Answer:
∠ ADE = 59°
Step-by-step explanation:
The angles in a rectangle are right angles, then
∠ ABC = 90° , that is
4x + 15 + 13x + 7 = 90
17x + 22 = 90 ( subtract 22 from both sides )
17x = 68 ( divide both sides by 17 )
x = 4
Then
∠ CBE = 13x + 7 = 13(4) + 7 = 52 +7 = 59°
Since the sides in a rectangle are parallel then
∠ ADE = ∠ CBE ( alternate angles )
∠ ADE = 59°
The designer wants to plant new flowers around the pond. How many feet of flowers would she need to plant in this new design? Round to the nearest hundredth. Show your work.
Answer: 1,257.14 ft
Step-by-step explanation:
The question is missing the vital detail of the diameter or radius of this circular pond which I found to be 400 feet.
The plants are to be planted around the pond which means that they are to be planted around the circumference of the pond.
The number of feet of flowers to be planted is therefore the circumference.
Circumference = π * diameter
= 22/7 * 400
= 1,257.14 ft
PLEASE ANSWER THIS ASAP WHOEVER IS CORRECT GET BRAINLIST
Answer:
-Entire triangle region : 120 sq.cm
-Area of semi circle : 100.53 sq.cm
-Entire composite figure : 220.53 sq.cm
Step-by-step explanation:
Area of triangle = ½ × base × height
= ½ × (8+8) × 15
=½ × 16 × 15
= 120 sq.cm
[tex]area \: of \: semi \: circle = \frac{1}{2} \pi {r}^{2} \\ = \frac{1}{2} \times \pi \times {8}^{2} \\ = \frac{1}{2} \times \pi \times 64 \\ = 32\pi[/tex]
=100.530.......
=100.53 sq.cm (rounded to 2 decimal place)
Area of entire figure = 120 + 100.5353
= 220.53 sq.cm
Hope I could help:))
Prove: The diagonals of a square are perpendicular.
Answer:
Step-by-step explanation:
Slope of AC= (a-0)/(a-0) = 1
Slope of BD = (0-a)/(a-0) = (-a)/a =-1
Slope of AC x Slope of BD =1 x -1 = -1
Therefore AC perpendicular to BD
Which statement below accurately describes the data in the table?
A)
More than 75% of the students prefer Alternative or Hip Hop music.
B)
40% of students prefer Hip Hop.
C)
The mode of the data is Alternative Music,
D)
More than 25% of students prefer Country or Rock Music.
Answer:
The answer is A:More than 75% of the students prefer Alternative or Hip Hop music.
Step-by-step explanation:
In ΔFGH, the measure of ∠H=90°, the measure of ∠F=44°, and GH = 14 feet. Find the length of HF to the nearest tenth of a foot.
Answer: 14.5 feet
Step-by-step explanation: that’s he correct answer delta math gave me AFTER I got it wrong
Answer:
14.5
Step-by-step explanation:
Can someone help me with this. Will make brainliest. Need answer and explanation/work. Thank you.
Answer:
A quadrilateral has a parallelogram if one pair of opposite sides is congruent and parallel. Parallelograms are designed to have diagonals that bisect one another. When ABCD is bisected by — BD and —AC, then ABCD is a parallelogram.
Step-by-step explanation:
Answer:
A quadrilateral has a parallelogram if one pair of opposite sides is coinciding exactly when superimposed and parallel. Parallelograms are designed to have diagonals that bisect one another. When abcd is bisected by bd and ac, then abcd is a parallelogram.
Step-by-step explanation:
Write an equation for the asymptote in Graph A.
A survey of the 5769 vehicles on the campus of State University yielded the following circle graph.
A circle graph titled State University Vehicles. Hatchbacks, 32 percent; Pickups, 29 percent, Convertibles, 15 percent; Motorcycles, 10 percent; vans, 9 percent; sedans, 5 percent.
Find the number of sedans. Round your result to the nearest whole number.
a.
288
c.
5
b.
5481
d.
0
Please select the best answer from the choices provided
A
B
C
D
Answer:
A. 288
Step-by-step explanation:
EDG 2021
The number of sedans are 288, the correct answer is A.
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We need to Write the percent as a fraction in simplest form
16.24%
So, we can rewrite it as;
16.24 / 100
16 and 24/100 or 16 6/25
So the percent as a fraction is 16 6/25
We are given that;
The percentage of sedans is 5% and the total number of vehicles is 5769.
Now,
Plugging these values into the formula, we get:
Number of sedans = (5 / 100) x 5769 Number of sedans = 0.05 x 5769 Number of sedans = 288.45
Rounding this result to the nearest whole number, we get:
Number of sedans = 288
Therefore, by the given percentage the answer will be 288.
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A movable section of stage has the shape of an isosceles right triangle. You need to apply 2 coats of paint to all but the bottom. The paint covers approximately 90 square feet per quart. How many quarts of paint do you need to buy? You need to buy quarts of paint.
Answer:
You need to buy 3 quarts of paint.
Step-by-step explanation:
Given
[tex]Coats =2[/tex]
[tex]Paint = 90ft^2/qt[/tex]
See attachment for stage
Required
Determine the number of quarts needed
First, we calculate the surface area of the stage (without the base).
This is calculated as:
Area = Area of Rectangle1 + Area of Rectangle 2 + 2 * Area of each triangle on both sides.
For the first rectangle, we have:
[tex]A_1 =Length * Width[/tex]
[tex]A_1 = 15.2 * 19.5 =296.4[/tex]
For the second rectangle, we have:
[tex]A_2 =Length * Width[/tex]
[tex]A_2 = 6* 19.5 = 117[/tex]
For each triangle on both sides
[tex]A_3 = 0.5 * Base * Height[/tex]
[tex]A_3 = 0.5 * 14 * 6 = 42[/tex]
So, the total area is:
[tex]Area = A_1 + A_2 + 2 *A_3[/tex]
[tex]Area = 296.4 + 117+ 2 *42[/tex]
[tex]Area = 497.4ft^2[/tex]
The amount of paint need is:
[tex]Amount = \frac{Area}{2\ coats}[/tex]
From the question, we understand that:
[tex]1\ coat =90ft^2/quart[/tex]
Multiply both sides by 2
[tex]2 * 1\ coat =90ft^2/quart * 2[/tex]
[tex]2 \ coats =180ft^2/quart[/tex]
So, we have:
[tex]Amount = \frac{Area}{2\ coats}[/tex]
[tex]Amount = \frac{497.4ft^2}{180ft^2/quart}[/tex]
[tex]Amount = \frac{497.4ft^2}{180ft^2}quart[/tex]
[tex]Amount = \frac{497.4}{180}quart[/tex]
[tex]Amount = 2.763\ quarts[/tex]
[tex]Amount \approx 3\ quarts[/tex] --- approximated
What is the domain of the relation? On a coordinate plane, a graph of an image has 3 connected lines. The first line goes from (negative 4, negative 4) to (negative 2, 1). The second line goes from (negative 2, 1) to (1, 1). The third line goes from (1, 1) to (6, 4). There are closed circles at (negative 4, negative 4) and (6, 4).
Given:
The graph of a relation contains three lines.
The first line goes from (-4,-4) to (-2, 1).
The second line goes from (-2, 1) to (1, 1).
The third line goes from (1, 1) to (6, 4).
There are closed circles at (-4,-4) and (6, 4).
To find:
The domain of the relation.
Solution:
Domain of relation is the set of x-values or the set of input values.
First line is defined from -4 to -2, second line is defined from -2 to 1 and third line is defined from 1 to 6.
There are closed circles at (-4, -4) and (6, 4). It means -4 and -6 are included in the domain.
Since the input values for the given relation is from -4 to 6, where -4 and 6 are included, therefore the domain of the relation is [-4,6].
Answer:
-4
Step-by-step explanation:
If z=2
3 (x-12) and x=39, then what is z?
Answer:
621
Step-by-step explanation:
23(39-12) > 23(27)
23(27)= 621
the sum of a number x and 7 is 35
An expression is defined as a set of numbers, variables, and mathematical operations. The value of x that will satisfy the given statement "the sum of a number x and 7 is 35" is 28.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given the statement that the sum of a number x and 7 is 35. Therefore, the given statement "the sum of a number x and 7 is 35" in the form of an expression can be written as,
x + 7 = 35
Subtract 7 from both the sides of the equation,
x +7 - 7 = 35 - 7
x = 28
Hence, the value of x that will satisfy the given statement "the sum of a number x and 7 is 35" is 28.
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find the Surface Area of this shape
Answer:
V≈94423.71
Step-by-step explanation:
V=πr2h=π·342·26≈94423.7088
match each division expression with the correct quotient
Answer:
2) 2x + 6
3) 8x - 2
4) 5x - 8
Step-by-step explanation:
The quotient of expression (18x²+15x) divided by 3x is 6x+5.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
A quotient is a quantity produced by the division of two expressions.
Here,
A) (18x²+15x)÷3x
Now, 3x(6x+5)/3x
= 6x+5
B) (16x²+48x)/8x
= 8x(2x+6)8x
= (2x+6)
C) (56x²-14x)/7x
= 7x(8x-2)/7x
= 8x-2
D) (20x²-32x)/4x
= 4x(5x-8)/4x
= 5x-8
Therefore, the quotient of expression (20x²-32x) divided by 4x is 5x-8.
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Liz's heart beat 285 times in 3 minutes. Her heart beat
times in 1 minute.
Answer:
95
Step-by-step explanation:
285 divided by 3 is 95
A person swims 11 miles downstream in the same time they can swim 7 miles up stream. The speed of the current is 4 miles per hour.
These situations can be represented by the equations
Downstream: t=11/s+4 Upstream:t=7/s-4,
where t stands for time and s is the speed of the swimmer. What is the speed of the swimmer swimming in still water?
Answer:
s = 18 mph
Step-by-step explanation:
At downstream, time is; t = 11/(s+ 4)
At upstream, time is; t = 7/(s - 4)
Since they both are passed in the same time, then ;
11/(s+ 4) = 7/(s - 4)
Cross Multiply to get;
11(s - 4) = 7(s + 4)
11s - 44 = 7s + 28
11s - 7s = 44 + 28
4s = 72
s = 72/4
s = 18
what percent of 19.7 is 24
Answer:
82.083333333333%
Step-by-step explanation:
What is 4/3 ft x 15 inches
I need the anwser in inches
Answer:
3/45
Step-by-step explanation:
2/3x - 1/9x + 5 = 20
Answer:I think the answer is x=27
Step-by-step explanation:
PLEASE HELP ME ASAP I AM BEGGING YOU. NO SPAM ANSWERS. Find the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square. ONLY FIND THE PERIMITER PLZ
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!JUST THE PERIMETER PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Can you make a different question with an image attached?
Send
# 84 square inches
4
4. Luke has a cylinder with a radius of 5 inches and a height of 6 inches. What is the total.
surface area of his cylinder in cubic inches? 8.7B-R
F
G
345.6 in?
251.3 in?
188.5 in
471.2 in?
H
J
Use Pi symbol on ca This assignment has been submitted and is no longer editable.
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Complete Question
Luke has a cylinder with a radius of 5 inches and a height of 6 inches. What is the volume of his cylinder in cubic inches?
Answer:
471.24 cubic inches
Step-by-step explanation:
The formula for the volume of a cylinder =
πr²h
r = Radius = 5 in
h = Height = 6 in
Hence,
Volume = π × (5 in)² × 6 in
= 471.24 cubic inches
Therefore, the volume of his cylinder in cubic inches = 471.24 cubic inches
how do I solve this and what steps do I take to solve it
Answer:
122.46 mi^2
Step-by-step explanation:
IF ans is correct comment back for explanation
Russel has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000. How many pennies in Russell's collection are dated after 2000?
A. 480
B. 720
C. 40
D. 60
Answer:
D. 60
Step-by-step explanation:
Add the percentages of 25% and 35% and you'll get 60.
Answer:
A 480
Step-by-step explanation:
in 2000=480 i don't know how to farther explain it to you.hope that helps.
help me pls i give brainliest
Answer:
Decreased I think because they bumped into the other person
Step-by-step explanation:
Answer:
increased
i just heard my brother say it because he's in highschool. TwT
Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
Answer:
Surface area = 505cm²
Step-by-step explanation:
Surface area of the triangular prism. = 2B + ph
B is the base area
p is the perimeter of the triangle
h is the height of the triangle
Base area = 1/2 * base * height
Base area = 1/2 * 18 * 40
Base area = 9 * 40
Base area = 360cm²
Perimeter of the triangle = 41 + 41 + 18
Perimeter of the triangle = 100cm
height of the prism = 45cm
Surface area = 360 + 100 + 45
Surface area = 505cm²
Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
yes
Step-by-step explanation:
_____X^2+10x+10_____
Anyone know how to do this?
Answer:
y = -1/2 x + 25
The relationship is linear, but it takes some doing.
Step-by-step explanation:
Remark
This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.
You have to introduce another variable which I labeled as z.
Let time = x
Let distance = y
Let the step away from the starting point = z which will be the same for x and y. So 18 and 16 the step away from the start is 3.
So as the time increases, the distance decreases. What we are going to do sort of resembles a parametric relationship.
t starts with 10
x = 10 + 4*(z - 1) and increases by 4 with each step
d starts with 20 and decreases by 2 with each step
y = 20 - (z - 1)*2
Now solve for z in each of the forgoing equations.
x = 10 + 4z - 4
x = 6 + 4z
x - 6 = 4z
(x - 6)/4 = z
y = 20 - 2z + 2
y = 22 - 2z
y - 22 = - 2z
(y - 22)/-2 = z
Since the zs must be kept the same, the left sides are equated
(x - 6)/4 = (y - 22)/-2 Cross multiply
-2(x - 6) = 4(y - 22) Remove the brackets.
-2x + 12 = 4y - 88 add 88 to both sides.
-2x + 100 = 4y Switch the sides
4y = - 2x + 100 Divide by 4
y = -1/2 x + 25
Now for sure you have to try this.
Let x = 14
y = -1/2 * 14 + 25
y = -7 + 25
y = 18
Try another one
Let x = 22
y = -1/2 * 22 + 25
y = - 11 + 25
y = 14
Those two at least check.
What are the vertices of triangle ABC'if triangle ABC is dilated by a scale factor of 3?
Answer:
where is the picture
Step-by-step explanation:
I need the triangle to be able to solve this for you
Find the value of x. PLEASE HELP ILL MARK YOU THE BRAINLIEST!! I've been trying to solve this thing for 30 minutes and I still have nothing
Answer:
x = 3
Step-by-step explanation:
When two chords intersect inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.
4 * 2x = 3 * (x + 5)
8x = 3x + 15
5x = 15
x = 3