Answer:
40 m
Step-by-step explanation:
8/12=x/60
x=(8*60)/12
x=40
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The height of the building when it cast a shadow of 60 meters is 40 m.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
As it is given that the height of the pole is 8m, while the shadow cast by the pole is 12 m. If we use the ratio of trigonometry then the height of the building can be written as,
[tex]\rm Tan(\theta)= \dfrac{\text{Height of the pole}}{\text{Shadow of the pole}}= \dfrac{\text{Height of the building}}{\text{Shadow of the pole}}[/tex]
[tex]\dfrac{8}{12}= \dfrac{\text{Height of the building}}{\text{60}}\\\\\dfrac{8 \times 60}{12}= {\text{Height of the building}}\\\\\text{Height of the building}=40\ \rm m[/tex]
Hence, the height of the building when it cast a shadow of 60 meters is 40 m.
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
5. Write 2/3 and 3/4 as equivalent fractions using a common denominator.
Answer:
8/12, 9/12
Step-by-step explanation:
2/3 = 8/12
3/4 = 9/12
hellllllp asap!!!!!!!!!!
Answer:
the answer should be 5.1
Step-by-step explanation:
explain why 51.2 divided by 6.4 has the same value as 5.12 / 0.64
PLZZZ HELP ASAP THANKS
Answer:
11.1%
Step-by-step explanation:
percentage decrease is calculated as
[tex]\frac{decrease}{original}[/tex] × 100%
decrease = 18 - 16 = 2 , then
percent decrease = [tex]\frac{2}{18}[/tex] × 100% = 11.1% ( to the nearest tenth )
A NO PASSING ZONE road sign has the shape of an
isosceles triangle with angle measures shown. Write
and solve an equation to determine the value of x.
Round to the nearest tenth.
(3.25x)"
NO
PASSING
ZONE
*50*
X=
Answer:
15.38
Step-by-step explanation:
two angles are equal
3.25x=50
x= 15.38461538461
Calcular la magnitud de la velocidad angular y el período de
una rueda que gira con una frecuencia de 1200 rpm.
Answer:
The magnitude of the angular velocity is 125.66 rad / s and the period is 0.05 seconds.
Step-by-step explanation:
The computation of the magnitude and the period is given below:
First we determine the angular velocity that transforming the revolutions per minute,
So,
ω = (1200 rev / min) × (2π rad / rev) × (1 min / 60s)
ω = 125.66 rad / s
Now, the period is
ω = 2π ÷ T
T = 2π ÷ (125.66 rad / s)
T = 0.05 s
Hence, the angular velocity has a value of 125.66 rad / s and the period is 0.05 seconds.
SOMEONE HELP ME PLS
Find the indicated angle. (What is ?)
Help me fast please
Answer:
81.57 cm
Step-by-step explanation:
divide the actual length by 100 =27.19
times 27.19 by 3= 81.57 cm hope this helps, have a nice day :)
Una fabrica produce caravanas las envasa en bolsitas de un par cada dos bolsitas usa una cajita azul cada do cajitas azules usa una naranja cada dos cajas naranjas usa una verde si fabrica 500 caravanas cuantas bolsitas cuantas cajitas azuñes cuantas cajas naranjas y cuantas cajas verdes usa
Answer:
Se utilizan 31 cajas verdes y 62 cajas naranjas, 125 cajas azules y 250 bolsas
Step-by-step explanation:
La pregunta es un problema verbal
Los parámetros dados son;
El número de caravanas por bolsa = 2 caravanas
El número de bolsas en una caja azul = 2 bolsas
El número de cajas azules en una caja naranja = 2 cajas azules
El número de cajas naranjas en una caja verde = 2 cajas naranjas
Por lo tanto;
El número de caravanas en una caja azul = 2 bolsas = 2 pares = 4 caravanas
El número de caravanas en una caja naranja = 2 × 4 caravanas = 8 caravanas
El número de caravanas en una caja verde = 2 × 8 caravanas = 16 caravanas
Por tanto, si la fábrica fabrica 500 caravanas, tenemos;
El número de casillas verdes utilizadas = 500/16 = 31,25 = 31 casillas verdes
El número de cajas naranjas utilizadas = 500/8 = 62 cajas naranjas
El número de cajas azules utilizadas = 500/4 = 125 cajas azules
El número de bolsas utilizadas = 500/2 = 250 bolsas
What is (5, 10) reflected over the x-axis
Answer:
(5,-10)
Step-by-step explanation:
(5,-10) is reflected over the x-axis from (5,10)
Adding and subtracting decimals word problems
Answer:
he pays 3$ less with his card
heart or brain if this helps!
Since we know that Melvin pays 1,679 dollars per liter and 1,439 dollars per liter using the loyalty card.
To solve this problem, we need to subtract 1,439 from 1,679. We get:
1,679 – 1,439 = 240
We get the final answer as: $240 or 240 dollars.
Hope this helps :)
an employee puts 5000 in a retirement account that offers 9% interest compounded annually. the employee makes no additional deposits or withdrawals. which amount is closest to the interest the employee will have earned at the end of 5 years?
Answer:
(J) 2,693.12
Step-by-step explanation:
Gregory has $50. He earned
it by getting $20 for mowing
his lawn and $5 from the
tooth fairy for each tooth he's
lost.
Answer:
are you asking how much he saved? i'm confused.
because if he earned 20 by saving and 5 from his tooth - that's only 25$!
where did the other 25 come from??? was it from his savings?
A family of 4 is going to the movie theater. They have coupons which mean that each ticket is $2 off the original price. Because of the coupons, they only pay $40 in total.
How much did each ticket cost originally (BEFORE the coupons)?
Answer:
$12
Step-by-step explanation:
$40/4 = $10 Final price of each ticket
$10 + $2 (coupon) = $12 Original price of each ticket
please help due todayyyy://
Answer:
B. a graph that shows the demand for a product at a single price point
Step-by-step explanation:
Hope it helps
#CarryOnLearning
Assume that y varies inversely as x. If y = 16 when x = 4, find y when x = 6.
seven and twenty seven hundredths as a decimal
Answer:
7.27
Step-by-step explanation:
edge 2020
p.s. pls mark brainliest, and have a good day! :)
EXTREMELY IMPORTANT HELP ME
Reason corp just issued a series of 24 year maturity bonds with a oar value of 1000 and a 5 % coupon, paid semianually the bonds can sell in the open market for 1175. Flotation costs on the new bonds
Answer:
the rate is 4.36%
Step-by-step explanation:
The computation of the pre tax cost of debt is shown below:
Given that
NPER = 24 × 2 = 48
FV = $1,000
PMT = $1,000 ×5% ÷ 2 = $25
FV = $1,175 - $80
= $1,095
The formula is shown below:
= RATE(NPER;PMT;-PV;FV;TYP
After applying the above formula, the rate is 4.36%
PLEASE HELPPPPPPPP ASAP I WILL GIVE BRAINLIEST I WILL GIVE BRAINLIEST!!! NO LINKS PLEASE AND IF YOU DON"T KNOW, DONT ANSWER
A rectangular inflatable swimming pool is 245 yards long, 2 yards wide, and 35 yard tall. What is the volume of the pool? Round to the nearest tenth.
A. 3.4 yd3
C. 17.0 yd3
B. 5.4 yd3
D. 22.0 yd3
Answer:
3.36 sq. yards. multiply 2.8 times 2 times .6 and that gives you your answer
Answer:
v= length × width × height
v= 245×2×35
BESTIES KINDA FAILING AT SCHOOL RN NEED YOUR HELP ASAP
Answer:
well this one is kind of obvious and you don't have to do any actual math with it. I'm 99% sure that when you have the two sets of coordinates you can find the slope. so the answer would be A. :)
Step-by-step explanation:
Please Help me out I just need the answers and pls make sure they are right idrc for an explantion
1. 215.10
2. 57.60
3. 16.11
4. 8.24
5. 89.40
6. 149.10
7. 476
8. 48
9. 59.50
10. 13.49
When heat energy is increased for a substance the ______?
HELP!!
Answer:
molecules speed up
Step-by-step explanation:
temperature has a strong affect of the movement of molecules
What would be the coordinates of Point D to complete square ABCD? Ay B 2. A Х -2 o 2. 2. С (2.2) (2, 2) (-2,2 (2-2)
Answer:
D: which is (2, -2)Step-by-step explanation:
Find the value of h for the parallelogram to the right
Solve for x and then find the measure of
Answer:
x = 11
∠B = 80°
Step-by-step explanation:
∠A =∠B because they are corresponding angles
8x - 8 = 5x + 25
3x = 33
divide both sides of the equation by 3:
x = 11
∠B = 5(11) + 25 = 80°
Can anyone answer this
Answer:
31.8
Step-by-step explanation:
Le cratère d’un volcan a la forme d’un cône ; le fond du cratère est comblé de sédiments, un lac constitue la partie supérieure.
1) Le cône rempli de sédiments est une
réduction du grand cône. Calculer le
coefficient de réduction. DEJA REPONDU
2) Calculer le volume du cratère. DEJA REPONDU; le volume fait 2661845 m
3) En déduire le volume des sédiments.
4) Quel est le volume d’eau dans ce lac ?
What's length RD? _ m
What's length DM? _ m
What's length RM? _ m
What's the perimeter of the triangle? _ m
Answer:
10
23
36
Step-by-step explanation:
Cecily's teacher held a raffle. To win the raffle, a student has to pick a paper scroll with an integer written on it. The chart shows the scrolls picked by Cecily and her friends.
Complete question :
Cecily’s teacher held a raffle. To win the raffle, a student has to pick a paper scroll with an integer written on it. The chart shows the scrolls picked by Cecily and her friends.
Name
Paper Scroll
Cecily
A scroll labeled 6.7.
Marty
A scroll labeled negative 37.
Jon
A scroll labeled StartFraction 7 Over 9 EndFraction
Fiona
A scroll labeled 3 and one-third.
Who picked the winning scroll?
Cecily picked the winning scroll.
Marty picked the winning scroll.
Jon picked the winning scroll.
Fiona picked the winning scroll.
Answer:
Marty picked the winning scroll.
Step-by-step explanation:
Based on the rule given in other to win, the winning scroll is that which has integer value written on it.
An integer simply means a number devoid of fraction. Hence, it could be a positive or negative while number.
Given that the students pick below :
Cecily = 6.7 (not an integer)
Marty = - 37 (integer)
Jon = 7/9 (not an integer)
The only scroll which meets the condition of being an integer is Marty's scroll ; Hence, she picked the winning scroll.