Answer:
As a rule of thumb, if you know only the two shorter side, their ratio is the tangent of the angle opposed to the side you use as a numerator.
If you know one side and the hypotenuse, the ratio side/hypotenuse is either the sine of the opposite angle, or the cosine of the adjacent angle.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8
Answer:
B
Step-by-step explanation:
X menas time, so we posisionate this in the axis, you begin with 2 dollars, and increase the cost with the time, hope this hlps :)
Of the 120 apartments in a building, 75 have been scheduled to receive new carpet. What fraction of the apartments have not been scheduled to receive new carpet?
1/4
3/8
5/8
3/4
Answer:
3/8
Step-by-step explanation:
Well, let's start out by figuring out how many apartments have not been scheduled to receive new carpet. We know that 75 have been scheduled and that there are 120 total apartments, so the number of apartments that have not been scheduled is 120 - 75 or 45.
Now, we need to find the fraction of apartments that have not been scheduled to receive new carpet. To do this, we divide the number of apartments that have not been scheduled to receive new carpet by the total number of apartments:
[tex]\frac{45}{120}[/tex]
We can divide both sides by a common factor of 15 to find the simplified fraction and determine our answer.
[tex]\frac{45}{120} /\frac{15}{15} =\frac{3}{8}[/tex]
So, 3/8 of the apartments have not been scheduled to receive new carpet.
A pool with a square bottom is to have a volume of 2000 cubic feet. The owners plan to use a fancy tile to complete the pool. The sides of the pool will cost $80 per square foot and the bottom of the pool will cost $40 per square foot. Find the pool dimensions that will minimize the cost of construction.
Considering the given conditions in the question, the dimensions that will minimize the cost of construction of the pool are:
base length = 10 feet
base width = 10 feet
pool depth = 20 feet
Volume of a material implies the maximum amount of substance that it can contain.
From the given question, it is expected that the pool would have the shape of a cuboid, thus its volume can be determined by:
volume of the pool = length x width x height
= base area x height
Thus, given that the volume of the pool is 2000 cubic feet, then;
2000 = base area x height
i. Let the dimensions of the square base be 10 feet, and its height 20 feet, so that;
volume = 10 x 10 x 20
= 2000 cubic feet
The cost of constructing the pool of the assumed dimensions would be:
Total area of its sides = 4 x 200
= 800 square feet
The cost of tiling the sides of the pool = $80 x 800
= $ 6400.0
Area of the base of the pool = 10 x 10
= 100 square feet
The cost of tiling the base of the pool = $40 x 100
= $4000
Total cost = $6400 + $4000
= $10400
Total cost of constructing the pool with the assumed dimensions is $10400.
ii. Let the dimensions of the square base be 20 feet, and its height 5 feet, so that;
volume = 20 x 20 x 5
= 2000 cubic feet
The cost of constructing the pool of the assumed dimensions would be:
Total area of its sides = 4 x 100
= 400 square feet
The cost of tiling the sides of the pool = $80 x 400
= $ 32000
Area of the base of the pool = 20 x 20
= 400 square feet
The cost of tiling the base of the pool = $40 x 400
= $16000
Total cost = $16000 + $32000
= $48000
Total cost of constructing the pool with the assumed dimensions is $48000.
Therefore, the dimensions that will minimize the cost of construction of the pool are:
base length = 10 feet
base width = 10 feet
pool depth = 20 feet
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Help I need to know I only have 15 min
What does x equal in x/2=-5
Answer:
x=10. hope this helps
Step-by-step explanation:
PLEASE HELP I WILL MARK BRANLIEST
Prove triangles below congruent by SSS, SAS, AAS, ASA, or HL. If not congruent choose NC. (multiple choice)
ASA
HL
NC
SSS
AAS
SAS
Answer:
SAS
Step-by-step explanation:
We must prove that triangles ABC and EDC are congruent.
Since BD bisects AE, then AC is congruent with CE.
Since AE bisects BD, then BC is congruent with CD
Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.
Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.
Answer: SAS
can you answer number four please
Answer:
l = 104/3
w = 40/3
Step-by-step explanation:
l = 2*w + 8
P = 2(l + w) = 96
48 = l + w
2w + 8 + w = 48
3w = 40
w = 40/3
l = 2*40/3 + 8
= 80/3 + 8
= 80 + 24 / 3
= 104/3
if marsha deposited 9,500$ into a savings acc 4 years ago The simple interest rate is 2% how much money did masha earn
Answer:
Kasha earned $10,260.00
Step-by-step explanation:
The total amount accrued, principal plus interest, from simple interest on a principal of $9,500.00 at a rate of 2% per year for 4 years is $10,260.00.
Construct a new equation by adding 5x + 5y = 35 to 3.x - 2y = 1
Determine the measure of angle ∠ABD.
a) 48
b) 12
c) 90
d) 24
Answer:
24 or 12
Step-by-step explanation:
Please help! :0 :0 PLEASEEEEEE
Answer:
i would say either F or G
i guess choose F
Answer:
8
Step-by-step explanation:
8
After a reflection over the line y=-2, which direction will the arrow be facing?
Down
Right
Up
Left
Question 1 of 25
Which of these numbers is in the solution set of x- 12 = 3?
O A. 15
O B. -9
O C. 9
OD. 4
722000
= ×10
its scientific notation help please
Answer:
7.22 x 10^5
Step-by-step explanation:
Remember that the decimal is always to the right of the ones place.
1. Move it one place to the left and multiply by 10 to compensate.
2. Move it two places to left and multiply by 10^2.
3. Move the decimal point three times and multiply 10^3 to compensate, and the pattern continues until you reach the very last digit, the 7.
4. Numbers after the 7 that are not zeros will be after the decimal point.
so, 7.22 x 10^5
A line passing through the point(-10,-5) and has a slope of -1/2
Points A,B,C are collinear. explain what is wrong with this picture. Use the linear pair theorem in your explanation
Answer:
hey can u help me with my work i posted i promise ill help u back
Liquid A has a density of 1.42 g/cm². 7 cm of
liquid A is mixed with 125 cm of liquid B to make
liquid C. Liquid C has a density of 1.05 g/cm. Find
the density of liquid B.
Give your answer correct to 2 decimal places
Answer:
A=density=1.42g/cm^3
mass=9.94g
volume=7cm^3
B=density =?
mass=128.66g
volume=125cm^3
C=density=108g/cm^3
mass=138.6g
volume=132cm^3
massA 1.42×7=9.94g
massB 138.6-9.94=128.66g
massC 132×1.05=138.6g
Density of B =mass/ volume
=126.66÷ 125
= 1.03g/cm^3
What is the value of x?
40
70
140
160
Answer:
the vaule of x is 160 add the rest to it later then you get answer A
Step-by-step explanation:
Answer:
Its B 70
Step-by-step explanation:
Edge 2022
10 times 7 + 5^2/2 times 5
Answer:
132.5
Step-by-step explanation:
10x7=70
5^2=25
70+25/2x5
70+12.5x5
70+62.5=132.5
Suppose that the functions r and s are defined for all real numbers x as follows.
r(x)=x+3
s(x) = 2x
Write the expressions for (r-s) (x) and (-s) (x) and evaluate (r+s) (-1).
Step-by-step explanation:
as explained in the other question : when applying an arithmetic operation on functions, you are applying it on the functional expressions.
(r*s)(x) = (x+3)*(2x²) = 2x³ + 6x²
(r-s)(x) = (x+3) - (2x²) = -2x² + x + 3
(r+s)(-1) = (-1 + 3) + (2×(-1)²) = 2 + 2×1 = 4
Solve the equation. Linear Equations:Variable on Both Sides
-7x-3x+2=-8x-8
Solve it step by step
Use the diagram to complete the statement.
Given ΔJKL, cos(60°) equals sin(?)
Answer:
cos(60) = sin(30)
Step-by-step explanation:
cosine is adjacent over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠60°
sine is opposite over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠30°
Find the perimeter.simplify your answer.
The perimeter of a shape is the sum of its side lengths.
The perimeter of the shape is 24z - 18
Represent the length with l and the width with w.
The dimensions are given as:
[tex]l = 10z[/tex]
[tex]w = 2z - 9[/tex]
So, we have:
[tex]P =2 \times (l + w)[/tex] --- the formula of perimeter
The above equation becomes
[tex]P = 2 \times (10z + 2z - 9)[/tex]
Evaluate like terms
[tex]P = 2 \times (12z - 9)[/tex]
Open brackets
[tex]P = 24z - 18[/tex]
Hence, the perimeter of the shape is 24z - 18
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please help me with this 2
8 less than 4 times a number is 76. Find the number.
Answer:
the answer is twenty one
Pg 118 #11 - 13, 15, 16
We can't get the answer if there's no problem?
Not sure how to do this. Help is much appreciated. :D
Answer:
m = √n/3 -k
Step-by-step explanation:
√n = 3(k + m)
=> √n/3 = k + m
∴ m = √n/3 -k
Hope this helps!!
What’s the answer for both questions?
Answer:
id
Step-by-step explanation:
20 points! :D
Help is much appreciated. :D
Answer:
I think it's 32x
Step-by-step explanation:
hope I got it right Im not to good at this
Anna has £10 savings, Ben has £3.
Each week, Anna saves £2.50 and Ben saves £3.
How many weeks will it take for Anna and Ben's
savings to be in the ratio 5:4?
Answer:
6
weeks
Step-by-step explanation:
SUPER EASY DO FAST PLEASEE
is that a japanese symbol for beginner