Answer:
The other 2 angles are 28 and 62 degrees.
Step-by-step explanation:
The sum of all the angles of a triangle is always equal to 180 degrees.
If two angles are known the third can be found out.
A right angled triangle always has an angle equal to 90 degrees.
If the base is 15 and the perpendicular is 8 and the hypotenuse is 17
then
Tan theta= Perpendicular/base
Tan theta= 8/15
theta = tan⁻¹ 8/15
theta = 28.072
The third angle is 28 degrees which is less than 90 degrees and is acute
This can also be obtained by
cos theta= base / hypotenuse
cos theta= 15/17
theta= cos⁻¹ 15/17
theta= 28.072
Now summing up
90+ 28 + x= 180
x= 180-118
x= 62
The third angle is 62 degrees which is also less than 90 degrees.
A 3ft child casts a 2ft shadow at the same time a tree casts a shadow that is 6ft long how tall is the tree?
Answer:
[tex]h_t=9ft[/tex]
Step-by-step explanation:
From the question we are told that:
Height of child [tex]h_c=3ft[/tex]
Height of child's shadow [tex]h_c_s=2ft[/tex]
Height of tree's shadow [tex]h_t_s=6ft[/tex]
Since position of Sun remains constant
Generally the equation for Height of tree h_t mathematically given by
[tex]h_t=f_{ts}\frac{h_c}{h_c_s}[/tex]
[tex]h_t=6*\frac{3}{2}[/tex]
[tex]h_t=9ft[/tex]
Write 5.3421 (bar on 21) in p/q form
Answer:
[tex]\frac{52887}{9900}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating 21 placed after the decimal point.
let x = 5.34212121 ( multiply both sides by 100 and 10000 )
100x = 534.2121... → (1)
10000x = 53421.2121... → (2)
Subtract (1) from (2) thus eliminating the repeating 21
9900x = 52887 ( divide both sides by 9900 )
x = [tex]\frac{52887}{9900}[/tex]
Avery invested $21,000 in an account paying an interest rate of 3.3%
compounded continuously. Assuming no deposits or withdrawals are made,
how long would it take, to the nearest year, for the value of the account to
reach $29,200?
Answer:
i thought i have answered this question b4
Mi tarjeta de crédito está saturada por lo que tanto recurre un préstamo que cobra el 8% mensual por la cantidad que se solicite me prestaron 3500 cuál es la cantidad de que debo pagar al prestamista en un mes para saldar la deuda
Answer:
El valor que debes pagar al prestamista en un mes para saldar la deuda es: 3780.
Step-by-step explanation:
Para encontrar el valor que debes pagar en un mes para saldar la deuda, debes calcular el 8% del valor que te prestaron y este sería el monto de los intereses. Después, debes sumarle esta cantidad al valor que te prestaron:
monto del préstamo= 3500
3500*8%=280
3500+280=3780
De acuerdo a esto, la respuesta es que el valor que debes pagar al prestamista en un mes para saldar la deuda es: 3780.
A planner assembles party favor bags filled with glow sticks and temporary tattoos for a client. There are 24 glow sticks and 30 temporary tattoos to divide
evenly among the bags.
If there are no leftover items, what is the greatest number of bags the planner can assemble?
A. 6 bags
B.8 bags
C. 24 bags
D. 30 bags
Answer:
24
Step-by-step explanation:
you don't have more than 24 glow sticks so thats the most amount of bags you can have
WHAT IS THE MEDIAN pls help
What is the next term in the sequence 58, 47, 36, 25...?
Answer:
14
Step-by-step explanation:
subtract 11 each time.
Answer:
14
Step-by-step explanation:
Because look at the pattern they subtrat from 11
Five angles of a hexagon measure 119, 129, 104, 139 and 95 degrees. What is the measure of the sixth angle?
3(x−6)=−12 what is the answer pls
Answer:
[tex]3(x - 6) = - 12 \\ 3x - 18 = - 12 \\ 3x = - 12 + 18 \\ 3x = 6 \\ x = \frac{6}{3} \\ x = 2[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
Answer:
x = 2
3 (x-6) = -12
3x - 18 = -12
3x - 18 + 18 = -12 + 18
3x = 6
3x/3 = 6/3
Hence, x= 2
Step-by-step explanation:
pls mark as brainliest
hope it helps u
Given m and n are parallel lines, t is a transversal
crossing both m and n, and m48 = 100 degrees,
what is the measure of 3?
Answer:
they would measure 74 meters
solve:
100^x=10^(2x+5)
Answer:
[tex]100^x=10^{2x+5}\\100 = 10^2[/tex]
simplifies to
[tex]10^{2x}=10^{2x+5}\\2x = 2x+5\\0=5[/tex]
no solution
In ΔMNO, the measure of ∠O=90°, MO = 24, NM = 25, and ON = 7. What ratio represents the cosecant of ∠N?
Answer:
\csc N = \frac{\text{hypotenuse}}{\text{opposite}}=\mathbf{\frac{25}{24}}
cscN= opposite
hypotenuse = 24/25
Step-by-step explanation:
help me its due in 13 mins i forgot about it
Answer:im so sorry but i cant see the page you should take a more clear picture and send it again
Step-by-step explanation:
Enter the correct answer in the box. What are the solutions to the equation (x - 21)^2 = 25?
Answer:
x = 26
Step-by-step explanation:
[tex] {(x - 21)}^{2} = 25 \\ x - 21 = \sqrt{25} \\ x - 21 = 5 \\ x = 5 + 21 \\ x = 26[/tex]
Answer:
x = 26, x = 16.
Step-by-step explanation:
(x - 21)² = 25
Expand the factor.
(x - 21)(x - 21) = 25
Multiply using FOIL.
x² - 42x + 441 = 25
Subtract 25 from both sides.
x² - 42x + 416 = 0
Factor.
(x - 26)(x - 16) = 0.
Set both expressions to 0 and solve.
x - 26 = 0
Add 26 to both sides.
x = 26
x - 16 = 0
Add 16 to both sides.
x = 16
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answer: I would say 50%
Step-by-step explanation: Because there is a 50 50 chance on getting heads or tails.
Answer:
I believe it is a 50% chance because there are only two sides to the coin. 100 divided by two is 50.
Step-by-step explanation:
I'm not sure if that is the way you are supposed to solve it. Sorry if the answer is incorrect.
Solve for x. round your answer to the nearest whole degree.
Answer:
64°
Step-by-step explanation:
sin(x) = 17/19
take inverse sine of 17/19: [tex]sin^{-1}(17/19)[/tex] = 63.475°
they want to the nearest whole degree, so it would be ≈ 64°
The "Open" sign at Cenzo's flashes every 4 seconds. The "Open" sign at The Kettle flashes every 5 seconds and the "Welcome" sign at Centrella's Deli flashes every 6 seconds. If the signs are turned on and flash at the same time, how long will it take for them to flash at the same time again?
Select the correct answer.
What is the purpose of the IRS?
A.
to collect taxes and enforce tax laws
B.
to provide a collection of domestic and foreign securities
C.
to foster cooperation between nations to solve economic issues
D.
to ensure fair global trade practices
Answer:
I think A ................
two lines intersect in the figure below. what is the value of x?
Answer:
A. 17
Step-by-step explanation:
The angles are adjacent, meaning they are congruent. So you will set (5x + 6) equal to 91
(5x + 6) = 5x + 6
5x + 6 = 91
5x + 6 - 6 = 91 - 6
5x = 85
5x / 5 = 85 / 5
x = 17
hii please help asap ill give brainliest thanks
Answer:
Alloys...................................
Please help ASAP!!!!
Answer:
m<CAO = 56°
Step-by-step explanation:
Same-side interior angles are supplementary to each other, so take their sum and set them equal to 180 and solve for x:
2x + 3x + 40 = 180
5x + 40 = 180
5x = 140
x = 28
Plug x=28 into angle CAO:
CAO = 2(28) = 56°
Can someone help me please explain how to solve
Answer:
120 sq ft 1/2 x b x h
Step-by-step explanation:
Which expression gives the volume of a sphere with radius 16?
O A. $ r (262)
B. 47(262)
O C. (163)
O D. 4t(153)
Answer:
16,384π/3
Step-by-step explanation:
V = (4/3)πr³
V = (4/3)π(16³)
V = 16,384π/3
Answer:
Step-by-step explanation:
Equation
V = (4/3) pi r^3
Givens
r = 16
Solution
V = (4/3) pi 16^3
V = (1.3333) * 3.14 * 4096
V = 171148.5
None of those answers agree with mine. Are those the real choices?
The angle of elevation to a building in the distance is 22°. You know that the building is approximately 450ft tall. Estimate the distance to the base of the building
Answer:
1114 ft
Step-by-step explanation:
tan 22°=450/d
==>d=450/tan 22°=1113.7890... ≈1114 (ft)
The outside of a round swimming pool is 40ft. How far is it to swim from the center to the outside?
Answer:
20ft.
Step-by-step explanation:
The perimeter is 40ft. You are starting at the perimeter of the pool swimming inward, you will have to swim half of that distance to reach the center.
Spongebob, Patrick, and Mr. Krabs are Investing a total of $240,000 in the Krusty Krab at a ratio of 8:5:17. How much
money did each of them invest?
Answer
SpongeBob:$64000
Patrick:$40000
Mr.Krabs:$136000
Step-by-step explanation:
8+5+17=30
Spongebob=(8/30)*$240000=$64000
Patrick=(5/30)*$240000=$40000
Mr.Krabs=(17/30)*$240000=$136000
what is the quotient when the fraction 1/3 is divided by the whole number 6?
Answer:
[tex]\frac{1}{18}[/tex]
Step-by-step explanation:
HELP PLEASE. urgent help needee
Answer:
123 cm^2
Step-by-step explanation:
for the rectangles its
#1 5(4)=20 cm^2
#2 5(7)= 35 cm^2
#3 5(8) = 40 cm^2
for the triangles its
4(7)(.5)(2)= 28 cm^2
4(7)= 28 cm^2
I get the .5 from the triangle area formula
and since the triangles are equal I multiplied it by 2 again so the .5 cancels out.
in the end you add them all up which is 20+35+40+28 = 123 cm^2
express 4.77777..... in the form of p/q
Answer:
[tex]\frac{43}{9}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating 7 placed after the decimal point.
let x = 4.7777... → (1)
Multiply both sides by 10
10x = 47.7777.... → (2)
Subtract (1) from (2) thus eliminating the repeating 7
9x = 43 ( divide both sides by 9 )
x = [tex]\frac{43}{9}[/tex]
Question Below! 20 points!
Answer: 20
Step-by-step explanation: