The trapezoid ABCD has bases AB = 15 and CD = 5, thigh AD = 9 and diagonal BD = 12. Find:
a) the height h
b) S
c) the perimeter P of the trapezoid
Please someone help me
Answers
Answer:
The height of the trapezoid is 6.63 units
The perimeter of the trapezoid is 38 units
Step-by-step explanation:
Whenever a geometry problem is given, it is often useful if it is sketched out. A sketch of this problem can be found in the image attached.
A)
We can see that a right-angled triangle is formed between points BED, with line BE being the height, h.
To get the dimensions of the line EB, we subtract the dimensions of DC from AB. This will give 15 -5 = 10
hence the dimensions of the righ angled triangle are
DE= h
DB = 12 (diagonal)
EB = 10
From Pythagoras' theorem,
[tex]h =\sqrt{12^2 -10^2}=6.63[/tex]
The height of the trapezoid is 6.63
B)
We can get the perimeter of the trapezoid by adding the dimensions of all four sides together.
This will be
AD + DC + CB + AB
However we can assume for this case that it is a symmetrical trapezoid, and hence AD = CB
Thus, perimeter =
2 (AD) + DC +AB
2(9) +5 +15 = 38.
The perimeter of the trapezoid is 38 units
Related Questions
Find the difference 0.2 - 0.05 =
Answers
Answer:
0.2-0.05=0.15
Step-by-step explanation:
0.2=0.20
0.20-0.05=0.15
The required difference between 0.2 and 0.05 is 0.15, which is determined by the subtraction operation.
To find the difference between 0.2 and 0.05, we subtract 0.05 from 0.2:
0.2 - 0.05 = 0.15
The difference between 0.2 and 0.05 is 0.15.
When subtracting decimals, we align the decimal points and subtract each place value. In this case, both numbers have one decimal place, so we subtract the tenth place.
Starting from the right, we have 0 in the tenth place of 0.2 and 0 in the tenth place of 0.05. Subtracting 0 from 0 gives us 0.
Therefore, the difference in the tenth place is 0.
Since there are no other place values to subtract, the resulting difference is 0.15.
Learn more about subtraction here:
https://brainly.com/question/1927340
#SPJ6
The circumference of a circle is 7.4mm.
Find the length of the diameter.
Give your answer rounded to 3 SF.
Answers
Answer:
2.355cm
Step-by-step explanation:
Arian has 780 in a savings account that earns 2.5% simple interest annually. How much money will be in her account if she does not make any deposits or withdrawals in 2 years?
Answers
Answer:
819
Step-by-step explanation:
We solve the above question using simple interest
The formula for the total amount in a bank amount when it earn simple interest annually is:
A = P(1 + rt)
When
P = Initial amount in the account = 780
r = Simple Interest rate = 2.5% = 0.025
t = 2 years
A = 780(1 + 0.025 × 2)
A = 780(1 + 0.050)
A = 780(1 .050)
A = 819.00
The amount of money that will be in her account if she does not make any deposits or withdrawals in 2 years is 819.
A The integer with the greatest value is the one that has the greatest absolute value.
B The integer with the greatest value is one that is farthest from zero on the number line.
C The integer with the greatest value is the one that is farthest to the right on the number line.
D The integer with the greatest value is the one that is farthest to the left on the number line.
Answers
Answer: B The integer with the greatest value is one that is farthest from zero on the number line.
Step-by-step explanation: hope it correct :D
Calvin evaluated Negative two-thirds times 5 and one-sixth using the steps below.
Step 1: Negative two-thirds time (5 + one-sixth)
Step 2: (Negative two-thirds + 5) times (Negative two-thirds + one-sixth)
Step 3: 4 and one-third times negative one-half
Step 4: Negative 2 and one-sixth
Which describes Calvin’s error?
In step 1, he incorrectly broke up 5 and one-sixth.
In step 2, he distributed the Negative two-thirds instead of the 5.
Answers
Answer:
The answer is C on Edge 2021
Step-by-step explanation:
In step 2 he confused the multiplication and addition signs
Answer:
C
Step-by-step explanation:
got it right
What is the vertex of the function defined as
g(x) = f(x – 5) + 3?
Answers
Answer:
f=gx−3/x−5
Step-by-step explanation:
Step 1: Flip the equation.
fx−5f+3=gx
Step 2: Add -3 to both sides.
fx−5f+3+−3=gx+−3
fx−5f=gx−3
Step 3: Factor out variable f.
f(x−5)=gx−3
Step 4: Divide both sides by x-5.
f(x−5)/x−5=gx−3/x−5
Gabriella went shopping for a new video game. The listed price of the video game was $47, but the price with tax came to $51.23. Find the percent sales tax.
Answers
Answer:
The anser is 9
Step-by-step explanation:
Rectangle ABCD has a width of 8 yards and a length of 20 yards. Rectangle QRST, which is similar to rectangle ABCD, has a length of 40 yards.
Find the scale factor of ABCD to QRST and the perimeter of each rectangle.
Answers
Answer: 16 yards would be your answer
The scale factor of ABCD to QRST is 1:2
The perimeter of rectangles ABCD and QRST are 56 yards and 112 yards respectively.
Rectangle ABCD has a width of 8 yards and a length of 20 yards.
Rectangle QRST is similar to rectangle ABCD.
Rectangle QRST has a length of 40 yards.
Scale factor:Therefore, the scale factor of ABCD to QRST can be calculated as follows:
let
x = width of rectangle QRST
8 / x = 20 / 40
8 / x = 1 / 2
x = 16
The scale factor of ABCD to QRST is 1:2
Perimetersperimeter ABCD = 2(8 + 20) = 56 yards
perimeter QRST = 2(16 + 40) = 112 yards.
learn more on similar rectangles here: https://brainly.com/question/8956702?referrer=searchResults
I need help with this question...
Answers
Answer:15
Step-by-step explanation:
since we are solving for y, we want to isolate y on one side.
6x+6=5y+10
-10 -10
6x-4=5y
divide both sides by 5
6/5x-4/5=y
ah hurry!
In a bag, you have a strip of paper with the numbers 1-10 written on the strips. If one strip of paper is pulled from the bag and then replaced, what is the probability of the following events:
pick the number 3 and then picking the number 6.
A: 1/100
B: 1/10
C: 3/10
D: 6/10
Answers
Answer: A
Step-by-step explanation: 10x10=100
Michael is purchasing back to school supplies. He gets a math workbook for $19.88, a calculator for $35.97, and a pack of pencils for $8.27. How much did he spend on school supplies?
Answers
Answer:
$64.12
Step-by-step explanation:
Michael is purchasing back to school supplies. He gets a math workbook for $19.88, a calculator for $35.97, and a pack of pencils for $8.27. How much did he spend on school supplies?
The amount that he spent on school supplies is calculated as:
Cost of math workbook + Cost of a calculator for + Cost of a pack of pencils for
$19.88 + $35.97 + $8.27
= $64.12
Answer:
$64.12
Step-by-step explanation:
Which of the following represents the factorization of the binomial below?
x² - 121
O A. (x-11)(x-11)
B. (x +11)(x+11)
C. (x +11)(x-11)
D. (X)(x-121)
Answers
Answer:
C. (x + 11) (x - 11)
Step-by-step explanation:
x² - 121
= x² - 11²
= (x + 11) (x - 11) (Difference of two squares)
Find the missing value
7/8 = x/28.8
WITH WORK
Answers
Answer:
[tex]\displaystyle x = 25.2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{7}{8} = \frac{x}{28.8}[/tex]
Step 2: Solve for x
Cross-multiply: [tex]\displaystyle 201.6 = 8x[/tex]Isolate x term: [tex]\displaystyle 25.2 = x[/tex]Rewrite: [tex]\displaystyle x = 25.2[/tex]Ramona has a bag that contains candies of the same size and shape. There are 5 green candies, 4 orange candies and 3 yellow candies. She draws a candy at random, replaces it, and then draws a second candy. What is the probability that both candies will be orange?
Answers
Answer:
the answer is 1/3
Step-by-step explanation:
PLZ NEED HELP NOW TAKING TEST 40 POINTS
Two trains are traveling between city A and city B a distance of 4000 kilometers (km). The regular train travels at a speed of 80 kilometers per hour (km/h). The express train leaves at the same time on a parallel track and travels at 100 km/h. The formula for speed (S) is S=D/T where S is speed, D is distance and T is time. How much earlier will the express train arrive at city B?
10 HOURS
40 HOURS
50 HOURS
90 HOURS
Answers
Answer:
40 hours
Step-by-step explanation:
first i want to know the answer i think it is 40 hours or 10 hours or 50 or maybe 90 hours
i need help.....plz.
hopefully u can solve the problem
but i need the answer asp
Answers
Answer:
I believe the answer would be 4 :) hope this helps
the answer is definitely 4
What is the Mark the absolute minimum point of the graph
Answers
Answer:
is in the point x = 1, y = -5
Step-by-step explanation:
The absolute minimum of a graph is the point that is the most far below the x-axis.
Such that if we draw a horizontal line parallel to this point, this line should not intersect the graph in another point. It is usually associated with the lowest value of the variable y.
In the graph, we can see that in the extremes we have dots, so the graph does not continue.
Then we can be sure that the absolute minimum is at the bottom of the large curve, that is in the point x = 1, y = -5
how do yo do this question I have to
Solve the System by Substitution:
y = x-2
x + y = 4
Answers
Find the solutions to the quadratic. *
y = (x + 13)(x - 21)
Answers
Answer:
[tex]\huge\boxed{-13, 21}[/tex]
Step-by-step explanation:
The most common way to solve for the roots of a polynomial is to use the Quadratic formula, which will return us with two values of x that make the equation equal 0.
...however, this form of the equation is already in root form. If we multiplied these two terms, we'd get [tex]x^2 - 8x -273[/tex], and when we factor that, we'd get -13 and 21.
Roots are usually written in the form [tex](x-a)(x-b)[/tex], where the zeroes will be the value of x that makes each binomial equal 0 - aka, the opposite of a and b.
The opposite of 13 is -13, and the opposite of -21 is 21.
Therefore, the solutions of this equation are -13 and 21.
Hope this helped!
PLEASE HELP ME ASAP
The m
Answers
7207689984 !!!!!!!!!!!!!!
Answers
Answer:
838494393928262829292928288!!!!!!!!!!!!!!!$
What is the probability of rolling a number divisible by 3 on a 6-sided standard number cube?
Answers
Answer:
1/3
Step-by-step explanation:
A combination lock is to have 4 digits (using the numbers from 1 to 9 (ie No Zero)How many different combinations are there that have all different numbers.
Answers
Answer:
3024
Step-by-step explanation:
You have to think of this in choices. You have 9 choices for the first lock (because there are 9 numbers). We would have 9 choices for the second lock, but we used one number for the previous one. So we would have 8 choices. We would continue with 7 choices for the third lock and 6 for the fourth.
Multiplying this we get 9x8x7x6=3024
Solve the equation! ^w^
Answers
Answer:
Your correct answer would be 1
PLEASE HELP! DUE TOMORROW 1-8-21 !! Look at these equations. Write each equation in slope-intercept form. Are these equations the same or different? Explain. I don’t know how to do the middle equation so please show work for that.
Answers
Answer:
y = 2x-4
all the equations are the same as the slope-intercept form is the same for all the equations
Step-by-step explanation:
slope-intercept form:
[tex]y = mx + b[/tex]
2x-3 = y+1
i) move y to the left-hand side and change its sign-y+2x-3 = 1
ii) move 2x-3 to the right-hand side and change its sign-y = 1-2x+3
iii) add the numbers-y = (1+3)-2x
-y = 4-2x
iv) change the signs on both sides of the equationy = -4+2x
v) use the commutative property to reorder the terms( commutative property: the number on which we operate can be moved or swapped from their position without making any difference to the answers )
y = 2x-4
2x-6> -16 and 3x-10≤8 Graph the solution to this inequality on the number line.
Answers
Answer:
Go to desmos. com and you can graph and see the points of it
Step-by-step explanation:
Desmos. com <----- It's going to be your friend dude
Math10. com
A right cylinder has a diagonal length of 37 and a total surface area of 492.
What is the height of the cylinder?
A. 35
B. 42
C. 25
D. 17
E. 32
Answers
Answer:
Step-by-step explanation:
A right cylinder has a diagonal length of 37 and a total surface area of 492.
What is the height of the cylinder?
A. 35
B. 42
C. 25
D. 17
E. 32
Triangle ABC Triangle DFE. What is the measure of Angle E in degrees?
Answers
Answer:
Angle E is 30⁰
Explanation:
If triangle ABC= triangle DFE then they are both the same it's just that in this case the triangles are mirrored meaning that Angle C= Angle E
Making Angle E: 30⁰
Round 1.453 to the nearest tenth.
Answers
Answer:
1.5
Step-by-step explanation:
Answer: 1.5 hope this helps if you Wana know how I got that then mark me brainest
Step-by-step explanation:
Mrs.Jones cuts an apple into eights. She eats 3/8 and give her son and daughter the rest
Answers
Answer:
i don't know what the rest of the question is, but she gives her kids 5/8 of an apple
Step-by-step explanation: