If the height of a parallelogram is 4 times more than it’s base, and the area is 221 sq in, what is the base and height?
Answers
Answer:
Base = 13in
Height = 17in
Step-by-step explanation:
Step-by-step explanation:
height of a parallelogram = 4 times more than it’s base
Let height = H
Base = B
H = 4 + B
area of the parallelogram = 221 in²
area of the parallelogram = base × height
221 = B × H = B × (4+B)
221 = 4B + B²
B² + 4B - 221 = 0
Using almighty formula to find B
See attachment for explanation
From the calculation:
Since the dimension of the parallelogram can't be negative, B = 13in
Height = B + 4 = 13+4
Height = 17in
Answer:
Base = 13 inches
Height = 17 inches
Step-by-step explanation:
The formula to find the area of a parallelogram = Base × Height
Let's represent Base = B
Height = H
From the question, the height is 4 times more than the Base
Height(H) = B + 4
Area = 221 square inches
Therefore, area of a parallelogram = Base × Height
221 sq in = B ×( B+4)
221 sq in = B² + 4B
B² + 4B - 221 = 0
We would solve the quadratic equation using factorisation method. Hence,
B² + 17B - 13B - 221 = 0
(B²+ 17B) - (13B - 221) = 0
B(B + 17) - 13(B + 17) = 0
(B + 17) (B - 13) = 0
B + 17 = 0
B = - 17
Or
B - 13 = 0
B = 13.
From the above calculation, since B = Base
B = -17 inches Or 13 inches
The base of a parallelogram cannot be negative, hence , The Base of the Parallelogram = 13 inches.
We are told that the height of the Parallelogram is 4 times more than the Base. This was represented but the equation
B + 4 = H
Since B = 13 :
13 + 4 = H
Height(H) = 17 inches.
Therefore, The base of the Parallelogram is 13 inches while the height of the Parallelogram is 17 inches.
Related Questions
please help its in math
Answers
Answer:
112 square inches
Step-by-step explanation:
The surface of the box is formed by 6 rectangles. Two of them have dimensions 7 by 3 inches, two have dimensions 7 by 3 1/2 inches, and two have dimensions 3 by 3 1/2 inches. Finding the area of all of these and adding them together, you get:
[tex]2(7 \cdot 3) + 2(7\cdot 3\frac{1}{2}) + 2(3\cdot 3\frac{1}{2})=[/tex]
[tex]2(21)+2(24\frac{1}{2})+2(10\frac{1}{2})=[/tex]
[tex]42+49+21=112[/tex]
Hope this helps!
Answer:112inch^2
Step-by-step explanation:
Total surface area =2(lw+hw+lh)
TSA=2(7*3+3.5*3+7*3.5)
TSA=112inch^2
iF J is between C and T, find the value of x and JT. CJ=8x+5, CT=55, and JT=4x+2
x=
JT=
Answers
Answer:
x = 4JT = 18Step-by-step explanation:
Given three points J, C and T on a line, if J is between C and T then;
CJ + JT = CT.
Given CJ=8x+5, CT=55, and JT=4x+2, substituting this parameters in the equation above will give;
[tex](8x+5)+(4x+2)= 55\\8x+4x+5+2 = 55\\12x+7 = 55\\12x = 55-7\\12x = 48\\ x = \frac{48}{12} \\x = 4[/tex]
SInce JT = 4x+2
[tex]JT = 4(4)+2\\JT = 16+2\\JT = 18[/tex]
He triangular pyramid shown is made up of four congruent triangles. The length of the base is 8 inches, and the height of the base is 6.9 inches. A triangular pyramid. Talia is finding the lateral area of the pyramid. She says that the expression 4 (one-half (8) (6.9)) represents the lateral area. Which explains whether Talia is correct and why? Talia is correct. The three faces have the same area as the base, and the area of the base is One-half (8) (6.9). Talia is correct. The lateral area can be found by approximating one large triangle, which can be found using the expression 4 (one-half (8) (6.9)). Talia is not correct. Only the base has an area of One-half (8) (6.9), and three other faces have a different area. Talia is not correct. The lateral area has three faces, so the expression should be 3 (one-half (8) (6.9)).
Answers
Answer:
Talia is not correct. The lateral area has three faces, so the expression should be 3 (one-half (8) (6.9)).
Step-by-step explanation:
A triangular prism has four triangles, three at the sides and one at the base.
A congruent shape has the same feature (side dimensions and angles), therefore all three sides of the prism, and the basal triangle have the same area (since they are congruent).
The area of the base will be One-half (8) (6.9), therefore each of the three sides too will have that same area.
Lateral area means only the areas of the sides excluding the base, therefore, the lateral area will be 3 (one-half (8) (6.9))
Answer:
Its D
Step-by-step explanation:
Can anyone please help?
(sorry for low quality...)
Answers
Answer:
see below
Step-by-step explanation:
The age is not a proportional relationship because it does not go through the point (0,0)
The hours is a proportional relationship. It goes through the point (0,) and has a constant slope
Answer:
3. NO
4. YES
Step-by-step explanation:
A proportional relation is of the form:
y = kx
Note that the y-intercept has to be 0, and slope should be constant
First one (Height against age) is not proportional because the intercept is 30, not 0
Second one (Time against distance) is proportional because the slope is constant and the y-intercept is 0
step by step plz
5x^2 + 17x + 6
Answers
Answer:
(x + 3)(5x + 2)
Step-by-step explanation:
[tex]5 {x}^{2} + 17x + 6 \\ = 5 {x}^{2} + 15x + 2x + 6 \\ = 5x(x + 3) + 2(x + 3) \\ = \huge \red{ \boxed{ (x + 3)(5x + 2) }} \\ [/tex]
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Answers
Answer:
3xy2 + 3xy
Step-by-step explanation:
0,0
Juanita has 30 beads. 90% of the beads are white.
How many beads are white?
18
25
27
21
Answers
Answer is 27
PLEASE HELP ASAP 5TH GRADE
Answers
Answer:
Your answer is C.
Step-by-step explanation:
take 2/5 x 240 = 96 which is two fifths of 240
Hope this helps. :)
Have a good day!
Ethan drew a scale drawing of a house. He used the scale 1 millimeter : 5 meters. The actual
length of the garage is 10 meters. How long is the garage in the drawing?
millimeters
Answers
Answer:
2 millimeters
Step-by-step explanation:
Ethan used the scale 1 millimeter : 5 meters.
This means that 1 millimeter in the drawing represents 5 meters in actual life.
The actual length of the garage is 10 meters. Therefore:
5 meters = 1 millimeter
=> 10 meters = (10 * 1) / 5 = 2 millimeters
The garage is 2 millimeters long in the drawing.
PLEASE ANSWER ASAP!! pic attached. will mark brain list IF you’re correct
Answers
Answer:
d) yes, becausd the maximum height of tharch is 9.6 feet
Step-by-step explanation:
This is because the arch has met the minimum height
Add brainliest please
During a middle school basketball game, every spectator placed his or her ticket stub into one of several containers. After the game, the coach chose eleven people to march in the sportsmanship parade. Who are the samples and populations?
Answers
Answer:
The eight people to march in a sportsmanship parade.
Step-by-step explanation:
An insurance agent research suggested that first year drivers had roughly an 13% chance of being involved in an automobile accident while driving. The insurance agent provided insurance to 152 first year drivers last year. What is the probability (based on the statistics) that 24 or more of those drivers were involved in accidents?
Answers
Answer:
Probability that 24 or more of those drivers were involved in accidents is 0.15625.
Step-by-step explanation:
We are given that an insurance agent research suggested that first year drivers had roughly an 13% chance of being involved in an automobile accident while driving.
The insurance agent provided insurance to 152 first year drivers last year.
Let [tex]\hat p[/tex] = sample proportion of drivers who were involved in accidents
The z score probability distribution for sample proportion is given by;
Z = [tex]\frac{\hat p-p}{\sqrt\frac{\hat p(1-\hat p)}{n} {} }[/tex] ~ N(0,1)
where, p = population proportion of first year drivers involved in an automobile accident while driving = 13%
n = sample of first year drivers = 152
Now, probability that 24 or more of those drivers were involved in accidents is given by = P([tex]\hat p[/tex] [tex]\geq[/tex] [tex]\frac{24}{152}[/tex])
P([tex]\hat p[/tex] [tex]\geq[/tex] 0.16) = P( [tex]\frac{\hat p-p}{\sqrt\frac{\hat p(1-\hat p)}{n} {} }[/tex] [tex]\geq[/tex] [tex]\frac{0.16-0.13}{\sqrt\frac{0.16(1-0.16)}{152} {} }[/tex] ) = P(Z [tex]\geq[/tex] 1.01) = 1 - P(Z < 1.01)
= 1 - 0.84375 = 0.15625
The above probability is calculated by looking at the value of x = 1.01 in the z table which has an area of 0.84375.
Hence, the required probability is 0.15625.
Allen needs to prepare a compound for the patient to pick up tomorrow. He needs to mix of drug A, with of drug B and of drug C. What is the total amount of the drugs mixed together? 2/5+5/3+9/3
Answers
Answer:
76/15
Step-by-step explanation:
Drug A=2/5
Drug B=5/3
Drug C=9/3
Add the drug combinations together
Drug A + B + C=2/5 + 5/3 + 9/3
The L.C.M of the denominators is 15
=6+25+45/15
=76/15
Or
=5 1/15
Allen needs to prepare 76/15 compound for the patient
5. What is the height of a pyramid (with a square base) whose side length is 12 cm and its slant
height is 10 cm?
a.) 22 cm
b.) 8 cm
d.) None of these
c.) 2 cm
Answers
Answer:
384
Step-by-step explanation:
The formula for the volume is Area of Base * H / 3
The area of the base is 144
If you draw the height from the peak, you will get a right triangle with side length 6 and hypotenuse 10
Pythagorean Theorem, and the height is 8
144 * 8 / 3 = 384
Hope this helps.
What is the Evaluation
Answers
Answer:
work is shown and pictured
Round the following number as a indicated 106,513 down to a hundred thousand start with a hundred thousand first
Answers
Answer:
100,000
Step-by-step explanation:
2/5 = k x 1/6
its k times 1/6 not kx
Answers
Answer:
k = 2.5
Step-by-step explanation:
k = 2 / 5 * 6
k = 12 / 5
Diego was trying to write 2^3 * 2^2 with a single exponent and wrote 2^6 explain to Diego what his mistake was and what the answer should be
Answers
Answer:
Diego's mistake is that he multiplied the exponents, instead of adding. The answer should be [tex]2^{3+2} = 2^{5}[/tex]
Step-by-step explanation:
Suppose we have a base a, and two exponents, b and c, we have that:
[tex]a^{b} \times a^{c} = a^{b+c}[/tex]
In this problem:
[tex]a = 2, b = 3, c = 2[/tex]
Diego's mistake is that he multiplied the exponents, instead of adding. The answer should be [tex]2^{3+2} = 2^{5}[/tex]
Type the integer that makes the following subtraction sentence true:
8 − ?= –1
Answers
Answer:
9
Step-by-step explanation:
Since the value is negative, that means that missing integer has to be 1 greater than 8 to make -1. 1 more than 8 is 9. Hope this helps! If you are still confused, please comment!
Please Help Me Will give 10 points
Answers
Answer:
I would say 1/2 but this question is really confusing.
Step-by-step explanation:
What solid 3D object is produced by rotating the semicircle about line \blue mmstart color #6495ed, m, end color #6495ed?
Answers
Answer:
Sphere
Step-by-step explanation:
its a sphere with a radius of 5
The solid three dimensional image that is produced from the rotation of the semicircle is called a sphere.
What is rotation of a plane?
This is used to define the movement of an object in a three dimensional plane around a fixed point.
This transformation os known to occur in a given point of the figure. The roataion is done at a certain degree.
Read more on rotation here: https://brainly.com/question/15624908 #SPJ2
The lines shown below are perpendicular. If the green line has a slope of -1/4, what is the slope of the red line
Answers
Answer:
4
Step-by-step explanation:
The slope of the green line is the negative reciprocal of that of the red line:
-1 / (-1/4), or just 4
Answer:
+4
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals of one another.
Here, with one slope being -1/4, the slope of a perpendicular line would be +4.
Find x,
45x - 15x = 300
Answers
Answer:
x = 10
Step-by-step explanation:
45x - 15x = 300
Combine like terms
30x = 300
Divide each side by 30
30x/30 = 300/30
x = 10
can anybody help me on this?
Answers
Answer:
length = 62.41 inches
Step-by-step explanation:
Using pythagoras theorem -
Let
a = hypotenuse
b = height
c = length
a^2 = b^2 +c^2
75^2 = 41.6^2 + c^2
Therefore,
75^2 - 41.6^2 = c^2
5625 - 1730.56 = c^2
389.44 = c^2
square root (389.44) = c
62.40544848 = c
Answer:
62 inches.
Step-by-step explanation:
We need to use the Pythagorean theorem to solve this problem. If the diagonal of the screen is 75 inches, and the height is 41.6 inches, then these values represent B and C. We need to find the value of A, the length of the TV. Since [tex]A^{2} + B^{2} = C^{2}[/tex], all we have to do is square 75, which gives us 5625then subtract the value of 41.6 squared (1730.56)and finally, take the square root of the number we are left with after subtracting [tex]B^{2}[/tex] , or 1730.56, from 5625, or [tex]C^{2}[/tex]
5625 - 1730.56 =3894.44
[tex]\sqrt{3894.44}[/tex] = 62.405
Which of the following is not a property of zero?
If you divide any number by zero, the answer will be zero.
Zero is neither positive nor negative.
If you add zero to a number, the answer will be that same number.
If you multiply any number by zero, the answer will be zero.
Answers
Answer:
If you divide any number by zero, the answer will be zero.
Step-by-step explanation:
You can't divide by zero. If you divide an number by zero on a calculator, it will come out as 'undefined'.
All other statements are true.
An integer that is positive is greater than zero, and a integer that is negative is less than zero. 0 is equal to 0, so it is neither positive or negative.
The sum of a number and zero will be that number. You are technically adding nothing.
[tex]4+0=4[/tex]
The product of any number and zero is zero. This is the "Multiplication Property of Zero".
[tex]4*0=0[/tex]
"If you divide any number by zero, the answer will be zero." should be the correct answer.
"If you divide any number by zero, the answer will be zero." should be the correct answer.
What is property of zero?
Addition property of zero:
The addition property of zero says that a number does not change when adding or subtracting zero from that number.
Multiplication property of zero:
The multiplication property of zero says that zero times any number is equal to zero.
Explanation for correct option:
If you divide any number by zero, the answer will be zero.
You can't divide by zero. If you divide an number by zero on a calculator, it will come out as 'undefined'.
All other statements are true.
Explanations for other options:
An integer that is positive is greater than zero, and a integer that is negative is less than zero. 0 is equal to 0, so it is neither positive or negative.
The sum of a number and zero will be the same number. You are technically adding nothing.
The product of any number and zero is zero. This is the "Multiplication Property of Zero".
"If you divide any number by zero, the answer will be zero." should be the correct answer.
Learn more about zero here
https://brainly.com/question/903340
#SPJ2
If J is between H and K and HJ = 4x+9, JK = 3x+3 and KH = 33. What is the value of HJ?
Answers
Answer:
Step-by-step explanation:
Assuming KH is a straight line with K and H being the beginning and the end of the line. If J is between H and K, it means that J is a point on line HK. Therefore, we can say that
HJ + JK= KH
If HJ = 4x + 9, JK = 3x + 3 and KH = 33, it means that
4x + 9 + 3x + 3 = 33
4x + 3x = 33 - (9 + 3)
7x = 21
Dividing both sides of the equation by 7, it becomes
x = 21/7 = 3
Therefore, HJ = 4 × 3 + 9 = 21
Vincent bought a 25-pound bag of rice. He cooked 6.25 pounds of the rice. He stored the rest of the rice in 334 - pound portions. What is the maximum number of 334 - pound portions he stored?
Answers
Question:
Vincent bought a 25-pound bag of rice. He cooked 6.25 pounds of the rice. He stored the rest of the rice in [tex]3\frac{3}{4}[/tex] - pound portions. What is the maximum number of [tex]3\frac{3}{4}[/tex] - pound portions he stored?
Answer:
The maximum number of portion he stored is 5 portion
Step-by-step explanation:
Given
Size of Rice = 25 lb
Size of Cooked Rice = 6.25 lb
Portions saved = [tex]3\frac{3}{4}[/tex] lb
Required
Number of portion saved;
First, the size of rice after cooking needs to be calculated;
If 6.25lb of rice was cooked from a total of 25lb;
Then, the size of rice left is
[tex]Size = 25lb - 6.25lb[/tex]
[tex]Size = 18.75lb[/tex]
Now that we have the amount left after cooking; we can simply calculate the maximum number of portions;
This is calculated by dividing size of rice left by portions of saved rice;
i.e.
Maximum number of portion = Size of rice left / Portions of saved rice
Maximum number of portion = [tex]\frac{18.75lb}{3\frac{3}{4}lb}[/tex]
Convert [tex]3\frac{3}{4}[/tex] to mixed fraction
Maximum number of portion = [tex]\frac{18.75lb}{\frac{15}{4}lb}[/tex]
Maximum number of portion = [tex]\frac{18.75}{\frac{15}{4}}[/tex]
Rewrite expression
Maximum number of portion = [tex]18.75 / \frac{15}{4}[/tex]
Change divide (/) sign to multiplication (*)
Maximum number of portion = [tex]18.75 * \frac{4}{15}[/tex]
Maximum number of portion = [tex]\frac{75}{15}[/tex]
Maximum number of portion = 5
Hence, the maximum number of portion he stored is 5 portions
How do you simplify the expression q(x) = (x² + x - 1) × (x² - x - 1)?
Answers
Answer:
q=−3x3+4x2−x
hope this helped :)
Step-by-step explanation:
Mason cuts a giant circular cookie into 5 equal pieces. Which statements are true about the angle measures of the pieces?
Answers
Answer:
A statement that is true about the angle measures of the pieces is that the angle measure of each piece is 72°. This is because there are 360° in a full circle, and if each piece is equal, that means that each piece is a fifth of that. Therefore, the angle measure is 360/5= 72°
students deliver catalogues and leaflets to houses. one day they have to deliver 384 catalogues and 1890 leaflets. each student can deliver either 16 catalogues or 90 leaflets in 1 hour. each student can only work for 8 hours. all students hired are paid 51.30 per day, even if they dont work a full day. If the minium number of students are hired, how much will the wage bill be?
Answers
Answer:
£352.80
Step-by-step explanation:
Divide the total number of catalogues by the per hours and hours.
15 per hour x 8 hours= 90 catalogues
360 catalogues ÷ 90 catalogues = 4 students.
Divide the total number of leaflets by the per hours and hours.
80 per hour x 8 hours= 640 leaflets
1440 leaflets ÷ 640 leaflets = 3 students
4 students + 3 students=7 students.
7 students x £51.30 per day = £352.80
The wage will be £352.80
Answer:
hi
Step-by-step explanation:
hi