a building 62 feet tall casts a shadow 21 meters long . at what angle is the sun shining on the building?
9514 1404 393
Answer:
42.0°
Step-by-step explanation:
To compute the angle, we need the measures in compatible units. It can be convenient to convert feet to meters.
Tan = Opposite/Adjacent
tan(angle of elevation) = (building height)/(shadow length)
angle of elevation = arctan((62 ft)(0.3048 m/ft)/21 m) = arctan(18.8976/21)
angle of elevation ≈ 41.984°
The angle of elevation of the sun is about 42.0°.
Answer:
71.29
Step-by-step explanation:
What is the value of a? Round to the nearest tenth
Need help fast!!
Answer:
15.3
Step-by-step explanation:
tan(42) =a/17
a=tan(42)*17
help me w this questions, i’ll give extra points!
Answer:
5
Step-by-step explanation:
5 × 5 × 5= 125 so 5 is the cube root
Answer:
5Step-by-step explanation:
I have this information memorized. The cube root of 125 is simply 5, because 5 x 5 x 5 = 125.
So your answer is 5.
(btw I'm actually 10 years old... I'm not kidding.)
Belle operates a
lemonade stand during
the summer. It costs her
$0.18 to make each cup.
She sells each cup for
$0.75. Which expression
could be used to
calculate the amount of
profits she earns from
selling "on" cups?
0.18n-0.75n
0.75n-0.18n
0.75n+0.18n
0.18n-0.75n
PLEASE HELP ME FAST!
What is the probability of rolling a 3 on a six-sided cube AND rolling a 6 on a six-sided cube?
ob
Answer:
The probability of not rolling a 5 AND not spinning a 5 is (5/6)*(4/5)=20/30
Step-by-step explanation:
These are independent events.
The probability of rolling a 5 is 1/6.
The probability of spinning a 5 is 1/5.
The probability of rolling a 5 or spinning a 5 is 1/5+1/6=11/30 but you have to subtract 1/30 because you can roll a 5 and spin a 5 at the same time. Therefore 11/30-1/30=10/30=1/3.
There are 30 outcomes. Roll first then spin to get the following outcomes:
11,12,13,14,15,21,22,23,24,25,31,32,33,34,35,41,42,43,44,45,51,52,53,54,55,61,62,63,64,65
You want to roll a 5 OR spin a 5. How many combinations have a 5 ? 10 combinations have a 5.
(you don't count 55 twice) There are 10 combinations with a 5 out of a possible 30 combinations.
Another way of looking at the problem is the following:What is the probability of NOT rolling a 5 AND NOT spinning a 5 ?
The probability of not rolling a 5 AND not spinning a 5 is (5/6)*(4/5)=20/30. Therefore the probability of rolling a 5 or spinning a 5 is 1-20/30=10/30.
Answer:
16.7%
Step-by-step explanation:
There are 6 sides and one three on the cube so rolling a three would be 1/6. To roll a 6 on a 6 sized dice would be the same there’s 6 sides and one 6 so it would be 1/6
Khloe invests money in an account paying a simple interest of 7% per year. If she invests $140 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?
Answer:
$149.80Step-by-step explanation:
It is going to be:
$140 + 7% of $140 =$140 + $140*0.07 = $140*1.07 =$149.80You borrow $1600 to buy a living room set. The simple interest rate is 9%. You pay off the loan after 3 years. How much do you pay for the loan?
where did you get 36
Answer:
none did it
Step-by-step explanation:
i need help simplifying these radicals. someone please help!!
First one: [tex]60\sqrt{7}[/tex]
Second one: [tex]160\sqrt{3}[/tex]
[tex]12 \sqrt{175} [/tex]
[tex] \sqrt{175 \times {12}^{2} } [/tex]
[tex] \sqrt{175 \times 144} [/tex]
[tex] \sqrt{25200} [/tex]
//
[tex]16 \sqrt{300} [/tex]
[tex] \sqrt{300 \times {16}^{2} } [/tex]
[tex] \sqrt{300 \times 256} [/tex]
[tex] \sqrt{76800} [/tex]
Which expression is equivalent to x2 – 26x + 120?
Answer:
(x-20) (x-6)
Step-by-step explanation:
=>x^2-26x+120
=>x^2-20x-6x+120
=>x(x-20)-6(x-20)
=>(x-20)(x-6)
. Liliana is renting a beach house for a family vacation. The house charges a $75 cleaning fee plus $95 per night. If Liliana wants to spend a maximum of $645 on the rental, which inequality represents “n”, the number of nights can she afford to rent the beach house?
Answer:
6 nights
Step-by-step explanation:
Set up your equation:
645=95n+75
then subtract the cleaning fee from the total to remove it from both sides
570=95n
then divid the remaining budget by the $95 per night charge
570/95= n =6
Meaning that she can afford 6 nights in the beach house at that price
I need help on this. Please help me.
Answer:
c
Step-by-step explanation:
When using the given diagram to determine the area of the pentagon by decomposition, which statements are correct?:
Answer choices:
(A) Area of ∆ABC = 84 in²
(B) Area of ∆ABC = 42 in²
(C) Area of trapezoid = 1/2(14 ÷ 10)8
(D) The area of the pentagon is 180 in²
(E) The area of the pentagon is 138 in²
APPLY TO ALL THAT IS TRUE
Answer:
Options (B) and (E)
Step-by-step explanation:
Area of ΔABC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(14)(6)[/tex]
= 42 in²
Area of trapezoid ADEC = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
[Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides and 'h' is the height of the isosceles trapezoid given]
= [tex]\frac{1}{2}(10+14)(8)[/tex]
= 96 in²
Area of the pentagon = Area of triangle ABC + Area of trapezoid ADEC
= 42 + 96
= 138 in²
Therefore, Options (B) and (E) are the correct options.
Simplify
3x + 1-4x + 4
Answer:m a t h w a y
Step-by-step explanation:
Answer:-x+5
Step-by-step explanation:
b(b-5)²
what is the answer?
Answer:
b(b^2_10b+25) =b^3_10b^2+25b
{WILL GIVE BRAINLIEST!}
Which of the following figures has an area that is closest to 66 square centimeters (cm2)?
A) a circle with a diameter of 21.0 cm
B) a circle with a radius of 21.0 cm
C) circle with a radius of 4.6 cm
D) a circle with a radius of 2.6 cm
Answer:
option b a circle with a radius of 21.0 CM
The cylinder shown has a diameter of 11 inches. Find the volume of the cylinder. Round your solution to the nearest tenth. help pls.
#4
Answer:
The answer is 2423.35 (Not rounded)
Step-by-step explanation:
This is the formula that I used.
V=πr2h
Volume = π·5.52·25.5 ≈ 2423.34603
solve the answer below
first to get the answer right gets brainlyist
Answer:
undefined
Step-by-step explanation:
Answer:
x= -3
Step-by-step explanation:
hope this helps
hudson pick 1 1/4 baskets of apple suzy pick 2 basket of apple how muck more basket apple did suzy pick than hudson.
Answer:
3/4
Step-by-step explanation:
Hudson = 1 1/4 baskets
Suzy = 2 baskets
How much more apple Suzy picked than Hudson :
Suzy - Hudson
2 - 1 1/4
2 - 5/4
L. C. M = 4
(8 - 5) / 4
3 /4 apples
Suzy picked 3/4 more apples Than Hudson
Factor the following polynomial completely
2b^3 −18b
If the solution to an inequality is t≤7.4 , which of the numbers below would be part of the solution?
Answer:
4.7, 5.1 and 7.4
Step-by-step explanation:
Given
[tex]t \le 7.4[/tex]
Required
Select numbers part of the solution
O 4.7 O 5.1 O 7.4 O 8.2 O 9.6
[tex]t \le 7.4[/tex] implies that, the value of t cannot exceed 7.4.
So, we have:
4.7, 5.1 and 7.4 in this range
However, 8,2 and 9,6 do not belong to this range
Find the difference for 74.039 - 7.34
show work please <3.
Answer:
66.699
Step-by-step explanation:
74.039
- 7.340
-----------
66.699
9 - 0 = 9
13 - 4 = 9
the ten becomes a 9 because you borrow 1
9 - 3 = 6
13 - 7 = 6
you borrowed from the 4 before, so it is 13, not 14
since you borrowed from the 7, it becomes a 6 now.
Last weekend, Mrs. Raymond went out to dinner with her husband. Their bill
came to $73. They had good service, so they wanted to leave an 18%
tip. How munch money will the server get? How much will they pay all
together? Show your work.
Answer:
Tip: $13.14
Total cost: $86.14
Step-by-step explanation:
Bill: $73.00
18% of 73: 1% of 73 = 0.73
0.73 x 18 = 13.14
Tip: $13.14
Total cost:
73.00 + 13.14 = $86.14
Help me please and thank you
Answer:
x = 20
y = 10
m∡8 = 110°
Step-by-step explanation:
m∡1 + m∡2 = 180
5x + y + 3x + y = 180
8x + 2y = 180
m∡1 = m∡8 (they are alternate-exterior angles and are congruent)
5x + y = 3x + 5y
2x = 4y
x = 2y
Substitute '2y' for 'x' in 8x + 2y = 180
8(2y) + 2y = 180
18y = 180
y = 10
x = 2(10)
x = 20
m∡8 = 3(20) + 5(10) = 110°
Please I don't understand this
Answer:
D
Step-by-step explanation:
To find volume: V = πr2h
V≈296.88
rounded: 296.9, but your answer would be the last one, D
4.2x-1.4y= 2.1 what is Y plz i need help and i don't understand
Answer:
y = -1.5 + 3x
Step-by-step explanation
I'm sorry but I have no time, can someone comment me and explain? Thank you :)
Answer: y = -1.4(2.1 - 4.2x)
Step-by-step explanation:
4.2x - 1.4y = 2.1
Firstly you should move 4.2x over (by subtraction) so the new equation is:
-1.4y = 2.1 - 4.2x
Then you want to multiply everything by -1.4 to take it away from the y side. This will bring you to:
y = -1.4(2.1 - 4.2x)
This can be simplified down to
y = -2.94 + 5.88x
or
5.88x -2.94 = y
The function d=16t^2 models the distance d, in feet, that an object falls in t seconds. Find the inverse function and use the inverse function to estimate the time it takes an object to fall 100 feet.
Answer:
Step-by-step explanation:
d = 16t^2
t^2 = d/16
t = 0.25√d
When d = 100 ft, t = 2.5 seconds
.........................
Answer:
a=180-79
a=101
c=83 (vertically opposite angles)
d=c (corresponding angles)
d=83
b=a(corresponding angles)
b=101
Hope it helps
n plzz mark meh da brainliest
Answer: a=101 b=79 c=83 d=97
Step-by-step explanation:
A: angles on a straight line add up to 180° so you would take away 79° from 180° which is 101°.
B: angles on a parallel lines are always the same, you can see that 79 is at the same position as b.
C: opposite angles are always the same so it would still be 83°.
D: d is on other side as c and this would add up to 180° so as we already know that c is 83° you would have to take away 83° from 180° to get d.
if the area of square 3 is 80 cm squared and square 2 is 100 cm squared what is the area of square 1
soy uncarack diijrjrrrrrrrrrrrrrrrrrrrrrre
Given: AB with coordinates of AC-3, -1) and B(2, 1)
A'B' with coordinates of A'(-1, 2) and B'(4,4).
What translation was used?
Answer:
up 2, right 3
Step-by-step explanation:
up 2, to the right 3.
The translation was 2 units right and 3 units up.
As per the given data:
We are given AB with the coordinates as, A(-3, -1) and B(2, 1).
After translation, AB becomes A'B' with A'(-1, 2) and B'(4, 4).
We can find out the translation by finding out the change in the corresponding coordinates.
For A to A':
Change in x coordinate = -1 - (-3) = -1 + 3 = 2
Change in y coordinate = 2 - (-1) = 2 + 1 = 3
Increase in x coordinate of 2 units = 2 units right.
Increase in y coordinate of 3 units = 3 units up
Hence, the translation was 2 units right and 3 units up.
To learn more about Coordinate Geometry, click:
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