Answers
Answer:
1. A = 64 cm²
2. A = 240 yd²
3. A = 220.5 cm²
4. A = 193.4 m²
Step-by-step explanation:
1. We want to split this figure into two rectangles. We know the top figure is a rectangle because a rectangle has four right angles. For the bottom rectangle, because the sides are all perpendicular, all of the angles are also right angles.
Because they're rectangles, opposite sides are congruent. So now you can find the measures of the sides.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
2. We want to split this figure into a triangle and a rectangle.
Because the bottom figure has four right angles, we know that it's a rectangle. Therefore, its side measures are 24, 24, 8, and 8 because opposite sides of a rectangle are congruent.
For the triangle, because the sum of the triangle's base and two other segments is 24, we can use 24 - (6 + 6) = base. So the triangle base is 12.
Do this same thing to find the height of the triangle.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
3. We want to split this figure into a triangle and semicircle.
We're already given that the height is 15 and part of the base is 8, but there is no way to assume that the other part of the base is also 8. Remember, it's not to scale.
We know that this is a semicircle because there is a diameter present (a segment that intersects the center of the circle). This means that all radii of the circle are congruent, so the two radii present are both 8.
Because of Reflexive Property, the other part of the triangle base is now proven to also be 8.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
4. We want to split this figure into a rectangle and semicircle.
For the rectangle, because the sides are all perpendicular, all of the angles are also right angles. So we can prove that it is a rectangle.
Because this is a rectangle, opposite sides are congruent. So we have the sides of 15, 7, 15, and 7.
We know that this is a semicircle because there is a diameter present (a segment that intersects the center of the circle). This means that all radii of the circle are congruent.
Because of Reflexive Property, we know that the diameter of the circle is 15. The radius is half the diameter, meaning all radii are 1/2 (15), or 7.5.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
Related Questions
ayudaaaa por favor es urgente
Answers
Answer:
use trig
Step-by-step explanation:
sin(15) = 100/x
x = 100/sin(15)
use calculator
given the expression -x^2-6x+7,when expressed in form a(x+h)^2+k, the value of k is?
Answers
Answer: k = 16
Step-by-step explanation:
The equation is written in the form:
y = ax^2 + bx + c
y = -x^2 - 6x + 7
y = a(x - h)^2 + k where (h, k) is the vertex
a = -1 (from the original equation)
h = -b/2a (this is the equation for the line of symmetry or the x-value of the vertex)
h = -(-6)/2(-1) = 6/-2 = -3
when x = -3, y = ?
y = -(-3)^2 - 6(-3) + 7
y = -(9) + 18 + 7
y = -9 + 18 + 7
y = 16
(-3, 16) is the vertex
Since k is the y-value of the vertex, k = 16
I'll just take it a step further and write the whole equation:
Substitute all the values we found
-1(x +3)^2 + 16
-(x + 3)^2 + 16
solve it 7/10+2/3
pls explain
Answers
a ratio of 10 to 2 is the same as A 8/2 B 8/10 C 12/8 D 5/1
Answers
Answer:
D. 5/1
Step-by-step explanation:
10/2 = 5
5/1 = 5
I hope this helps :)
Jason can travel 24 3/4 miles in 1/2 hour. What is his average speed in miles per hour?
Answers
just multiply the miles by 2 because it is only half an hour
Answer:
24 3/4 miles is the distance
1/2 hour - is time
V=S/t
24\frac{3}{4}
4
3
/ 0.5 = \frac{(24*4+3)2}{4}
4
(24∗4+3)2
=49.5 miles per hour
Ratio and simplify the ratio helpp
Answers
2: 1/2
3: 1/4
4: -4/1
I hope those r the correct answers
The manager of a store increases the price of a popular product by 7%. Let t be the original price of the product. The new price is t + 0.07t. Find an expression equivalent to the new price. I NEED HELP ASAP PLEASEEEEEEEEEEE!!!!
Answers
Answer:
0.07t+t
Step-by-step explanation:
The required new expression after increasing the price by 7% is 1.07t, where t is the original price.
The manager of a store increases the price of a popular product by 7%. let t be the original price of the product. The new price is t + 0.07t.
to find an expression equivalent to the new price.
Cost price is the price for the buyer pays to the seller for an object or product.
Here, let the whole proportion of the price of the product is t.
now price increased by 7% so 7/100*t = 0.07*t
The total increase in price = t + 0.07t
= 1.07 * t
So the new expression for the product after a 7% hike in price, 1.07t
Thus, the required new expression after increasing the price by 7% is 1.07t, where t is the original price.
Learn more about cost price here:
https://brainly.com/question/11027396
#SPJ5
Which equation represents the like that is parallel to y= 3 and passes through (-2,-8)
A. X=-2
B. X=-3
C. Y=-8
D. Y=3x-2
Answers
Hope this helps
plz help me with this question
Answers
If a = 12 in and b = 25 in, what is the area of the pencil? A. 372 in2 B. 169 in2 C. 322 in2 D. 444 in2
Answers
Answer:
1169 in^2 Approx
Step-by-step explanation:
Given data
We know that the shape of the pencil is cylindrical
Hence the dimension is
Diameter= 12in
Radius= 12/2= 6in
Height= 25in
The surface area of a cylinder is given as
T.S.A.=2πrh+2πr^2
Substitute
T.S.A.=2*3.142*6*25+2*3.142*6^2
T.S.A.=942.6+226.224
T.S.A=1168.824
Hence the area is 1169 in^2 Approx
Explain how you know that 88 is a solution to the equation 18x=11 by completing the sentences: The word "solution" means . . . 88 is a solution to 18x=11 because . . .
Answers
Correct Question:
Explain how you know that 88 is a solution to the equation 1/8x =11 by completing the sentences:
The word "solution" means . . .
88 is a solution to 1/8x=11 because . . .
Answer/Step-by-step explanation:
✔️The word solution means the value of the unknown variable, x. This means, when the value of x is substituted into the equation, the equation becomes balance as the value on the left equals the value on the right.
✔️88 is a solution to ⅛x = 11 because:
if we substitute x for 88 into the equation, both sides would be equal.
Thus:
⅛×88 = 11
11 = 11
what is the slope of the line if the equation is 5x-3y=9
Answers
Answer:
Slope = 5/3
Step-by-step explanation:
5x - 3y = 9
Write in slope y-intercept form: y = mx +b
-3y = -5x + 9
Divide the whole equation by (-3)
[tex]\frac{-3y}{-3}=\frac{-5x}{-3}+\frac{9}{-3}\\\\y =\frac{5}{3}x- 3[/tex]
Slope =5/3
omg! please help! it’s due in 4 hours and i don’t know the answers to it
Answers
PLEASE HELP I BEG YOU!!!
What is the longest line in a cube that has a side length of 7 cm?
Answers
Answer:
14cm
Step-by-step explanation:
All side lengths in a cube will be 7 as the properties of a cube are such that all the side lengths are the same.
Think of the longest line in a cube as a hypotenuse on a triangle.
[tex]7^{2} + 7^{2} = c^{2}[/tex]
49 + 49 = [tex]c^{2}[/tex]
[tex]c^{2}[/tex] = 98
c = [tex]\sqrt{98}[/tex]
[tex](\sqrt{98})^{2} + (\sqrt{98} )^{2}[/tex] = [tex]c^{2}[/tex]
[tex]c^{2}[/tex] = 98 + 98
[tex]c^{2}[/tex] = 196
c = [tex]\sqrt{196}[/tex]
c = 14
The longest line in a cube that has a side length of 7cm is 14cm.
I need help pls thank you
Blah blah
Answers
Answer:
TSP RSU
Step-by-step explanation:
Hope this helps!
Billy is 80 feet from the base of a building. The angle of elevation to the top of the building is 35 degrees. If the distance from Billy's eyes to the ground is 5 feet, how tall is the building?
Answers
Answer:
61 ft
Step-by-step explanation:
The detailed step by step solution has been attached in pen and paper format. Feel free to ask any doubt.
Find g−1(x) when g(x)=3/5x−9.
A) 5/3x+1/5
B)5/3x−1/9
C)5/3x+9
D)−3/5x+9
Answers
I hope this helps you !
The height of a right cone is 3 inches shorter than the radius. What is the height of the cone if the volume is 17 cubic inches?
a. 3.454 inches
b. 4.01 inches
c. 7.01 inches
d. 1.01 inches
Answers
Answer:
1.03 inches
Step-by-step explanation:
Volume of a come = 1/3πr²h
If the height of a right cone is 3 inches shorter than the radius, then;
h = r - 3
Substitute
V = 1/3πr²(r-3)
Given that V = 17in^3
17 = 1/3πr²(r-3)
17*3 = 3.14r²(r-3)
51/3.14 = r²(r-3)
16.242 = r²(r-3)
r² = 16.242
r = √16.242
r = 4.03
Since h = r - 3
h = 4.03 - 3
h = 1.03 inches
hence the height is 1.03 inches
PLZ PLZ PLZ PLZ PLZ PLZ HELP I NEED HELP PLZZZZZZZZZ NO ONE HAS HELPED ME FOR AN HOUR 25 POINTS
The expression 2(4+v)+9v is simplified in several steps below.
For each step, choose the reason that best justifies it.
8+2v+9v
commutative property of addition
associative property of addition
distributive property of addition
combining like terms
8+11v
commutative property of addition
associative property of addition
distributive property of addition
combining like terms
11v+8
commutative property of addition
associative property of addition
distributive property of addition
combining like terms
Answers
Answer:
C, D, A
Step-by-step explanation:
Distributive property
Combining like terms
Communitive property
solve the x. 4x+9=2x-1
Answers
Answer:
The answer is x = -5.
Step-by-step explanation:
1) Subtract 2x from both sides.
[tex]4x + 9 - 2x = - 1[/tex]
2) Simplify 4x + 9 - 2x to 2x + 9.
[tex]2x + 9 = - 1[/tex]
3) Subtract 9 from both sides.
[tex]2x = - 1 - 9[/tex]
4) Simplify - 1 - 9 to -10.
[tex]2x = - 10[/tex]
5) Divide both sides by 2.
[tex]x = - \frac{10}{2} [/tex]
6) Simplify 10/2 to 5.
[tex]x = - 5[/tex]
Therefor, the answer is x = -5.
Solve the equation. 1/3a = -5
Answers
Answer:
The answer is a = -15
Step-by-step explanation:
1/3a = -5
3 × 1/3a = 3 × (-5)
a = 3 × (-5)
a = -3 × 5
Answer is a = -15
Answer:
a = 15
Step-by-step explanation:
Just answer
Which expression is equivalent to 46 - 2x)?
A) 24-8x
B) 24-6x
C) 10-8x
D) 10-6x
Answers
Answer:
24-8x
Step-by-step explanation:
Answer:jghgghfgfhgfhghfj
Step-by-step explanation:
If ∠2 and ∠3 are complementary angles and m∠2 = 24°, find m∠3.
Answers
Answer:
sorry dont know
Step-by-step explanation:
Answer:
yessadadasdadada
Step-by-step explanation:
Dale runs 10 miles in 75 minutes. At the same rate, how many miles would he run in 69 minutes?
Answers
Answer: 9.2 miles
Step-by-step explanation:
Answer: 9.2 miles
Step-by-step explanation: hope this helps you!
Someone help with the second question
Pleaseeeee
Answers
Answer:
Answer shown above.
Have a good day
Use the Pythagorean Theorem to find the distance between points F and C.
What is the distance between (-4,-1) and ( -2,-2)
Answers
Answer:
-2, -1
Step-by-step explanation:
Some one help pleaseeere
Answers
Answer:
m = 2/3, you were correct
Step-by-step explanation:
plot the point on a graph
calculate the rise by going up alongside the y axis
the rise is 2
calcualte the run it takes to get to the second point
the run is 3
m = rise/run = 2/3
m = 2/3
Plz mark as brainliest if correct! Have a nice day!!!
A BUSHEL OF APPLES WEIGHS ABOUT 42 POUNDS. THERE ARE 4 PECKS OF BUSHELS. IT TAKES 2 POUNDS OF APPLES TO MAKE ONE PIE. HOW MANY PIES CAN YOU MAKE WITH ONE PECK OF APPLES?
Answers
Answer:
84 pies
Step-by-step explanation:
if you multiply 42 pounds by4 pecks. You get 168 pounds. and then you divide that by 2 and you can make 84 pies
Please give me the correct answer.Only answer if you're very good at math.
Answers
Answer:
1st graph
Step-by-step explanation:
this is the only graph that begins at 24, has a negative slope, is linear, and ends at (8,0) which, after 8 hours losing 3 pots per hour, makes sense
I can tell because at 0 hours, they started out with 24 plants, which means there should be a point at (0,24). I also know that free every hour, they remove 3 plants, so the line should be going down (as the number of pots keeps on getting lower).
Area of Shape please !!!
Answers
Answer:
135 cm squared
Step-by-step explanation:
9x20 (for the big bottom rectangle) plus (14-9)x11 because you already found the area of the big rectangle.