Answers
Given:
The figure of a trapezoid.
Area of the trapezoid = 14.3 square yd.
To find:
The value of first base, i.e., [tex]b_1[/tex].
Solution:
From the given figure, it is clear that
Vertical height = 2.6 yd
Second base = 7.9 yd
The area of a trapezoid is:
[tex]A=\dfrac{1}{2}(b_1+b_2)h[/tex]
Putting [tex]b_2=7.9,\ h=2.6,\ A=14.3[/tex] in the above formula, we get
[tex]14.3=\dfrac{1}{2}(b_1+7.9)(2.6)[/tex]
[tex]2\times 14.3=(b_1+7.9)(2.6)[/tex]
[tex]28.6=2.6b_1+20.54[/tex]
Isolate the variable term.
[tex]28.6-20.54=2.6b_1[/tex]
[tex]8.06=2.6b_1[/tex]
[tex]\dfrac{8.06}{2.6}=b_1[/tex]
[tex]3.1=b_1[/tex]
Therefore, the value of [tex]b_1[/tex] is equal to 3.1 yd.
Related Questions
5 (x + 8) = -10 what's the answer
Answers
Answer:
x = - 10
Step-by-step explanation:
5(x + 8) = - 10
5x + 40 = - 10
5x + 40 - 40 = - 10 - 40
5x = - 50
5x ÷ 5 = - 50 ÷ 5
x = - 10
Whats the answer easy 20 points
Answers
Step-by-step explanation:
Option C is the correct one.
I hope it is helpful.Give brainliest answer if u satisfied with my answer.
step by step explanation
What is the measure of ZMRN?
3°
5°
18°
28°
Will give brainliest
Bc
Answers
Answer:
the answer is c. 18 degrees
Step-by-step explanation:
(8x4 + 7x3 - 9) – (5x2 - 8x + 6)
Answers
Answer:
(8x4 + 7x3 - 9) – (5x2 - 8x + 6)
please help with math problem then write 5 sentences explaining the steps. (no links)
Answers
[tex](7 \times 8 - 4) + (6 - 2) \\ (56 - 4) + (6 - 2) \\ 52 + (6 - 2) \\ 52 + 4 \\ 56[/tex]
Answer:
Solution given;
P:parenthesis
E:exponents
M: multiplication
D: division
A:addition
S:subtraction
Now
(7×8-4)+(6-2)
According to PEMDAS rule doing calculation inside a bracket.
(7×8-4)+(6-2)
1st doing multiplication inside a bracket
(56-4)+(6-2)
2nd subtracting inside a bracket
(52)+(4)
3rd open bracket
52+4
4th add
56
56 is a required answer.
ASAP WILL GIVE BRAINLIEST 50 POINTSS
Find the volume of the figure.
Volume =
Answers
Answer:
90 m³Step-by-step explanation:
The triangle base has:
b = 10 m, h = 3.6mArea of the base:
A = 1/2(10)(3.6) = 18 m²The volume:
18*5 = 90 m³Area of base
1/2BH1/2(10((3.6)5(3.6)18m²Volume
Area of base×Height
18(5)=90m³Is x+3 ≥ 12 correct?
Answers
Find the surface area of a square pyramid whose length of the side of the base is 12 cm with a slant height of 7 cm.
Answers
Answer:
I HATE BRAINLY
Step-by-step explanation:
22737
use the geometric mean (altitude) theorem. what is the value of m?
Answers
Answer:
4[tex]\sqrt{10}[/tex]
Step-by-step explanation:
m/8 = 20/m
cross-multiply:
m² = 160
m = [tex]\sqrt{160}[/tex] = [tex]\sqrt{16}[/tex] · [tex]\sqrt{10}[/tex] = 4[tex]\sqrt{10}[/tex]
sam has to read 2 books for school. sam read 1/6 of the first book on monday, and 10/11 of the second book on sunday. what total fraction of these two books has sam read.
Answers
Answer:
71/66
Step-by-step explanation:
total = 1/6+10/11
= (60+11)/66 (btw if you are confuse i took LCM here)
= 71/66
Total fraction = 71/66
HELP
Let f(x) = sin 1 x. Then, the domain of f(x) is (-1,1] and the range is all real
numbers.
A. True
B. False
Answers
Option-B- False is the correct choice
We have a function - f(x) = sin x
We have to justify, whether the statement provided to is true or false.
Statement - the domain of f(x) is (-1,1] and the range is all real numbers.
What do you mean by domain and range of a function?For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.
We have -
[tex]f(x)=sin\;x[/tex]
Refer to the figure attached, the graph represents [tex]y=f(x)=sin\;x[/tex]. It can be seen that the domain of [tex]sin\;x[/tex] is between [1,1] (including both 1 and -1) and range of the function [tex]sin\;x[/tex] is all possible real numbers.
In the statement - it is mentioned that the domain is (-1, 1], including 1 and excluding -1, and range is all real numbers. But the domain of the function [tex]sin\;x[/tex] includes -1 in its domain. Hence the statement is false.
Hence, Option-B- False is the correct choice
To solve more questions on finding the domain and range of functions visit the link below -
https://brainly.com/question/1632425
#SPJ2
Which choice shows three lengths that
cannot be the lengths of the three sides of a
triangle?
A. 2 cm, 8 cm, 8 cm
B. 2 cm, 3 cm, 6 cm
C. 4 cm, 5 cm, 7 cm
D. 5 cm, 6 cm, 9 cm
Answers
Answer:
c
Step-by-step explanation:
Suppose a triangle has sides 3, 4, and 5. Which of the following must be true?
Answers
Answer:
a triangle as 3 sides
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The triangle is a right triangle
Find the value of x in the ratio 2:8= 16:x
Answers
Step-by-step explanation:
2/8 = 16/x
2x = 16×8
x = 16*8/2
x = 64.
Hope it helps :)
Write an equation to represent the following statement.
j divided by 9 is 5.
solve for j.
j=
Answers
Answer: j = 45
what is 2 + 2 times 0 divided by 4 times 99
plus 1
Answers
Step-by-step explanation:
[tex]2 + 2 \times \frac{0}{4} \times 99 + 1 \\ = 2 + 0 + 1 \\ = 3[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Answer:
1
Step-by-step explanation:
Step 1: 2 plus 2
=> 2 + 2
=> 4
Step 2: times 0
=> 4 * 0
=> 0
Step 3: divided by 4
=> 0/4
=> 0
Step 4: time 99
=> 0 * 99
=> 0
Step 5: plus 1
=> 0 + 1
=> 1
Therefore the final answer = 1
Hope this helps!
Simplify this expression. Assume that x is nonzero.
x^−11•x^2
Answers
Answer:
Step-by-step explanation:
I'm assuming that you meant: x^(-11)*x^2. Here there's a common base: x.
Then this expression becomes x^(-11*2)*x^2. We need only combine (add up) the exponents of x: x^(-11*2)*x^2 = x^(-11 + 2) = x^(-9). Use of parentheses as shown is important here.
Note that x^(-9) is the same as
1
------------
x^9
What are the coordinates for
y = 3x + 5
y= -2x + 20
Answers
(0,5) (1,8)
y = -2x + 20
(0,20) (1,18)
x=16
y=-12
Hope this helped :T
For a scavenger hunt, Jim's mom distributed a bag of 440 jelly beans evenly into 20 plastic containers and hid them around the yard. If, after the hunt, Jim has a total of 242 jelly beans, then how many of the plastic containers did he find?
Answers
Answer: 11
Step-by-step explanation:
Given
Jim's mom distributed a bag of 440 Jelly beans evenly in to 20 Plastic bags
i.e.each bag has [tex]\frac{440}{20}=22[/tex] Jelly.
After the hunt, Jim has 242 Jelly. This much Jelly constitutes
[tex]\Rightarrow \dfrac{242}{22}=11\ \text{bags}[/tex]
Therefore, Jim has 11 bags of Jellys
Find the median. 90, 88, 100, 82, 80.
PLEASE
Answers
Answer:
88.
Step-by-step explanation:
For finding the median , arrange the data in ascending order. We get ,
80 , 82 , 88 , 90 , 120Here the number of observations Is 5 , which is odd . Hence the median will be the middlemost observation .
Here the middlemost observation is 88 . Hence the median of the data is 88 .Help plz..And No links!! I repeat No links!!
Answers
Answer:
13ft
Step-by-step explanation:
Solve for x and explain how you got your answer please
-3x -5 = 16
Answers
Answer:
x = -7
Step-by-step explanation:
-3x -5 = 16
step 1 add 5 to each side
-5 + 5 cancels out
16 + 5 = 21
we now have -3x = 21
step 2 divide both sides by -3
-3x / -3 = x
21 / - 3 = -7
we're left with x = -7
Answer:
x = -7
Step-by-step explanation:
-3x -5 = 16
+5 +5
-3x = 21
-3x/-3 = 21/-3
x = -7
volume can be measured by counting_____ in a _____ figure.
A. Cubes
B. Squares
C. two dimensional
D. Three dimensional
PLEASE HELP!!
Answers
Answer:
volume can be measured by counting cubes in three dimensional
Step-by-step explanation:
volume can be determined by counting cubes. and there has to be a 3D
figure to find value of the volume
Have a nice day.
PLEASE ANSWER QUICKLY
Answers
Answer:
The answer is A:81
Step-by-step explanation:
3 times 3 times 3 times 3= 81
Hopes this help.
Help I give Brainlist
What is a explication of functions with examples?
Answers
Step-by-step explanation:
function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. for ex. if x include 1,2,3 and y include 0,9.8 we aaythere is a relation between x and y that make 1 from x equal with 0 from 7 or 3 from x equals with 8 from 6.
answer this for brainilest and points
Answers
Answer:
e = 10
Step-by-step explanation:
14e + 4 - 14 - 13e = 0
e + 4 - 14 = 0
e - 10 = 0
e = 10
HOPE THIS HELPS
Answer:
e = 10
Step-by-step explanation:
9e + 4 = 8e + 14
1) add -8e at the two members
9e +4 -8e = 8e -8e + 14
e +4 = 14
2) add -4 at the two members
e+4 -4 = 14 - 4
e = 10
Imani stopped at the Post Office and mail three packages of weight of each package is given below.if the heaviest package is removed find the total weight of the remaining two packages
Answers
Answer: How to calculate package size and weight, and definition of ... Width is the remaining side that is also perpendicular to the length and is ... For rectangular packages, Girth would be Height multiplied by two plus Width ... it will require additional postage when it is mailed or delivered. ... All Rights Reserved. Hope this helped gurly/guy :)
Step-by-step explanation:
I WILL GIVE YOU BRAINLIEST AND A LOT OF POINTS
From a survey of the population of the United States, a circle graph was created.
A circle graph of the population of the United States in 1990: White: 80%, Black: 12%, Other Races: 4%, Asian and Pacific Islander: 3%, American Indian, Eskimo, and Aleut: 1%; Total population: 248,709,873
How many people from this survey are in the "Other Races" category?
Answers
Answer:
9,948,394.
Step-by-step explanation:
Here, the other races is 4% of the total population. So we calculate 4/100 * 248,709,873=9,948,394.92. If you can't have a fractional amount of people is would be 9,948,394.
What is the mixed number form of 44/40
Answers
Answer:
1 1/10
Step-by-step explanation:
44/40
How many times can 40 fit evenly into 44? 1
So 44 - 40 (the 1) = 4
There are 4 remaining which will be the numerator.
The denominator stays the same: 40.
Your answer should look like: 1 4/40
Now simplify: 1 1/10
please help I have no clue what this is I give brainly :)
Answers
Subtract 196 from both sides:
196 on the left is cancelled out, and you’re left with x = 304
:)