Find the area of the trapezoid below by decomposing the shape into
rectangles and triangles.
6
5
8
3
Answer:
72 square units
Step-by-step explanation:
The area of the rectangle in the middle: 6x8 = 48 square units
The area of the triangle on the left: (5x6)/2 = 30/2 = 15 square units
The area of the triangle on the right: (3x6)/2 = 18/2 =9
(The 6 for the height of the triangle on the right is from the left side of the rectangle in the middle, they have to be the same length)
48+15+9 = 72 square units
PLZ HELP ME!!!
18 packages of basil cost $54. How many packages can you buy for $9?
Answer:
3
Step-by-step explanation:
Answer:
3 packages of basil.
Step-by-step explanation:
I divided 54/18 and got 3.
I used this number to calculate how much each package of basil costs, $3.00.
And 3 + 3 + 3 =9. So 3 packages of basil is hopefully the answer.
HELP!!
Look at the graph of the system of equations and
choose the option that best answers each question.
What is the solution?
Which equation represents the orange line, line 0?
Which equation represents the blue line, line B?
Answer: (15,180) y=0x+180 y=10x+30
Step-by-step explanation:
Answer:
first one: (15, 180)
second one: y = 0x + 180
third one: y = 10x + 30
Step-by-step explanation:
20 points! For students majoring in Hospitality Management, it was determined that 5% have visited 1–10 states, 16% have visited 11–20 states, 45% have visited 21–30 states, 19% have visited 31–40 states, and 15% have visited 41–50 states. Suppose a Hospitality Management student is randomly selected. What is the probability that the student has visited 21 or more states?
0.15
0.21
0.45
0.79
Answer:
So i feel like the answers is .79
Step-by-step explanation:
asking for the ones that visited 21 or more so thats .45+.19+.15=.79
Answer:
.55
Step-by-step explanation:
Help Me please
Veronica wants to check her work after evaluating 108 ÷(-6) what steps can she follow to verify her answer?
Divide her answer by -6 and see if the result is -108.
Divide her answer by -108 and see if the result is -6.
Multiply her answer by -6 and see if the result is -108.
Multiply her answer by -108 and see if the result is -6.
Answer:
Its C
Step-by-step explanation:
A landscape contractor wants to make an exposed gravel border of uniform width around a rectangular pool in a garden. The pool is 10 feet long and 6 feet wide. There is enough material to cover 36 square feet. How wide should the border be
Answer:
Border should be 1 ft wide
Step-by-step explanation:
The pool is 10 feet long and 6 feet wide.
Now, since the landscape contractor wants to make an exposed gravel border of uniform width. Let the uniform width of the border be x. Thus it means the length is now (10 + 2x) and width is now (6 + 2x).
We are told there is enough material to cover 36 square feet.. Thus;
New area - old area = 36
[(10 + 2x) × (6 + 2x)] - (10 × 60) = 36
4x² + 32x + 60 - 60 = 36
4x² + 32x = 36
Subtract 36 from both sides to get;
4x² + 32x - 36 = 0
Using quadratic formula, we have;
x = -9 or 1
We will pick the positive value as the width can't be negative.
Thus;
x = 1 ft
I need the answer to this test question. We were assigned to correct our test for homework. I cannot think of another solution to this problem, please help.
Answer:
angle 1 = 70 degree and angle 2=95 degree
Step-by-step explanation:
for the first angle
180 -70 = 110
and 180-110 = 70 ( opposite angles )
for the second angle
180-85 =95
and again 180-95 =85(opposite angles)
180-85=95 (the straight line property)
7 1/2÷3/4 Please help this mom out!!
Answer:
10
Step-by-step explanation:
give me brainly
am i correct? let me know
You increase your walking speed from 1 m/s to 3 m/s in a period of 1 s.
What is your acceleration?
Answer:
2 m/s
Step-by-step explanation:
Answer:
2m/s²
Step-by-step explanation:
acceleration= v-u/t
=3-1/1
=2m/s²
18 ≤ -2x = what?? please answer im in class
Answer:
-9
Step-by-step explanation:
1. A company that produces bread is concerned about the distribution of the amount of sodium in its bread. The company takes a simple random sample of 100 slices of bread and computes the sample mean to be 103 milligrams of sodium per slice. Assume that the population standard deviation is 10 milligrams. a) Construct a 95% confidence interval estimate for the mean sodium level. b) Construct a 99% confidence interval estimate for the mean sodium level.
Answer:
The 95% confidence interval is [tex] 101.13 < \mu < 104.87 [/tex]
The 99% confidence interval is [tex] 100.54 < \mu < 105.46 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 110
The sample mean is [tex]\= x = 103 \ mg[/tex]
The population standard deviation is [tex]\sigma = 10 \ mg[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{ 10 }{\sqrt{110} }[/tex]
=> [tex]E =1.8688 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]103 - 1.8688 < \mu < 103 + 1.8688 [/tex]
=> [tex] 101.13 < \mu < 104.87 [/tex]
Considering question b
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.58 * \frac{ 10 }{\sqrt{110} }[/tex]
=> [tex]E =2.4599 [/tex]
Generally 99% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]103 - 2.4599 < \mu <103 + 2.4599 [/tex]
=> [tex] 100.54 < \mu < 105.46 [/tex]
An infinite solution means the solutions for the algebraic equation are endless
Answer:
Correct
Step-by-step explanation:
convert 25% into fraction with method
Answer:
¼
Step-by-step explanation:
25%
= 25÷100
= ¼ (°.° 25×4 = 100)
Find the volume of the region between the cylinder z=3y^2 and the xy-plane that is bounded by the planes x=0,x=1 ,y=-1 and . z = y2 x = 0 x = 1 y = − 1 y =1
Answer:
The volume of the region V = 2
Step-by-step explanation:
Given that:
[tex]z_1 = 3y^2[/tex] ;
where initially;
[tex]z_o = 0; \ x_o = 0; \ x_1 = 1; \ y_o= -1; \ y_1 = 1[/tex]
The volume of the region is given by a triple which is expressed as:
[tex]V = \int_x \int_y \int_z \ dz \ dy \ dx[/tex]
[tex]V = \int \limits ^{x_1 = 1}_{x_o=0} \int \limits ^{y_1 = 1}_{y_o=-1} \int \limits ^{z_1 = 3y^2}_{z_o=0} \ dz \ dy \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \int \limits ^{3y^2}_{0} \ dz \ dy \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [z \Bigg]^{3y^2}_{0} \ dy \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [3y^2 \Bigg] \ dy \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \Bigg [\dfrac{3y^3}{3} \Bigg]^1_{-1} \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \Bigg [\dfrac{3(1)^3}{3}- \dfrac{3(-1)^3}{3} \Bigg] \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \Bigg [1-(-1)\Bigg] \ dx[/tex]
[tex]V =2 \Bigg [x \Bigg] ^1_0[/tex]
V = 2
Thus, the volume of the region is 2
Find the measurement of
an interior angle of a regular
decagon (10-sided figure).
Answer:
144°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Sum of Angles: 180(n - 2)Step-by-step explanation:
Step 1: Define
Number of sides n = 10
Step 2: Find
Substitute: 180(10 - 2)Subtract: 180(8)Multiply: 1440°Step 3: Find 1 angle
We have 10 sides.
Divide: 1440/10 = 144
18. The radius of a circle is increasing at a constant rate of 3 cm per second. What is the rate of increase (at any point)
of the area of the circle?
Step-by-step explanation:
you should have to give more points for this answer
A string is 5.8 meters long. What is it's length in centimeters
Answer:
a
Step-by-step explanation:
because I said it was jejwjwjeiejehxueh ed uejrhcu
Answer:
580
Step-by-step explanation:
If 100 centimeters are in a meter, then we have to multiply 5.8 by 100 to find out the length of the string in centimeters.
(hope this helped)
Jared a beekeeper placed 120 hives in a apple orchard
Answer: 20
Step-by-step explanation:
Can some one help me plz
Answer:
4h
2d
Step-by-step explanation:
Graph the line that passes through the point (0,-7) and (-3,-9) and determine the equation of the line
Answer:
The equation is y=2/3x-7
Step-by-step explanation:
-9-(-7) /-3-0
-2/-3
that's your answer
winston earns $140.00 by selling 56 hotdogs at a concession stand at school. by using the same rate for the cost of one hotdog , how many more would Winston need to sell to earn $175.00?
2. Which of the following vectors is equal to vector with initial point (3, 7) and
terminal point (-5, -3)?
f. u= <2,-10>
g. u = <-2,-4>
h, u =<-8,4>
j. u = <-8,-10>
Answer:
j
Step-by-step explanation:
We can subtract 3 in the x-coordinate and 7 in the y-coordinate for both points.
(3-3,7-7) = (0,0)
(-5-3,-3-7) = <-8,-10>
Hope this helps!
can you help me please
Answer:
Please check the explanation.
Step-by-step explanation:
Given that
|v|=38
Ф = 120°
Finding the horizontal component
The horizontal component can be obtained using the formula
Vx = |v| cos Ф
= 38 cos 120°
= 38 (-0.5)
= -19
Thus, the horizontal component is:
Vx = -19
Finding the vertical component
The vertical component can be obtained using the formula
Vy = |v| sin Ф
= 38 sin 120°
= 38 (0.86)
= 32.68
Thus, the vertical component is:
Vy = -19
A vector 'v' with magnitude |v| and direction Ф can be written as:v = |v| cos Ф i + |v| sin Ф j
As
|v|=38
Ф = 120°
Thus, the vector is
v = 38 cos 120° i + 38 sin 120° j
or
v = -19 i + 32.68 j
can commas be used to separate the ones, tens and hundreds
Answer: no? because the comma goes after every three numbers.
One batch of cookies requires the following ingredients:
2 1/3 cups of flour
3/4 of a cup of chocolate chips
2/5 of a cup of chopped almonds
1 1/2cups of brown sugar
3/8of a cup of white sugar
1/2 of a teaspoon of salt
Eric wishes to triple the recipe.
How much of each ingredient should he use? Select all that apply.
A) 9/12 cup of chocolate chips
B) 6/5 cups of chopped almonds
C) 1/6 of a teaspoon of salt
D) 1 1/8 cups of white sugar
E) 6 1/3 cups of flour
F) 2 1/2 cups of brown sugar
Complete the table so that the cost per banana remains the same.
number of
bananas
cost in
dollars
unit price
(dollars per banana)
4
0.50
6
0.50
7
0.50
10
0.50
10.00
0.50
16.50
0.50
Step-by-step explanation:
No. of banana Cost Unit price
4 2 0.50
6 3 0.50
7 3.5 0.50
20 10 0.50
20 10 0.50
33 16.50 0.50
Cost = No of banana x unit price
Cost = 4 x 0.50 = 2
Cost = 6 x 0.50 = 3
Cost = 7 x 0.50 = 3.50
Cost = 20 x 0.50 = 10
No of banana = Cost / Unit price
No of banana = 10 / 0.50 = 20
No of banana = 16.50 / 0.50 = 33
there are 60 inches in 5 feet. How many inches are in8 feet?
Ok so
96 inches is the answer u calculate
Answer:
96 inches
Step-by-step explanation:
Brainliest me pls
Have a nice day! <3
Answer ASAP will give brainliest, thanks.
Answer:
B
Step-by-step explanation:
4x+2y=6
6x-4y=-12
2y=6-4x
y=3-2x
6x-4(3-2x)=-12
6x-12+8x=-12
2x-12=-12
2x=0
x=0
4(0)+2y=6
2y=6
y=3
(0,3)
URGENT !!
A popular television show recently released a video
preview for the upcoming season on íts website As
fans of the show discover the video, the number of
views of the preview video has grown each day
during the last 2 vweeks. The number of days since
the release of the video and the natural log of the
number of video views ís shown in the scatterplot.
Answer:C
Step-by-step explanation:
the sum of three consecutive multiples of 24 is 288 find these multiples
plzz solve these question now
click on the picture attached to get the answer
hope it helps!
..........