Answers
Correct answer:
8cm
Explanation:
Because the two trapezoids are similar, the ratio of their bases must be the same. Therefore, we must set up a cross-multiplication to solve for the missing base:
6x=912, using x as the variable for the missing base.
72=9x
x= 8
Therefore, the length of the longer base of Trapezoid B is 8cm.
Related Questions
Calculate the area and perimeter of the polygon.
Answers
Answer:
a) P = 24.2 units
b) A = 13.9 square units
Step-by-step explanation:
Perimeter = [tex]\sqrt{10}[/tex]+[tex]\sqrt{10}[/tex] + 4[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]
P = 2[tex]\sqrt{10}[/tex] + 8[tex]\sqrt{5}[/tex] which is approx 24.2 units
To find area you must find the height which can be done using the Pythagorean Theorem (we can do this for the small triangle on the left):
([tex]\sqrt{5}[/tex]²) + h² = ([tex]\sqrt{10}[/tex]²)
5 + h² = 10
h² = 5
h = [tex]\sqrt{5}[/tex]
A = bh
A = [tex]\sqrt{5}[/tex] (4 + [tex]\sqrt{5}[/tex])
A = 4[tex]\sqrt{5}[/tex] + 5 which is approx 13.9 square units
25. Determine the slope for (10,-2) and (1, 1).
Answers
Answer:
m=[tex]\frac{-1}{3}[/tex]
Step-by-step explanation:
13. GEOMETRY The formula for the area of a triangle is A = 1/2bh, where A represents the area, b is the base, and h is the height of the triangle. Solve the equation for b.
Answers
Answer:
The formula A = (1/2)bh represents the area of a triangle where A represents the area, b is the base of the triangle and h is the height of the triangle
Step-by-step explanation:
Answer:
b = 2A/h
Solve the equation with substitution
4. What should be added to 13.652 to get 18.9064?
5. What should be subtracted from 30 to get 19.835?
Answers
5.)10.165
Hope this helps
Have a great day/night
Feel free to ask any questions
PLEASE HELP!!!!!! IM HORRIBLE AT MATH
PLEASE PLEASE PLEASE PLEASE HELP!!!!!!!!
Answers
Answer:
2. No, the triangles can't be proven congruent
3. yes, SAS; ΔSTV ≅ ΔSUV
4. yes, SSS; ΔNMQ ≅ ΔNPQ
5. No, the triangles can't be proven congruent
6. yes, SAS; ΔXWZ ≅ ΔXYZ
7. | Reasons |
1. | given (note this is a side) |
2. | given (note this is a side) |
3. | given |
4. | definition of a midpoint (a midpoint bisects the line it is one because it is equidistant from the two endpoints; basically, the two pieces of a line bisected by a midpoint will always be equal) |
5. | SSS Theorem (the two givens beside the midpoint were two sets of equal corresponding sides; since we have three sets of corresponding sides equal, the theorem used here is the SSS Theorem) |
Step-by-step explanation:
Here's a quick review of the two theorems mentioned in this worksheet:
Side-Side-Side Theorem: in reference to congruency, this theorem states that if the three sides of one triangle are equal to the respective sides of another triangle, then the two triangles are congruent.What about SAS? The letters are ordered in that way for a reason: the Side-Angle-Side Theorem tells us that if we have two triangles, and a set of two corresponding sides and their included angle are equal, then the triangles are congruent.By included angle, we mean the angle between two sides.I know, jaelee04, I'm sorry, this explanation is a bit short, but email me and I'll send you my full answer. The warning is that it's really long!
A Cylinder has a radius of 10 feet and a height of 11.4 feet what is the approximate volume of the cylinder?
Answers
Answer:
3579.6 [tex]ft^{3}[/tex]
Step-by-step explanation:
First, write out the equation used to find the volume of a cylinder and place the values in place of the variables. The equation is [tex]\pi[/tex][tex]r^{2}[/tex]*h where r is the radius and h is the height. When we place the values of the variables into the equation we get: [tex]\pi[/tex][tex]10^{2}[/tex]*11.4. Next, square 10 to get 100. This would give you 3.14*100*11.4. When you multiply this together you get 314 times 11.4 which gives you 3579.6 ft cubed.
I believe it's 3581.42 (if the answer needs be rounded to 2 decimal places.
Step-by-step explanation:
area of circle = r×r×π
area of circle × height = volume
10 × 10 × π = 314.16
314.16 × 11.4 = 3581.42
Write an equation in Standard form that represents the graphed line.
Answers
Answer:
5=1/2x -y
Step-by-step explanation:
just move y and y-intercept, put variables on same side
Which function is shown on the graph?
Answers
Answer:
y = (1/2) cos (x)
Step-by-step explanation:
It has the same period as cos x but only goes half as high and half as low. Normalyy, cos(x) goes up to 1 and down to -1.
(X^1/8 y^1/4 z^1/2)^8
Answers
(8 √x 4 √y √z^8)
(8 √x 8 √y^2 8 √z^4)^8
8 √xy^2z^4^8
Solution: xy^2 z^4
Below is the number of service calls a store received over a period of 87 days.
To graph the information into a frequency table, which interval below would be the most appropriate?
A. 1
B. 2
C. 4
D. 10
Answers
the answer is 4 than me later
Answer:
answerbis 4
Step-by-step explanation:
In the diagram below of circle , diameter AB is parallel to chord CD. A. 110° B. 70° D C. 55° h D. 35° A B If mCD = 70, what is mAC?
Answers
Answer:
55
Step-by-step explanation:
here's the working out i did
The measure of arc AC from the given circle is 55 degree. Therefore, option C is the correct answer.
What is relation between angle at the center and the angle at the circumference?The angle subtended by an arc at the center is twice the angle subtended at the circumference. More simply, the angle at the center is double the angle at the circumference.
Given that, in the circle, diameter AB is parallel to chord CD.
Here, measure of arc CD is 70°.
Since, AB is diameter, than the measure of arc AB is 180°.
Now, 180°-70°=110°
So, measure of arc AC = measure of arc CD = 110°/2
= 55°
Therefore, option C is the correct answer.
To learn more about the circle theorems visit:
https://brainly.com/question/19906313.
#SPJ2
PLEASE HURRYYY!!!
M(2, 4) is the midpoint of segment AB. (7,9) are the coordinate for the endpoint B. What is
the length of AB?
Answers
Answe
Step-by-step explanation:
-2x + 4 = 12
Explain what mistake did he make
Answers
Answer:
X=-4
Step-by-step explanation:
-2x + 4 = 12
so what you would do is subtract 4 from itself and 12
4 - 4 = 0
12 - 4 = 8
then we have-
-2x = 8
we then divide 2 from 2 and 8
2 divided by 2 = 0
2 divided by 8 = 4
so x = -4
Need answers within 10 mins help
Answers
Answer:
Step-by-step explanation:
I need help pleaseeeee
Answers
Answer:
the answer is -
Step-by-step explanation:
Answer:
This Looks liKe the rise is -10 and the run is 10
The neighbors' dog barked at Tana 80% of the time she walked by their house. Predict the number of times the dog will bark at Tana if she walks past the house 45 times.
Answers
Find the inverse of y = In2x.
Answers
Step-by-step explanation:
y=2x
interchanging the role of x andy
x=2y
y=x/2
:.inverse of y=2xis y=x/2
Okay I put -646/15 but it’s wrong can someone help me
Answers
Answer:
-30 5/6
Step-by-step explanation:
You are adding two negative numbers, so add their absolute values and make the answer negative.
-28 1/3 + (-2 1/2) =
= -(28 1/3 + 2 1/2)
We add the absolute values 28 1/3 and 2 1/2. We need a common denominator for the fractions. The LCD of 2 and 3 is 6.
= -(28 + 2 + 1/3 + 1/2)
= -(30 + 2/6 + 3/5)
= -(30 5/6)
= -30 5/6
PLEASE HELP BEEN STUCK FOREVER!!!!!!!!!!!!
INCLUDE STEPS
Answers
Answer:
6.9
Step-by-step explanation:
Arc Length Formula: 2rπdata/360
First find data:
In this case, data is the length of arc AB
Arc AB is the central angle: 165 degrees
Substitute radius and data into the formula
2(2.40)(165)π/360
This form(792/360π) is not acceptable since the question is asking for the answer in decimal form. Multiply pi.
Make sure to use the pi symbol, not 3.14.
792/360π
6.91 to the nearest tenth is 6.9
Hope this helps!
I need help please its for math and i put my screenshot under
Answers
Answer:
choice 2, y=1/4x
Step-by-step explanation:
The table shows the relationship between the number of Calories Jacob burns while roller skating and the number of minutes he roller skates,
Minutes Calories Burned
40
200
80
400
120
600
160
800
How many calories will Jacob burn in 1 minute while roller-skating? Enter the answer in the box.
Answers
Answer:
40 calories burned
Step-by-step explanation:
Students drop a 2 kg object from rest out a window that has a
height of 10 m during a lab experiment. The students time the
object to hit the ground and measure 1.2 s. Calculate the
difference between the PE at the top and the KE at the bottom.
a. greater than 75 J
b. less than 25 J
c. between 25 J & 50 J
d. between 50 J & 75 J
Answers
Answer:
a. greater than 75 J
Step-by-step explanation:
Potential Energy at the top = mgh
Mass m = 2kg
g = 9.8m/s^2
height h = 10m
Potential Energy at the top = 2 * 10 * 9.8
Potential Energy at the top = 196Joules
The object is not moving at the bottom, hence the KE of the body at the bottom is 0Joules
difference between the PE at the top and the KE at the bottom = 196 - 0 = 196Joules
Hence the difference between the PE at the top and the KE at the bottom is greater than 75Joules
Solve algebraically the simultaneous equations
x^2+y^2=25
y-3x=13
Answers
Answer:
In the form of (x,y) there are 2 solutions:
(-3,4)
(-24/5, -7/5)
Step-by-step explanation:
First isolate one of the letters (for me I'm using the y of equation 2 because it's easier to solve)
[tex]y-3x=13\\y=13+3x[/tex]
Now that we have y isolated, substitute y in equation 1 with the equation we got previously (y=13+3x)
[tex]x^2+(13+3x)^2=25[/tex]
Now simplify:
[tex]x^2+(13+3x)^2=25\\x^2+9x^2+78x+169=25\\10x^2+78x+169=25[/tex]
Now turn the equation into ax^2+bx+c=0 form by transferring 25 to the other side of the equation:
[tex]10x^2+78x+169=25\\10x^2+78x+169-25=0\\10x^2+78x+144=0[/tex]
Using the quadratic formula we will have the 2 following values:
[tex]x=-3[/tex]
[tex]x=-\frac{24}{5}[/tex]
Substitute the following values into any equation you want (this time I'll pick equation 2 again since its the easiest to solve)
[tex]y-3x=13\\y-3(-3)=13\\y-(-9)=13\\y+9=13\\y=13-9\\y=4[/tex]
[tex]y-3x=13\\y-3(-\frac{24}{5})=13\\y-(-\frac{72}{5})=13\\y+\frac{72}{5}=13\\y=13-\frac{72}{5}\\y=-\frac{7}{5}[/tex]
1890 meters into feet
Answers
Answer:
6200.787
Step-by-step explanation:
Answer:
6200.787
Step-by-step explanation
Please mark me brainliest
The slope of the line that passes through the points (-1,w) and (-10,4) is 1/9
What is the value of w?
A.9/2
B.- I0
C.5
D.1/2
Answers
Answer:
c
Step-by-step explanation:
1.
Real, Imaginary, and Complex: Create a Graph
[suggested time: 5 minutes]
A. In the middle of your page, draw a real number line, labeling integer values from - 10 to 10. Also plot %, - %s,p, 2p, and e.
B. Vertically through o, draw an imaginary number line, labeling i 21, 31,..., 101, above and -1, -21.....-101 below. You should now have a familiar Cartesian coordinate
plane, labeled in a somewhat new way.
Answers
Answer: A is the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
A. In the middle of your page, draw a real number line, labeling integer values from - 10 to 10. Also plot %, - %s,p, 2p, and e.
What is the difference between -120 and 400? Include each step below.
a. Write a subtraction problem
b. Re-Write as an Addition problem
c. Find the answer.
Answers
Answer:
Step-by-step explanation:
a. -120 - 400
b. -(120+400)
c. -120 - 400 = -(120+400) = -520
Which answer choice 10 points
Answers
Answer:
Step-by-step explanation:
Hope this helps and i DID NOT use a Calculator!
Which of the following absolute-value inequality corresponds to -2< X < 4?
Answers
Answer:
-2 is the biggest number because in the negatives the bigger number us always the smaller one.
in the year 2001, a company made 7.7 million dollars in profit. For each consecutive year after that, their profit increased by 7%. How much would the company's profit be in the year 2004, to the nearest tenth of a million dollars?
Answers
Answer:
3.5 billions
Step-by-step explanation: