Answer:
[tex]b_{2} = \frac{2A}{h} - b_{1}\\[/tex]
Step-by-step explanation:
[tex]A = \frac{1}{2} h(b_{1} +b_{2})\\2A = h(b_{1} +b_{2})\\\frac{2A}{h} = b_{1} +b_{2}\\\frac{2A}{h} - b_{1} = b_{2}\\[/tex]
in a population of grasshoppers, the ratio of grasshoppers with a white marking to those without a white marking is 2:3. An entomologist captures and photographs 290 grasshoppers. How many photographs are likely to show grasshoppers with a white marking?
A. 193
B. 58
C. 112
D. 116
Answer:
D. 116
Step-by-step explanation:
Let the grasshoppers with a white marking be 2x.
Let the grasshoppers without a white marking be 3x.
2x + 3x = 290
5x = 290
x = 290 / 5
x = 58
The grasshoppers with a white marking
= 2x
= 2 ( 58 )
= 116
A window washer earns $4 per window. Which equation represents the relationship between his total earnings and the number of windows he washes?
The figure is made by attaching semicircles to each side of an 11-ft-by-11-ft
square. Find the area enclosed by the figure. Use 3.14 for pi
Answer:
A=1164.62
Step-by-step explanation:
First you find the radius:
11*11=121
121=2*(22/7)*r
121=44/7*r
19.25=r
Then to find the area you:
A=22/7(19.25) to the 2 power
A=1164.62
Question in the attachments
here's the question
Answer:
it is 2
Step-by-step explanation:
pls make me blanliest
A square pyramid has a height of 6 meters the perimeter of the base is 40 meters what is the volume?
Answer: 1/3.(√3/4)×40×40 ×5√(5
Step-by-step explanation:
Answer:
200 m^3
Step-by-step explanation:
1) find the side of the base
side = 40 : 4 = 10 m
2) find the base area
base area = side^2 = 10^2 = 100 m^2
3) find the Volume
V = (base area x height)/3 = (100 x 6)/3 = 200m^3
Maria wants to spend less than $110. She wants to buy some shirts, s.
that are priced at $9 each. She also decided to buy a pair of high heels for
$60. WRITE THE INEQUALITY that represents the word problem to
determine the number of shirts she can buy.
she can buy 5 shirts
Find the solution of the system of equations.
-2x - 9y = -3
--7x - 9y = -33
Answer:
x = 6 and y = -1
Step-by-step explanation:
hope this helps
Answer:
x= 6 and y= -1
Step-by-step explanation:
-2x - 9y = -3
-7x - 9y = -33
I'm going to be solving by elimination. However, you can solve using substitution as well.
So the first step is to eliminate one of the variables. In my opinion, what's easiest is eliminating the y variables. To eliminate you want to variables (that are the same) to equal 0 and cancel out. To do this, all I have to do is subtract. When I subtract I get 0 as shown below. I will also subtract the other variables and numbers in the equations because that's how elimination works.
-2x - 9y = -3
-7x - 9y = -33
5x = 30
-2 - (-7)=5 and -3 - (-33)= 30
There's no solution for the y variable because -9 - (-9)=0, which cancels out so it doesn't have to be written.
after that you get x=6 because you divide by 5 on both sides.
All that's left is to plug in 6 to one of the equations:
-2(6) - 9y= -3
-12 - 9y= -3
+12 +12
-9y= 9
Divide both sides by -9 to get y= -1
The ratio of boys to girls in Ella’s grade is 3 to 4. The ratio of boys to girls in Minh’s grade is 4 to 5. Each grade has a total of 20 girls.
How many boys are in each grade?
There are
boys in Ella’s grade and
boys in Minh’s grade.
HELP PLS Find the measure of the angle indicated.
Answer:
I think that that angle would also be 102 degrees.
11. Multi-Step Ben gets on a bus at
Main Street at 10:13 A.N. The bus
arrives at Elm Street at 10:27 A.M. It
waits for 10 minutes. Then it arrives
at Broadway at 10:50 A.M. How long
is Ben on the bus if he rides from
Main Street to Broadway?
Answer:
41 minutes
Step-by-step explanation:
14+10+17= 41 minutes
I need help I will mark you if you get it right
help please with explaination
Answer:
b=18.76
Step-by-step explanation:
Let the line that splits the big triangle into two small triangles be x.
Let the unmarked side of the big triangle be y.
Consider the big triangle. By Pythagorus:
(6+16)²=b²+y²
484=b²+y²
y²=484-b²
Consider the small left triangle. By Pythagorus:
y²=6²+x²
y²=36+x²
x²=y²-36
Consider the small right triangle. By Pythagorus:
b²=16²+x²
b²=256+x²
b²=256+x²
b²=256+y²-36
b²=220+y²
b²=220+484-b²
2b²=704
b²=352
b=18.7616630393
b=18.76
how many times does 8/3 go into 1/3
Answer:
2 times, so it would be 2 2/3
Step-by-step explanation:
Hope this helped! Have an Amazing Day! Or Night!! :)
9514 1404 393
Answer:
1/8
Step-by-step explanation:
To find out, divide 1/3 by 8/3.
(1/3)/(8/3) = 1/8
8/3 goes into 1/3 exactly 1/8 times.
__
There are (at least) two ways to divide fractions.
1. "invert and multiply" (A.K.A. "swap dot")
[tex]\dfrac{1}{3}\div\dfrac{8}{3}=\dfrac{1}{3}\cdot\dfrac{3}{8}=\dfrac{1\cdot3}{3\cdot8}=\boxed{\dfrac{1}{8}}[/tex]
__
2. Drop common denominators.
[tex]\dfrac{1}{3}\div\dfrac{8}{3}=1\div8=\boxed{\dfrac{1}{8}}[/tex]
What is the equation needed to solve for X?
Answer:
[tex]x - 8 + 4x - 7 = 180 \\ \\ 5x - 15 = 180 \\ \\ 5x = 180 + 15 \\ \\ 5x = 195 \\ \\ x = 195 \div 5 \\ \\ x = 39 \\ [/tex]
is 2.65 = 53/20 true or false and show work
Answer:true
Step-by-step explanation:
Mandy has a flower garden that is 30 1/2 square feet. she wants to plant daisies in 1/3 of the garden. what will the area of the daisies part of the garden be? Write and solve the equation that will help you figure out the area of the daisies section of the garden. explain the steps you took to solve the problem.
Answer:
area of the daises part of the garden = 1/3 x 30 1/2
10 1/6 square feet
Step-by-step explanation:
area of the daises part of the garden = area of garden x 1/3
= 1/3 x 30 1/2
Convert the mixed fraction to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
= 1/3 x 61/2 = 61/6
convert to mixed fraction
10 1/6
QUESTION BELOW PLEASE HELP
Answer:
61°
Step-by-step explanation:
180° - 119° = 61°
The first sequence rule is subtract 8 starting from 72. The second sequence rule is subtract 6 starting from 58. What is the first number that appears in both sequences?
Question 2 options:
16
40
46
52
Answer:
A) 16
Step-by-step explanation:
1st sequence: 72-8x
2nd sequence: 58-6x
Set both sequences equal to each other and solve for x:
72-8x=58-6x
14-8x=-6x
14=2x
7=x
x=7
Plug x=7 back into the equation:
72-8(7)=58-6(7)
72-56=58-42
16=16
So the first number that appears in both sequences is 16.
What is the percentage?
Find the value of y. Geometry, plz only answer if you know how to do it ! thanks
Answer:
y = 96
Step-by-step explanation:
In order to find y we have to find the value of x
angle "x" is an angle formed by a tangent line and a secant line.
Kindly look at the image.
As you can see an angle formed by a tangent and a secant is equal to half of its intercepted arc.
x's intercepted arc has a measure of 168
So...
X = [tex]\frac{168}{2}[/tex]
[tex]\frac{168}{2} =84[/tex]
So x = 84
Now to find y.
Angle "x" and angle "y" are formed on a straight line.
Angles formed on a straight line add up to equal 180°
That being said we can find a missing angle ( y ) by subtracting the given angle's measure ( angle x which has a measure of 84°) from 180
so y = 180 - 84
180 - 84 = 96
Hence y = 96
Please awnser math ###
Answer:
1. 42
2. 46
3. 0
Step-by-step explanation:
math
Answer:
1. x = 42
2. y = 46
3. z = 0
Step-by-step explanation:
1. 45 + x = 87
subtract 45 from both sides
x = 42
2. y - 31 = 15
add 31 to both sides
y = 46
3. 5z = 0
divide 5 from both sides
z = 0/5
since any fraction with a numerator of 0 is equal to 0, we get
z = 0
the number of televisions owned by Matt's classmates is 1, 4, 3, 3, 2, 1, and 7. what is the mean absolute deviation for the number of televisions owned by Matts classmates answer
please help this is overdue
find the value of x. 5.1 perp and angle bisectors geo
Answer:
7
Step-by-step explanation:
4x+30=9x-5
35=5x
x=7
the product of 23
and 20
Given the function rule f(x) = x^2 - 5x + 1, what is the output of f(-3)?
a. 7
b. -5
c. 25
d. 5
Answer:
C
Step-by-step explanation:
To evaluate f(- 3) substitute x = - 3 into f(x) , that is
f(- 3) = (- 3)² - 5(- 3) + 1 = 9 + 15 + 1 = 25
A bag contains 10 colored marbles - 4 red, 4 blue and 2 green.
Calculate the probability of removing 4 marbles without
replacing and getting exactly 3 blue.
Answer: 1/35
Step-by-step explanation:
I just did the assignment on ck-12 and got it right.
The probability of removing 4 marbles without replacing and getting exactly 3 blue is 1/35.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
A bag contains 10 colored marbles - 4 red, 4 blue, and 2 green.
The probability of removing 4 marbles without replacing and getting exactly 3 blue.
= 1/35
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
Plz help me..........
Answer: 7 cubic meters
Step-by-step explanation:
you add
6q + 8 = -9 - 76
a. 12
b. -12
c. 84
d. -84
Answer: the answer will be -15.5, but this number is not in the choices given, so I guess you made a mistake while writing the equation
Step-by-step explanation:
6q+8=-9-76
6q+8=-85 Subtract 8 from both sides
6q=-93 Divide both sides by 6
q=-15.5