Answer:
a = 137.6
Step-by-step explanation:
The building and the street make a 90 degree angle. You have the length b, which is the height 1,484ft. The angle B 84.7 is created where he stands and looks up.
First, find the missing hypotenuse, c. Your angel A is 180 - 90 -84.7 = 5.3
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
sin( B)=opp/hyp
sin(84.7) = 1484 / c
c = 1484/sin(84.7)
c=1490.37
Find the last side of the triangle, in this case the distant from Leo to the building, using the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\a^{2} = c^{2} -b^{2} \\a^{2} =1490.37^{2} -1484^{2} \\a=137.6[/tex]
Can y’all help me?! :)
Option C.88ft².
Answer:
Solution given:
side 1=19ft
side 2=25ft
height=4ft
now
area =½height (side 1+side 2)
=½*4*(19+25)=88ft²
Answer:
The area of trapezoid is 88 ft ² .
Step-by-step explanation:
The, area of trapezoid is given by
= 1 / 2 ( Base ¹ + Base ² ) × Height
Where,
Base ¹ and Base ² are the length of parrallel side and Height is the perpendicular distance between them.
1 / 2 ( Base ¹ + Base ² ) × Height
Where, given that
Base ¹ = 19 ftBase ² = 25 ft Height = 4 ftSubstitute the values
Area = 1 / 2 × ( 19 ft + 25 ft ) × 4 ft
add the both parallel sides of trapezoid
Area = 1 / 2 × 44 ft × 4 ft
multiply the values , we get
Area = 176 ft ²/ 2
Divide and we get
Area of trapezoid = 88 ft ²
Therefore, the area of trapezoid is 88 ft ².
The hypotenuse of a right triangle is 13 ft long. The longer leg is 7 ft longer than the shorter leg. Find the side lengths of the triangle.
Answer:
The shorter leg is five feet, the longer leg is 12 feet, and the hypotenuse is 13 feet.
Step-by-step explanation:
Let the shorter leg be x.
Since the longer leg is seven feet longer than the shorter leg, the length of the longer leg can be modeled by (x + 7).
Since the triangle is a right triangle, we can use the Pythagorean Theorem, given by:
[tex]a^2+b^2=c^2[/tex]
Where a and b are the side lengths and c is the hypotenuse.
The hypotenuse is 13 and the legs are x and (x + 7). Substitute:
[tex](x)^2+(x+7)^2=(13)^2[/tex]
Square:
[tex]x^2+x^2+14x+49=169[/tex]
Simplify:
[tex]2x^2+14x-120=0[/tex]
We can divide both sides by two:
[tex]x^2+7x-60=0[/tex]
Factor:
[tex](x-5)(x+12)=0[/tex]
Zero Product Property:
[tex]x-5=0\text{ or }x+12=0[/tex]
Solve for each case:
[tex]x=5\text{ or } x=-12[/tex]
Since lengths cannot be negative, we can ignore the negative answer. So, our only solution is:
[tex]x=5[/tex]
The shorter leg is five feet, the longer leg will be (5 + 7) or 12 feet. And the hypotenuse is 13 feet as given.
37% of what number is 72?
Answer:
26.64
Step-by-step explanation:
37% of x = 72
0.37x = 72
isolate x
x = 72*0.37
x = 26.64
y=10x/3+19 find the y-intercept
Answer:
(0, 19)
Step-by-step explanation:
In slope-intercept form, the constant at the end of the equation is the value of the y-intercept.
You can also solve for the y-intercept by letting x = 0. This is because, at the point where the line crosses the y-axis, x will be 0.
y = 10(0)/3 + 19
y = 0 + 19
y = 19
Therefore, the y-intercept is (0, 19).
The y-intercept is (0, 19).
What is the y-intercept?The y-intercept is the point where the graph intersects the y-axis.
Given is an equation of a line, y = 10x/3+19
To solve for the y-intercept,
Put x = 0. This is because, at the point where the line crosses the y-axis, x will be 0.
y = 10(0)/3 + 19
y = 0 + 19
y = 19
Therefore, the y-intercept is (0, 19).
For more references on y-intercept, click;
https://brainly.com/question/14180189
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What is the solution of the system of equations graphed below?
Answer: B
Step-by-step explanation: Look at where the lines intersect
6h+(−8.1d)−14+5d−2.5h
Answer:
3.5h-3.1d-14
Step-by-step explanation:
6h+(−8.1d)−14+5d−2.5h
Combine like terms
6h -2.5h -8.1d +5d -14
3.5h-3.1d-14
Suppose that it is reported in the news that 12% of the people living and working in Kokomo feel that their commute is too long. What is the travel time to work that separates the top 12% of people with the longest travel times and the lower 88%
Answer:
22.3 minutes
Step-by-step explanation:
The computation of the travel time is as follows:
Given that
[tex]\mu[/tex] = 17
And, the standard deviation is 4.5
P(X≤C) = 0.88
P( x - [tex]\mu[/tex]) ÷ [tex]\sigma[/tex] ≤ (C - [tex]\mu[/tex]) ÷ [tex]\sigma[/tex] = 0.88
(C - [tex]\mu[/tex]) ÷ [tex]\sigma[/tex] = 1.175
c = [tex]\mu[/tex] + 1.175 × [tex]\sigma[/tex]
= 17 + 1.175 × 4.5
= 22.3 minutes
Hence, the travel time is 22.3 minutes
school uniform cost $25 plus a one time $5 fee if you get your initials embroidered on the collar . how much did bryce pay if he ordered 4 embroidered uniforms?
which of the following is equivalent to 2 stretching below? (14-9i)+(2+3i)..
Answer:
(14-9i)+(2+3i) = 16-6i
Step-by-step explanation:
We need to find the equivalent of (14-9i)+(2+3i).
We need to add the two expressions.
(14-9i)+(2+3i) = 14+2 -9i+3i
= 16-6i
Here, the real part is 16
The imaginary part is -6
Hence, the required answer is equal to 16-6i.
Solve for x in the equation x squared + 14 x + 17 = negative 96.
What is the surface area of the solid that this net can form?
8 mm
25 mm
8 mm
5 mm
5 mm
8 mm
8 mm
5 mm
5 mm
8 mm
8 mm
25 mm
O 730 square millimeters
O 875 square millimeters
O 1,000 square millimeters
O 1,444 square millimeters
Answer:
730
Step-by-step explanation:
separate each rectangle
use the formula to calculate the area of each rectangle.
1st rectangle
area = length ×breadth
length =5, breadth =8+25+8=41
A1=5×41=205
2nd rectangle
A2=8×25=200
....
A3=5×25=125
A4=8×25=200
Add all As and you have your ans 730
How does a pedometer help people reach their fitness goals?
A.
It measures calories burned throughout the day
B.
It usually doubles as an MP3 player and keeps people motivated.
C.
They help people reach their goals by counting the number of steps taken.
D.
They measure the number of lifts done during each exercise performed.
Answer:
C
Step-by-step explanation:
pedometers are devices that count the steps you take throughout the day. Seeing your daily step count can give you an idea of how active you are in a given day and give motivating feedback to help you achieve a daily step goal.
Answer:c i just took the test
Step-by-step explanation:
Why is this graph proportional?
Answer:
The graph represents a linear function that passes through the origin.
Step-by-step explanation:
Proportional functions can be represented by [tex]y=kx[/tex], where [tex]k[/tex] is some constant. They form a straight line that always pass through the origin (0,0). We can see all these characteristics in the graph, thus the graph is proportional.
What is the greatest common
factor of the expression?
2x^2y^3+4x^2y^5
Answer:
[tex]2x^2y^3[/tex]
Step-by-step explanation:
The given expression is :
[tex]2x^2y^3+4x^2y^5[/tex]
We need to find the greatest common factor of the expression.
The first term is [tex]2x^2y^3[/tex]
The other term is [tex]4x^2y^5[/tex]
[tex]2x^2y^3[/tex] is common in both terms. So,
[tex]2x^2y^3(1+2y^2)[/tex]
Hence, the greatest common factor of the expression is equal to [tex]2x^2y^3[/tex].
Which function has a greater Y intercept
A community shares a vegetable garden in a park each summer. Last year, it took Sapphire 88 hours to plant the garden by herself. The year before, it took Varsha 66 hours to plant the same garden by herself.
This year, if Sapphire and Varsha work together to plant the same vegetable garden, it would take ??? hours.
What is ???
Answer:
37.71 hours
Step-by-step explanation:
Saphire
1garden/88hours
Varsha
1garden/ 66 hours
Together
1/88 + 1/66 = x
use 264 as common denominator
3/264 + 4/264 = 7/264
Together they can do 7 gardens in 264 hours
264/7 = 37.71 hours for 1 garden
-----------------------------------
Sometimes Brainly double types numbers
If you meant 6 hours and 8 hours
1/6 + 1/8 = x
4/24 + 3/24 = 7/24
24/7 = 3.43 hours
look at pic 10 pts will mark brainilest AND WILL HELP OUT W A QUESTION shsu
Answer:
B
Step-by-step explanation:
Becoming a member at fitness club costs $50 plus a monthly fee of $25. Using the graph, estimate how many months a person has been a member if he has paid a total of $250.
Answer:
0.3
Step-by-step explanation:
Three sets have 5, 10, 15 elements, respectively. How many elements can their union and intersection have?
Answer:
[tex]Union = 15[/tex]
Step-by-step explanation:
Given
[tex]n(A) = 5; n(B) = 10; n(C) = 15[/tex]
Solving (a): Possible union elements
This is the represented by element with the largest number of the sets
i.e.
[tex]Union = 15[/tex]
Solving (b): Possible intersection elements
This is the represented by element with the least number of the sets
i.e.
[tex]Intersection = 5[/tex]
Find the 8th term of the geometric sequence 7, 28. 112, ... HELP PLSSSS
PLEASE ANSWER!! Find EF using Pythagorean theorem. Express answer to one decimal place.
Answer:
115.5 cm
Step-by-step explanation:
A^2 + B^2 = C^2
41^2 + 108^2 = C^2
C^2 = 13345
C = 115.5 cm
i need help! plz (listing BRAINLIST and giving points) :D
Answer:
4
Step-by-step explanation:
these are two similar triangles, so to solve for x, we create two similar ratios!
x/2 = 7/3.5
cross multiply.
14=3.5x
divide 14 by 3.5
x=4
solve 3x²-2x-5=0 by factorization method
Answer:
Step-by-step explanation:
3x^2 -2x -5=0
3x^2 -(5-3)x -5=0
3x^2 -5x +3x -5=0
x(3x -5)+1(3x -5)=0
(x+1)(3x-5)=0
either (x+1)=0 OR, (3x-5)=0
x+1=0
x=0-1
x=-1
3x-5=0
3x=0+5
x=5/3
x=-1, 5/3
The box plots below show the math scores of students of two different classes, which statement is correct
Answer:
B
Step-by-step explanation:
Given the data:
Class A 55 72 75 89 95
Class B 55 70 75 94 100
CLASS A :
Minimum - 55
Lower quartile - 72
Median - 75
Upper quartile - 89
Maximum - 95
CLASS B :
Minimum - 55
Lower quartile - 70
Median - 75
Upper quartile - 94
Maximum - 100
Evaluating the statements given :
The median score of Class A is greater than the median score of Class B.
Median A = 75 ; Median B = 75 (median are equal), hence, A is not true
The lower quartile of Class A is greater than the lower quartile of Class B.
Lower quartile A = 72 ; Lower quartile B = 70 (A is greater than B) , hence, B is true
The upper quartile of Class A is greater than the upper quartile of Class B.
Upper quartile A = 89 ; Upper quartile B = 94 (A is less than B) , hence, statement is not true
The maximum score of Class A is greater than the maximum score of Class B.
Maximum A = 94 ; maximum B = 100 ; A < B ; Hence, statement is not true
6x+2y=
6x+2y=
\,\,16
16
2x-2y=
2x−2y=
\,\,32
32
Answer:
x = 6, y = -8
Step-by-step explanation:
First we take the equations side by side and put them like this:
6x + 2y = 16
+ 2x - 2y = 32
8x = 48
Then solve for x.
x = 6
Then insert x back into either equation
2(5) - 2y = 32
10 - 2y = 32
solve for y,
y = -10
Which explicit formula is equivalent to a1 = 1, an=
4an-1?
A. an = 1(4)^n-1
B. an = 4(4)^n-1
C. an = 4(1)^n–1
D. an = 1 + (n - 1)4
Answer:
A. an = 1(4)^n-1
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio, and the sequence is given by:
[tex]a_n = a_1(q)^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term and q is the common ratio.
We are given the following sequence:
[tex]a_1 = 1[/tex]
[tex]a_n = 4a_{n-1}[/tex]
So
[tex]a_2 = 4a_1 = 4[/tex]
[tex]a_3 = 4a_2 = 16[/tex]
[tex]a_4 = 4a_3 = 64[/tex]
That is, the quotient between consecutive terms is 4, so [tex]q = 4[/tex].
The first term is already given, [tex]a_1 = 1[/tex]. So
[tex]a_n = a_1(q)^{n-1}[/tex]
[tex]a_n = 1(4)^{n-1}[/tex]
And thus, the correct answer is given by option A.
Find the area of a regular
polygon with 5 sides that has a
side length of 6 inches and an
apothem of 9 inches.
Answer:
area of polygon : 120in²
Please help asap!!! Will give brainleist for the right answer
Answer:
I think the answer is 1,032 pounds
Step-by-step explanation:
You would have to multiply the dimensions of the table first:
8*3*1=24.
Then you would multiply that by 43.
24*43=1,032.
I THINK this is the answer.
4. What is the product of (3x - 1)(x + 4)?
HELP PLEASE RIGHT NOT SHOW YOURE WORK!!!!!
[tex]3 {x}^{2} + 11x - 4[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](3x - 1)(x + 4) \\ \\ = 3x(x + 4) - 1(x + 4) \\ \\ = 3 {x}^{2} + 12x - x - 4 \\ \\ = 3 {x}^{2} + 11x - 4[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
The perimeter of triangle ABC is 56 cmThe length of AB is С 4x - 4 degrees; 2x + 6 degrees; 70 degrees B A A 16 B of these 18 cm D 5 E 20 cm
Answer:
Step-by-step explanation:
