rides the exercise bike at the gym to stay in shape. She burns 15 calories per minute on the treadmill and 9 calories per minute on the bike. She wants to ride the bike 2.5 times as long as she runs on the treadmill and burn a total of 580 calories. The system of equations below can be used to find the number of minutes, t, she should run on the treadmill and the number of minutes, b, she should ride the bike.
According to this system of equations, can Leanne meet both her goals?
A.
Yes, she can run on the treadmill for 15 minutes 28 seconds.
B.
No, she cannot ride the exercise bike a negative number of minutes.
C.
Yes, she can ride the exercise bike for 15 minutes 28 seconds.
D.
No, she cannot run on the treadmill for a fractional number of minutes.
Answers
Answer: C
Step-by-step explanation:
step 1: I
step 2: just
step 3: took
step 4: it
final answer: i took the test and got a 100 so its definitely C.
<3
Sasha spent $7.00 of the $20.00 in her wallet. Which decimal represents the fraction of the $20.00 Sasha spent?
Answers
Answer:
0.7
Step-by-step explanation:
Answer:
0.35
Step-by-step explanation:
during a sale, an appliance that costs $275.00 is being sold at a discount for $220.00. which equation can be used to find the size of discount, d during the sale?
Answers
Answer:
20% discount
Step-by-step explanation:
275 - 220 = 55
55/275 = 0.2
The discount is 20%
Answer:
20% discount
Step-by-step explanation:
275 - 220 = 55
55/275 = 0.2
0.2(100)=20
There is a 20% discount.