Answer:
The height is equal to 10.
Step-by-step explanation:
With an isosceles trapezoid, the two legs are the same, and then the two bases. There are 2 sides given that are the same: 25. So now we know that the two legs are 25, and the two bases are 16 and 30 (doesn't really matter which length goes with which base).
To find the volume of an isosceles trapezoid, you need to use the formula [tex]\frac{30+16}{2}[/tex] · [tex]h_{1}[/tex] · [tex]h_{2}[/tex].
You have to find the average of the bases in the trapezoidAfter that, you have to multiply the average by the trapezoid heightAfter mutliplying by the trapezoid height, you need to multiply the whole thing by the prism height, which we need to findSo, to find [tex]h_{1}[/tex], which is the trapezoid height, we need to use the Pythagorean Theorem. We know that the bottom base is 30, so when we draw altitudes from the top base to the bottom base, they are the heights of the trapezoid. The two triangles formed from the altitudes are congruent (I could prove it but just trust me that they are). The rectangle that formed has the top and bottom sides equalling 16. So now we know that the triangles that were formed have bases of 7 because of Part-Whole Postulate (PWP). Since the sides are given as 25, we can find the missing side, which happens to be the height of the triangle, using the Pythagorean Theorem.
The equation would be: [tex]7^{2} +h^{2} =25^{2}[/tex]. If you do that math, you get [tex]49+h^{2} =625[/tex] after simplifying. Now you bring the 49 to the other side and subtract, leaving you with [tex]h^{2} =576[/tex]. Now you have to square root both sides, and you should end up with h=24.
Now that we know the height, we can substitute it: [tex]\frac{30+16}{2}[/tex] · [tex]h_{1}[/tex] · [tex]h_{2}[/tex] =5520 turns into
For the end-of-year party, Mt. Rose Middle School ordered a total of 112 pizzas. There were eight fewer veggie pizzas than there were pepperoni pizzas. There were three times as many combo pizzas as pepperoni pizzas. How many pepperoni pizzas were ordered?
HELPPPPP PLSSSSSSSSSS
Answer:
24 Pepperoni pizza
Step-by-step explanation:
v = veggie
p = pepperoni
c = combo
v+p+c=112
p-8 = v
3p=c
substitute both values in equation above, thus,
p-8+p+3p = 112
5p-8=112
5p=120
p=24
Write the numerical coefficient of ‘q’ in the expression 10p ― 5q + 24
Answer:
-5 is your answer
Step-by-step explanation:
Hope it helps you
Micah needs to buy some new shoes for football. At the sporting goods store, he finds 2 shoe pairs on sale for $24.80 each. He buys them both and finds out that he saved a total of $22.38. If he saved the same amount on each pair, what was the original price of each shoe pair? (my friend asked this question lol i need to know)
Answer:
$35.99
Step-by-step explanation:
He saved 22.38 so divide by two and you get 11.19 and add that to the price of each shoe on sale you get 35.99
Answer:
$35.99
Step-by-step explanation:
22.38 divide by two equals 11.19 and add the price of each shoe on sale
witch you get $35.99
In the kite below, mAngle B is-congruent-to mAngle D. The measure of Angle D = 87 degrees, and the Angle C = 74 degrees.
What is the measure of Angle A?
90°
112°
122°
199°
Answer:
112°
Step-by-step explanation:
Answer:
112
Step-by-step explanation:
PLEASE HELP ASAP is this relationship linear, exponential, or neither?
Answer:
neither
gfhhhufkufjkg
Find the volume of the pyramid
1120
3360
560
1680
15 points!!
[tex] \huge \underline \pink {answer}[/tex]
1120
[tex] \huge \underline \pink {solution}[/tex]
ℹ️we have to find base area of the given pyramid first..ℹ️
▶️ let the base of the pyramid be "x"
▶️ x = width of the base × length of the base
▶️ x = 16 × 14
▶️ x = 224
hence the base is 224.. Now ,
▶️ volume of pyramid = 1/3 × base area × height
▶️ volume of pyramid = 1/3 × 224 × 16
▶️ volume of pyramid = 1120³
I NEED AN ASNWER ASAP!!!!
Which inequality is represented by this graph?
x greater-than negative 53
x less-than-or-equal-to negative 53
x less-than negative 53
x greater-than-or-equal-to negative 53
Answer:
X is greater than negative 53
What do you do when you are working on a math word problem
Answer: Read the problem out loud to yourself.
Draw a Picture.
Think “What do I need to find?”
List what is given.
Find the key words.
Solve.
Check your work.
Step-by-step explanation: hope this helps :)
ANSWER QUICKLY FOR A BRAINLIEST !! AND LOTS OF POINTS
Answer: 124 ft after 0.5 seconds
Step-by-step explanation:
Find h(0.5)
h(0.5) = -16(0.5)^2 + 64(0.5) + 96
-16(0.25) + 64(0.5) + 96
-4 + 32 + 96
124
Answer:
thanks for points
Step-by-step explanation:
If I had 60 units needed and units per case was 14 how many cases and additional units I got
Answer:
4 with a remainder of 4
Step-by-step explanation:
60 divided by 14 is 4 with a remainder of 4
The additional number of units required is 10 units.
Given that:
Total number of units needed = 60 units
Total number of units per case = 14
How to find the total number of cases required for the given question?So, the total number of cases required=Number of units needed / number of units per case.
Number of cases required = 60/14 = 4.285 (this means that 5 cases are required as 4 cases won't be up to 60 units)
With 5 cases, we have exceeded the required units needed :
Additional units will be : (14×5) - 60
Additional units = 70 - 60 = 10 units
Therefore, the additional number of units required is 10 units.
To learn more about the unitary method visit:
https://brainly.com/question/23423168.
#SPJ2
The first is 4 inches wide and 15 inches long. The second is 9 inches wide. Find the length of the second rectangle. A 6.67 inches B 2.4 inches C 41 inches D 33.75 inches
Answer:
D - 33.75
Step-by-step explanation:
If the rectangles are similar, then you can use this cheat:
Width:
9/4 = 2.25
2.25 is the scale factor between the two rectangles.
Using the new-found scale factor, you can do this:
15 x 2.25 = 33.75
This means the length on the second rectangle is 33.75 inches long.
Hoping this helps you! :)
Need help with 20! Have a nice day
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Profit and loss.
Since, in the comparison for the better buy than the 4 boxes for $3.79 is
Option A.) 6 for $5.75
because all other three are costlier than the their original price,
also, 3.79/4 = $0.94
if, $0.94 * 6 = $5.685
so, $5.685 means,the the buy is better that original price.
The unit of ratio is expressed in
a) Metre
b) Gram
please help does anyone know this
answer choices
1. 65
2. 20
3. 35
4. 70
Answer:
70
Step-by-step explanation:
Hello There!
So if you didn't know an exterior angle of a triangle is equal to the two opposite interior angles of a triangle
So basically
∠XYZ=∠WXY+∠XWY
so to find ∠XWY we subtract the value of ∠WXY (45) from the value of the exterior angle (115)
115-45=70 so ∠XWY=70
Answer:
?+45=115° sum of two interior angle of the triangle is equal to the exterior angle
<XWY=115-45=70
m/4=16 what does m equal?
Answer: m=64
Step-by-step explanation:
Multiply 16*4=64
64/4=16
Answer: M=64
Step-by-step explanation:
hope this helps
have a nice day/night
bye ^_^
What’s the equation of a line with an undefined slope passing through (-1,7)
Answer:
y=7
Step-by-step explanation:
can somebody help me?
Answer:
15x + 7
Step-by-step explanation:
8x + 16 + 7x - 9 =
15x + 7
Hope that helps!
Can someone answer this question if you know the answer.
Answer choices:
A. 1/20
B. 40%
C. 1/40
D.50%
Answer:
It's C
Step-by-step explanation:
What is the Average?
Answer:
-3
Step-by-step explanation:
Answer:
average =(-34+-37)/2=-71/2=-35.5
David drove 580 km on 7 hour journey. on the city roads he drove 60km/h and on the he drove 100km/h. How long did he drive at each rate?
Answer:
3 hours on the city roads and 4 hours on the other roads
Step-by-step explanation:
580 (total miles driven) - 400 (4 hours of driving 100km/h) = 180 (miles left)
180 (miles left to drive) / 60 (km/h) = 3 (hours driven at the speed of 60km/h)
I hope this helps :)
EASY!! PLEASE HELP!! A silo casts a shadow that is 99 feet long. Next to the silo is an 18-foot-tall barn that casts a shadow that is 13.5 feet long. How tall is the silo?
Answer:
74.24ft tall, you were right!
Step-by-step explanation:
13.5/18 = 0.75
This is the ratio of shadow by actual height that you will use to find the height of the silo so now you multiply:
99*0.75 = 74.25
74.25 is the exact measurement of the taller silo's height.
2x + 3y , x = 7 , y = 3
Answer:
23
Step-by-step explanation:
plug in
2(7)+3(3)
14+9
23
Answer:
23 is the answer
Step-by-step explanation:
2*7+3*3
14+9
23
Write a equation that is represented by the ratio table.
Look in the photo
Answer:
the equation is p=8m. x=24
Step-by-step explanation:
The value of p is 8 times greater than m. So 8 times greater than 3 is 24.
2x+a=5-bx
PLEASE HELP THIS IS SUPER URGENT.... WHOEVER ANSWERS WILL BE MARKED BRAINLIEST
Answer:
If x is 4 and b is 6 the equation would have one solution
if x is 7 and b is 5 the equation would have no solutions
if x is 8 and b is 6 the equation would have infinitely many solutions
Step-by-step explanation:
i meant to type a.
just pretend x = a
mark me as brainliest pls
which of the following is an identity?
Answer:
B
Step-by-step explanation:
Tanx=sinx/cosx
Cotx=cosx/sinx
a car is traveling down a highway at a constant speed, described by the equation d=55t, where d represents the distance, in miles, that the car travels at this speed in t hours.
Step-by-step explanation:
69
A car dealership decreased the price of a certain car by 4% . The original price was $39,200.
Answer:
37,632
Step-by-step explanation:
Subtract 4% from 39,200 and you'll get 37,632
Please tell i really need the answer:
Q7) A rectangular piece of land measures 8 m by 5m. It is to be fenced with four lines of wire. What length of wire is needed for fencing?
Answer:
26m
Step-by-step explanation:
8m x 2 = 16
5m x 2 = 10
16m + 10m = 26m of wires
A photographer rented a booth at an art fair for
$630. The photographer sold each photograph
for $45 and made a total of $1,980 after
paying for the booth. How many photographs
did the photographer sell at the fair?
Answer:
58
Step-by-step explanation:
1980+630 then divide by 45
Bailey works at the donut shop and saves 10% of each paycheck. She put $12.50 into her savings account out of her most recent paycheck. What was the amount of
Bailey's most recent paycheck?
$1250.00
Answer:
125$
Step-by-step explanation:
1250/10=125
Answer:
$125
Step-by-step explanation:
$1250 ÷ 10 = $125