The area of a trapezoid is 140 cm2 and the height is 20 cm. What is the sum of the bases?
A. 14 cm
B. 49 cm
C. 60 cm
D. 7 cm
Answer:
the answer is 14
Step-by-step explanation:
[tex]1 \div 2b \times h = 1 \div 2 \times 20 \times b = 140 \: so \: base \: = 14[/tex]
hope this helped
The sum of the bases of a trapezoid using height is 20 cm is 14 cm.
Thus, option (A) is correct.
The formula to calculate the area of a trapezoid is given by:
Area = 1/2 x height x sum of bases
Given that the area is 140 cm² and the height is 20 cm.
Now, rearrange the formula to solve for the sum of the bases:
Sum of bases = (2 x Area) / (height)
Substitute the given values:
Sum of bases = (2 x 140) / (20)
= 14
So, the sum of the bases is 14 cm.
Thus, option (A) is correct.
Learn more about area of Trapezium here:
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#SPJ3
A farmer's total payment for tools and compost over the course of two years is $27,894. Write and
solve an equation to find the payment for the second year if the first year’s payment is $10,205.
Answer:
The second years payment is 17689.
Step-by-step explanation:
If the first year is $10,205 then you subtract 10205 from 27894 which is 17689.
Equation: $27894-$10,205= $17689
ivan earns $8 each time he walks his neighbors dog.He already walked the dog 5 times
Answer:
8 x 5..
Step-by-step explanation:
45$
Answer:
SO if you were to find how much Ivan make
So 8 dollars each time he walks his neighbors dog.
ANd already 5 times.
So we can do 8*5=40
$40 earned
The number sentence 4 × 6 = 6×4 is an example of what property?
Answer:
communtitve property of multiplication
Giving 100 points for this and Brainliest!!
Well I ask this question for 100 points: I don't know how much it will give you
Please give me an explanation, no link please:
Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Answer: Sarah found 10 shark teeth(3 + 7 = 10).
John found 5 shark teeth(10/2 = 5).
The total money they earned was $5 x 15 = $75.
Explanation;
Given that:
$5 per shark tooth15 total collected shark teeth5 x 15 = 75, therefore the total money Sarah and John earned was $75.
The few sentences to end Sarah's story are: Sarah found 10 shark teeth for $50. John found 5 shark teeth for $25. They got $75 from their neighbor in total.
Answer:
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
25(10j + 18 + 5j)
Step-by-step explanation:
Which of the following is not considered a buying incentive?
a coupon
b. display
C. prize
d. rebate
Please select the best answer from the choices provided
A
B
C
D
=============================================
Explanation:
A buying incentive is anything that encourages any potential customers to become actual customers. Ideally, those people are repeat customers down the road as well (even if such buying incentives are no longer in place).
If someone sees a coupon or a rebate, then they'll be more likely to buy the item since the price is lower. A coupon is an immediate discount right on the spot, whereas a rebate is when you get a discount later on. A rebate means you have to mail in proof of purchase, and the company will send money back. These are two ways to apply a discount.
A third way to entice customers is to offer prizes. An example of this is a "buy one get one" sale (often abbreviated as BOGO). The company may lose money doing this, but they do so in the hopes of gaining new customers. Plus word of mouth tends to spread more often when such sales occur.
With everything discussed so far, this allows us to rule out choices A, C and D. They are all some kind of way to encourage potential buyers. Choice B is the answer because a display simply shows the price and any other relevant info to the product. Displays are neutral in the sense that they don't encourage a purchase and rather just convey information. When I mention this, I'm not talking about displays that advertise discounts or coupons.
What is the percent decrease from 16 to 0
what is the value of the 4 in the number 27.43? write your answer as a fraction
Answer:
4 tenths or 4/10
Step-by-step explanation:
please help !! question is shown below in the picture
Answer:
C
Step-by-step explanation:
Given x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 20 , y = 10 then
10 = 20k ( divide both sides by 20 )
[tex]\frac{10}{20}[/tex] = [tex]\frac{1}{2}[/tex] = k
y = [tex]\frac{1}{2}[/tex] x ← equation of variation → C
Martin, his 2 brothers, and his 5 sisters want to fairly share 3 bottles of water. How
much water will Martin get?
Answer:
3/8 bottle
Step-by-step explanation:
Fractions are just division.
Martin + 2sisters + 5bros
= 8 people
3bottles ÷ 8people
= 3/8 bottles per person
Martin is a person, so he gets 3/8 of a bottle, if they all share equally.
Using proportions, it is found that Martin will get 0.375 of a bottle.
This question is solved by proportions, using a rule of three.Martin, his 2 brothers and 5 sisters combine to represent 8 people, which will share 3 bottles equally. How much will Martin, which is one person, get?The rule of three is:
1 person - x bottles
8 people - 3 bottles
Applying cross multiplication:
[tex]8x = 3[/tex]
[tex]x = \frac{3}{8}[/tex]
[tex]x = 0.375[/tex]
Martin will get 0.375 of a bottle.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
Customers at Musicland can buy 4 DVDs for $15. How many DVDs can April buy at Musicland with $75?
Answer:
20 I believe because 15 divided by 4 is 3.75 so I then divided 75 by 3.75 giving me 20:)
%
Only 30% of the donuts are left in the box after the party. I counted the
donuts and there are 18 donuts left. How many donuts were in the box to
start with?
donuts
Answer:
It's be 60 because 30% of 60 is 18. Hope that helped :)
The position of a 2 kg object is given as x(t) = Bt2 +5, where x is in meters and t is in seconds. (a) Determine the force F responsible for this motion. (3) (b) If the force only results in a change in the kinetic energy of the object of 200 J between tı = 0 s and t2 = 5 s, determine the value of B. (3) (C) Without using kinematics (equations of motion), determine the displacement of the object during these 5 seconds referred to in part (b). (2)
(a) Given the position function
x(t) = (B m/s²) t² + 5 m
it's clear that the object accelerates at B m/s² (differentiate x(t) twice with respect to t), so that the force exerted on the object is
F(t) = (2 kg) (B m/s²) = 2B N
(b) Recall the work-energy theorem: the total work performed on an object is equal to the change in the object's kinetic energy. The object is displaced by
∆x = x(5 s) - x(0 s)
∆x = ((B m/s²) (5 s)² + 5 m) - ((B m/s²) (0 s)² + 5 m)
∆x = 25B m
Then the work W performed by F (provided there are no other forces acting in the direction of the object's motion) is
W = (2B N) (25B m) = 50B² J = 200 J
Solve for B :
50B² = 200
B² = 4
B = ± √4 = ± 2
Since the change in kinetic energy and hence work performed by F is positive, the sign of B must also be positive, so B = 2 and the object accelerates at 2 m/s².
(c) We found in part (b) that the object is displaced 25B m, and with B = 2 that comes out to ∆x = 50 m.
HELP
In \triangle JKL,△JKL, \angle J \cong \angle L,∠J≅∠L, LJ = 17LJ=17 and KL = 10KL=10. Find the length of JK.JK.
It's a isosceles right angled triangle
LJ=17KL=10[tex]\\ \sf{:}\Rrightarrow JK^2=17^2+10^2[/tex]
[tex]\\ \sf{:}\Rrightarrow JK^2=289+100[/tex]
[tex]\\ \sf{:}\Rrightarrow JK^2=389[/tex]
[tex]\\ \sf{:}\Rrightarrow JK=19.72[/tex]
help me to get 50 points
the ansewer is the third one
Need help with the answer
Answer:
C
Step-by-step explanation:
The slope is: (y2 - y1) ÷ (x2-x1)
In this question y2 is 5, y1 is 8, x2 is 0, and x1 is -3.
5-8=-3
0-(-3)=3
-3 ÷ 3 = -1
the slope is negative 1
what’s is the surface area of the tent if the length is 2 meters, the width is 2 meters, and the height is 3 meters?
Answer:
45 is the right answer
Step-by-step explanation:
the graph shows the volumes of petrol and diesel delivered in the Uk between 1970 and 2012
Answer:
whats the question.
Step-by-step explanation:
what is the answer i need done by midnight -15x+60<105
Answer:
[tex]x > -3[/tex]
Step-by-step explanation:
Isolate the variable. Treat the < sign like an equal sign, in that what you do to one side, you do to the other.
Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, subtract 60 from both sides of the equation:
-15x + 60 (-60) < 105 (-60)
-15x < 45
Next, divide -15 from both sides of the equation. Note that when you multiply or divide a negative number, you must flip the sign:
(-15x)/-15 < (45)/-15
x < 45/(-15)
x > -3
[tex]x > -3[/tex] is your answer.
~
A waitress kept track of whether her customers ordered an appetizer and
dessert. Her data are shown in a relative frequency table.
Appetizer
Total
No appetizer
0.3
Dessert
0.1
0.4
No dessert
0.2
0.4
0.6
Total
0.3
0.7
1.0
What does the 0.1 in the highlighted cell mean?
A. 10% of her customers ordered dessert.
B. 10% of the customers who ordered an appetizer ordered dessert.
C. 10% of her customers ordered an appetizer and dessert.
D. 10% of her customers ordered an appetizer.
According to the two-way table, the correct option is:
10% of her customers ordered an appetizer and dessert.From the table, it is taken that:
0.1 = 10% of the customers ordered both an appetizer and a dessert.0.3 = 30% of the customers ordered a dessert but not an appetizer.0.4 = 40% of the customers ordered a dessert.0.2 = 20% of the customers ordered an appetizer but not a dessert.0.4 = 40% of the customers ordered neither a dessert nor an appetizer.0.6 = 60% of the customers did not order a dessert.0.3 = 30% of the customers ordered an appetizer.0.7 = 70% of the customers did not order an appetizer.The total is of 100%.Hence, the highlighted 0.1 = 10% means that:
10% of her customers ordered an appetizer and dessert.You can learn more about two-way tables at https://brainly.com/question/24670062
12. TEKS 21
A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were
black-and-white coples, and the rest were color copies.
.
Each black-and-white copy cost $0.08.
Each color copy cost $0.15.
.
Which system or equations can be used to find b, the number of black-and-white copies,
and c, the number of color copies that the customer paid for at the print shop?
The system or equations can be used to find b, the number of black-and-white copies,
and c, the number of color copies that the customer paid for at the print shop is
b + c = 68
b + c = 680.08b + 0.15c = 6
Given:
Total amount paid = $6.00
Total copies = 68
cost of black-and-white copy = $0.08
cost of color copy = $0.15
let
number of black-and-white copies = b
number of color copies = c
The equation:
b + c = 68
b + c = 680.08b + 0.15c = 6
Therefore, the system or equations can be used to find b, the number of black-and-white copies,
and c, the number of color copies that the customer paid for at the print shop is
b + c = 68
b + c = 680.08b + 0.15c = 6
Learn more about equation:
https://brainly.com/question/4916384
Assume that all letters in the following equation represent positive numbers.
Answer:
None of the suggested answers
58. What is the equation that best represents the graph (0,5) (3, 3) (6, 1)
find the perimeter of rectangle whose length is 5m 20 cm and breadth 3.5m
Answer:
17.4 sq.mStep-by-step explanation:
Given,
Length of the rectangle = 5m 20cm = 5.2m
Breadth of the rectangle = 3.5m
Therefore,
Perimeter of the rectangle
= 2(Length + Breadth)
= 2(5.2m + 3.5m)
= 2 × 8.7m
= 17.4m
Hence,
Area of the given rectangle is 17.4 sq.m (Ans)
Find the exact value of sin^-1(-√3/2)
Answer:
-60°
Step-by-step explanation:
Your calculator and/or your knowledge of trig function values can find this for you.
The arcsine function has a range of -90° to +90°. Positive angles 240° and 300° will also have the sine value -√3/2.
arcsin(-√3/2) = -60° = -π/3 radians
Which graph shows Point P as (–5,6) and Point Q as (3,–4)?
hich graph shows Point P as (–5,6) and Point Q as (3,–4)?
In a recent survey, it was found that 133 out of 631 randomly selected Knott's Berry Farm attendees consider Silver Bullet their favorite ride at Knott's. It was also found that 23 out of 121 randomly selected Knott's Berry Farm employees consider Silver Bullet their favorite ride. Test the hypothesis that the percentage of attendees who consider Silver Bullet their favorite ride is different than the percentage of Knott's Berry Farm employees who consider Silver Bullet their favorite ride. Use the a=.05 level of significance.
The P-value is __________, rounded to the nearest ten-thousandth (4 decimal places).
Using the z-distribution, it is found that the p-value is of 0.5975.
At the null hypothesis, it is tested if the proportions are equal, that is, their subtraction is 0, hence:
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:
[tex]H_1: p_1 - p_2 \neq 0[/tex]
The sample sizes and proportions are given by:
[tex]n_1 = 631, p_1 = \frac{133}{631} = 0.2108[/tex]
[tex]n_2 = 121, p_2 = \frac{23}{121} = 0.1901[/tex]
The standard errors are given by:
[tex]s_1 = \sqrt{\frac{0.2108(0.7892)}{631}} = 0.0162[/tex]
[tex]s_2 = \sqrt{\frac{0.1908(0.8092)}{121}} = 0.0357[/tex]
For the distribution of differences, the estimate and the standard error are:
[tex]\overline{p} = p_1 - p_2 = 0.2108 - 0.1901 = 0.0207[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0162^2 + 0.0357^2} = 0.0392[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which [tex]p = 0[/tex] is the value tested at the null hypothesis.
Then:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.0207 - 0}{0.0392}[/tex]
[tex]z = 0.528[/tex]
Using a z-distribution calculator, with a two-tailed test, as we are testing if the mean is different of a value, the p-value is of 0.5975.
A similar problem is given at https://brainly.com/question/25869410
A bottle rocket takes off with a speed of 13 m/s and is angled 55 degrees above the horizon. What is the Y component of the velocity ?
Step-by-step explanation:
Let the speed of bottle rocket be u and angle with horizon be A.
Then,
u= 13m/s
A= 55°
Now,
we know that,
x- component,
X= 13 cosA
Y-component,
Y = 13 sinA
=13×0.81915
=10.649 m/s ANS
WILL GIVE BRAINLIEST
PLEASE HELP 12 points
Answer:
D. The function approaches 1 as x approaches -infinity and infinity
Step-by-step explanation:
Step 1: Divide numerator and denominator by [tex]x^2[/tex]:
[tex]\frac{x^2-4}{x^2-9}=\frac{1-\frac{4}{x^2}}{1-\frac{9}{x^2}}[/tex]
Step 2: Notice that as x gets closer to infinity or negative infinity, x^2 gets closer to infinity, meaning that the expression approaches 1/1 =1
Based on the scatterplot, what is the best prediction of the amount of $ in sales when the temperature is at 21°C?
Answer:
Between 400$ and 500$
Step-by-step explanation:
Draw a straight line that follows the scatterplot - either by guesstimating (best choice) or by applying any known method to extrapolate a line. Then it's just a matter of reading the y value corresponding to that x. Hardly a perfect image, but close enough since it's a prediction