The distance between the two buildings is 844.23 feet apart, we go this answer by simply applying the SOH CAH TOA method
TrigonometryGiven Data
Height of Building A (Opp) = 400 feetAngle of Elevation θ = 35° Distance between the buildings Adj = ??Applying the SOH CAH TOA Approach we have
Tan θ = Opp/Adj
Substituting our given data we have
Tan 35 = 400/x
0.4738 = 400/x
make x subject of the formula we have
x = 400/0.4738
x = 844.23 feet
learn more about trigonometry here:
https://brainly.com/question/24349828
Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%
what is the area of the figure in square units?
Answer:
Area of a Rectangle: l x w
2 x 3 = 6
Area of a Triangle:
[tex] \frac{b \times h}{2} [/tex]
The slanted height of the triangle is 2 and the base of the triangle is also 2 so
[tex] \frac{2 \times 2}{2} \\ \\ \frac{4}{2} = 2[/tex]
So to get the area of the figure you add the area of the rectangle plus the area of the triangle.
6+2=8
The area of the figure is 8 units square
An Olympic diver is competing for a medal. His height in feet above the water
can be modeled by the function f(x)= -2(x-5)(x+1), where x is the time in seconds
after he begins the dive. Find how long it takes the diver to reach the water?
It takes the diver 5 s to reach the water.
Quadratic equationsThese are mathematical equations in which the highest power of the unknown is 2 and in factored form are written as f(x) = (x -a)(x - b)
Since the Olympic divers height in feet above the water can be modeled by the function f(x) = -2(x-5)(x+1), where x is the time in seconds after he begins the dive.
The diver reaches the top of the water when f(x) = 0.
So, equating f(x) to zero, we have
f(x) = 0
-2(x-5)(x+1) = 0
Dividing through by -2, we have
(x-5)(x+1) = 0
So, (x - 5) = 0 or (x + 1) = 0
x = 5 or x = -1
Since time cannot be negative, x = 5 s.
So, it takes the diver 5 s to reach the water.
Learn more about quadratic equations here:
https://brainly.com/question/24860429
please help me with this math! thank you!
Answer:
Heads or Tails
Step-by-step explanation:
its right there super simple.
PLEASE HELP ME I CANT GET IT RIGHT
alex earned $ 20.40 in three hours what is the unit rate in dollars per hour
Divide total made by total hours:
20.40 / 3 = $6.80 per hour
Answer:
See below.
Step-by-step explanation:
Divide the amount of money by the time.
20.4/3=6.8
So, alex earned $6.80 per hour.
-hope it helps
What is the domain of the function in this table?
х
2
3
4
5
у
5
8
11
14
Convert the following fraction to a decimal 20/16
Answer:
1.25
Step-by-step explanation:
is this right? please tell me :) asap!!
Answer:
A
Step-by-step explanation:
calculate 20% of $88
[tex]\frac{20}{100}[/tex] × $88 = 0.2 × $88 = $17.60
Hal is going over the credit scores he received from the three major credit bureaus. He Experian score is 711, his Equifax score is 736, and his TransUnion score is 736. What is the mode of Hal’s credit scores? (Round to the nearest whole point, if applicable. ) a. 736 b. 728 c. 723 d. There is no mode in this group.
The Halls credit score is 2186.
We have given that,he experian score =711
his equifax score =736
his trans union score =736
What is the meaning of Hals score?
Hals credit score = sum of all score.
Hals credit score = sum of all score.
=711+736+736
=2186
Therefore, the Halls credit score is 2186.
To learn more about the credit score visit:
https://brainly.com/question/23024185
Answer:Answer is A
Step-by-step explanation:grandma told me
can someone help me please? I don't understand what I need to do
Answer:
You need to find what X= then put the answer in the box to the left
Step-by-step explanation:
find the area of this circle. Use 3.14 as (pie symbol) click the photo to see the circle ! Please help
Answer:
Its 452.16
Step-by-step explanation:
Because the formal is [tex]\pi[/tex]r2
Which is 3.14*12*12=452.16
HELP ME I WILL GIVE BRAINLIEST
Answer: 42.0
Step-by-step explanation:
PLEASE HELP! ASAP!!!!!
Answer:
A, E, B
Step-by-step explanation:
help me with this please
Answer:
B and C
Step-by-step explanation:
Answer:
-15/-3,-5/-1
Step-by-step explanation:
please mark me as brainlest
How much money will
be spent in interest
alone over the course of
the 4% 30-year
mortgage described in
the table?
Answer:
the answer is 4,800 dollars
Step-by-step explanation:
Interest is amount added for time. In this case, every dollar borrowed will require 1.04 back. This may not seem like much, but it leads to a lot. Multiplying 120,000 by .04, which is 4 % in decimal form, will give you 4,800 dollars.
Hope this helps!
3.
The height of a triangle is 4 inches shorter
than its base. The area of the triangle is 198
square inches. Find the dimensions of the
triangle
(system of equation) only 2 please thanks
Answer:
Base is equal to 22
Hight is equal to 18
Step-by-step explanation:
Because 22 × 18 ÷ 2 is equal to 198
Formula
Hight × base ÷ 2
6 6/9 divided by 1 5/7
Determine the solution to each linear system by using the substitution method
3x+2y=4
2x-y=5
Answer:
The solution is x = 2
Step-by-step explanation:
i) 3x+2y=4
ii) 2x-y=5
Let's isolate y for the second equation
2x-y=5
2x-5 = y
y = 2x-5
Now use this y and substitute it in the first equation.
3x+2y=4
3x + 2(2x-5) = 4
3x + 4x - 10 = 4
7x / 7 = 14 / 7
x = 2
Last one i promise but i need help
Answer:
a
Step-by-step explanation:
Fatima uses 6. 2 pints of white paint and blue paint to paint her bedroom walls. 3 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
what does 13.2 − 1.78 equal
Step-by-step explanation:
Answer:
11.42
Step-by-step explanation:
Let f(x)=4x^2-3 and g(x)=-x^2+2.Find f+g and state the domain. Then evaluate the sum when x=2
Answer:
f+g = 3x^2-1. domain = all real numbers. then plug in two wherever there is an x.
f(x)=4*2^2-3, which equals 13
g(x)= -2^2+2, which equals -2
add
f+g when x=2 is 11
Step-by-step explanation:
Which statements accurately describe the triangles? Check all that apply.
The common ratio between the triangles is because
3 ** -3,
The common radio between the langles is 2.5 because -25,
The triangles could be similar
The triangles could not be similar
The ratio of the sidelengths are not consistent
The ratio of the side lengths are consistent
Answer:
the ratio of the side lengths are consistent
help me please if you know it
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of p makes the equation true?
Answer:
1/8
Step-by-step explanation:
●●○•°°°□□●○○○○○••••
In a class of 25 pupils, if 15 are females. Calculate the ratio of males : total
Answer:
2:5
Step-by-step explanation:
15 are female. 10 must be male.
Out of 25 pupils, 10 are male, so it's 10:25, or 2:5
Error Analysis Your friend says that the volume of this sphere is 44.58
m3. Find the correct volume, using 3.14 for r. What mistake might your
friend have made?
Answer:
the given dimension was used as the radius5.57 m³Step-by-step explanation:
The volume of a sphere can be found using the formula ...
V = 4/3πr³ . . . . . where r is the radius
__
The figure points to a diameter line and indicates 2.2 m. The arrowhead is in the middle of a radius line, making it easy to interpret the dimension as the radius of the sphere.
If 2.2 m is used as the radius, the volume is computed to be ...
V = 4/3π(2.2 m)³ ≈ 44.58 m³
This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.
__
The correct volume, using 2.2 m as the diameter, is ...
V = 4/3π(1.1 m)³ ≈ 5.57 m³
Chris wants to create a rectangular rose garden in his yard. He has 40 meters of garden fencing to go around the garden and he has to use it all. Pick two different ways in which he could construct the garden.
Answer:
Dimension 1 = 12 x 8
Dimension 2 = 14 x 6
Chris should choose Dimension 1
Step-by-step explanation:
Perimeter of a rectangle = 2 × width + 2 × length
= 2(width + length)
Given:
perimeter = 40m⇒ 40 = 2(width + length)
⇒ width + length = 20 m
Therefore, possible dimensions:
Dimension 1 = 12 x 8 (as 12 + 8 = 20)Dimension 2 = 14 x 6 (as 14 + 6 = 20)We need to calculate the area of both choices. The choice with the greatest area will allow the most vegetables to be planted.
Area of Dimension 1 = 12 x 8 = 96 m²Area of Dimension 2 = 14 x 6 = 84 m²Therefore, Chris should choose Dimension 1 (12 x 8).
Which of the following represent lengths of the sides of a
right triangle?
Select all that apply.
A 4,5,6
B 8, 15, 17
C 10, 15, 20
D
5, 12, 13