Answer:
8 x 4
Step-by-step explanation:
Lets say the length is x and the width is y.
xy = 32
2x + 2y = 24
Rearranging the second equation, we get:
2x = 24 - 2y
/2 /2
x = 12 - y
substitute into the first equation
y(12 - y) = 32
12y - y^2 = 32
-32 -32
-y^2 +12y - 32 = 0
x -1 x -1
y^2 - 12y + 32 = 0
(y - 8)(y - 4) = 0
y = 8 or 4
substitute into x = 12 - y.
x = 12 - 8 = 4
x = 12 -4 = 8
so the correct dimensions are 4 x 8, as either x = 4 and y =8, or x = 8 and y = 4.
Hope I helped!
PLEASE HELP:). The branch of an isosceles triangle is 2.5 times longer than the base and the circumference of the triangle is 60 cm. Find the lengths of the midpoints of the triangle.
Answer:
Step-by-step explanation:
2.5x + 2.5x + x = 60
x= 10
2.5x = 25
the sides of the triangle are 25, 25, 10
I don't know what you mean by "midpoints of the triangle".
Please help will give brainliest
Answer:
(5j + 4k)2
2(5j + 4k)
Step-by-step explanation:
Only choices where it distributes 10j + 8k
Answer: 2(5j+ 4K) and (5j+4k)2
Hope this helps!
Step-by-step explanation:
please help me! this is hard
Answer: 1430 girls
Step-by-step explanation:
In order to solve this we must take it step by step. So first things first. There are 12,481 people at this concert. If 8906 are adults we need to subtract to find out how many children there are. 12481-8906=3575. There are 3,575 children at this concert. Now if 3/5 of the children are boys then the other missing 2/5 must be the girls. There are a couple of ways to solve this but im going to go the direct route. multiply 3/5 by 3,575 to get 2,145 boys. Now if 2,145 out of 3,575 are boys then 3575-2145= 1430 girls
Let's sum up what we learned
1. 12,481 people are at a concert
2. 8906 adults are at this concert
3. 3,575 are children
4. 2145 are boys
5. Which means there are 1430 girls
Martha has two jobs. One pays $15 per hour, and she works at that job 10 hours per week. The other job pays $13 per hour, and she works at that job 30 hours per week. How much money does she make per year?
Answer:
540$
Step-by-step explanation:
Jose's gas tank is 1/5 full. After he buys 9 gallons of gas, it is 7/10 full. How many gallons can Jose's tank hold?
Answer:
18 gallonsStep-by-step explanation:
Let the capacity of tank is x
1/5x + 9 = 7/10x2/10x + 9 = 7/10x5/10x = 91/2x = 9x = 18 gallonsA gardener has 100 feet of fencing in order to enclose a rectangular garden. The equation A(x)=x(50−x) gives the area of the garden whose width is x feet. What is a reasonable domain for this function? Explain.
Answer:
the answer is a
Step-by-step explanation:
A reasonable domain would be
−∞<x<∞
because
A(x)
is defined for all real numbers.
Find the measure of the arc.
A
146°
E
B
MABC = [ ? 1°
Answer:
i get mABC = 270°
Step-by-step explanation:
This is fairly straight forward once you the right angle symbol for the arc AC. Also realizing the 148° for mAB is not needed for this question. The 148° for mAB would be useful if you wanted to calculate arc mBC.
Remember there are 360° in a circle.
The arc mAC is 90°
The arc mABC is the rest of the circle. is the arc from A to B to C
arc ABC + arc AC is the full circle 360°
mABC + mAC = 360° mAC = 90°
mABC + 90° = 360° - 90° from both sides
mABC = 360° - 90°
mABC = 270°
The angle ∠ABC in the given circle will be 270°.
What is an angle?
An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
Angle is very useful to measure any angular rotational motion for example if you have to find out the rotation among the circle then it cannot measure in length parameter such that meter inch so it will be measured as an angle in a unit of degree or radian.
In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Now since we know that the angle of complete rotation is 360°.
Now ∠ADC + ∠ABC = 360
Given that ∠ADC = 90°
∠ABC = 360° - 90° = 270°
Hence, 270° will be the correct answer.
For more about the angle
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A student has four sticks of wood that measures 3inches 4 inches 5 inches and 6 inches can the student make a right triangle why or why not?
PLEASE HELP ME I need help and no body is answering and it sucks !! PLEASE ANSWER ⚠️⚠️
Answer:
Yes, the student can use three of these sticks to make a right triangle.
Step-by-step explanation:
The measure of four sticks = 3 inches, 4 inches, 5 inches and 6 inches.
36.Find the following using suitable identities.
a) (7a – 4b) (7a + 4b)
b) 501 x 502
Would appreciate if you send a pic of the solutions<3
Answer:
1) [tex]49 {a}^{2} - 16 {b}^{2} [/tex]
2) [tex]251502[/tex]
Step-by-step explanation:
a) Question :-[tex](7a - 4b)(7a + 4b)[/tex]
Identity used here :-[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]
So,
[tex](7a + 4b)(7a - 4b)[/tex]
[tex]=> {(7a)}^{2} - {(4b)}^{2} [/tex]
[tex]=> 49 {a}^{2} - 16 {b}^{2} [/tex]
b) Question :- [tex]501 \times 502[/tex]
Identity used here :-[tex](x + a)(x + b) = {x}^{2} + (a + b)x + ab[/tex]
So,
[tex]501 \times 502 = (500 + 1)(500 + 2)[/tex]
[tex] = > {(500)}^{2} + (1 + 2)500 + 1 \times 2[/tex]
[tex] = > 250000 + 1500 + 2[/tex]
[tex] = > 251502[/tex]
Which inequality is a true statement?
Select each correct answer.
-5 = -7
ロ-5<-7
-5 > -7
0-5 > -7
-5 < -7
Answer:
-5 > -7 and 0-5>-7 are both true statements the rest aren't.
Step-by-step explanation:
can sb please tell me the answer
Answer:
136 hope this helps!
Use the distributive property to write an expression that is equivalent to 10(10x - 4).
Answer:
100x-40
Step-by-step explanation:
10*10x and 10* -4
What is the equation of the line through the origin and (3, 4)?
A. y = 3x
B. y = fx
C. y= 4x
D. y = 2
SUB
Answer:
a
Step-by-step explanation:
if 3and 4 origin it a would be your answer
what is this equal to
[tex] \frac{a + 8}{2} = \frac{a - 4}{8} [/tex]
i will mark brainiest if you explain please
Answer:
c,or d I think please be right
The volume is ___ cubic centimeters.
Answer:
4.24
Step-by-step explanation:
Please Help!!!!!! You have twice as many nickels as pennies. you have $1.10. How many of each coin do you have? Solve each problem using a system of equations...
Three bags of chips and sodas cost $12.50. Four bags of chips and two sodas cost $10.00. What is the cost of each item? ASAP pls!
Step-by-step explanation:
3c + 3s = 12.50
4c + 2s = 10.00
3S = 12.50-3c
s = 4.17 - c
4c + 2 (4.17-c) = 10.00
2c + 8.34 = 10.00
2c = 1.66
chips = 0.83
soda = 3.34
Please help me with the questions please ASAP
Answer:
x = 20
Step-by-step explanation:
You can solve this problem using similar triangles; you know the triangles are similar due to the AAA property because of the Corresponding Angles Theorem.
To find x, you need to identify what sides 8 and x correspond to:
8 corresponds to 14 (6 + 8)
x corresponds to (x + 15)
Now, you need to find the scale factor by dividing 14 by 8:
14 ÷ 8 = 7/4
At this point, you can write and solve an equation for x:
7/4x = x + 15
3/4x = 15 (subtract x from both sides)
x = 20 (multiply both sides by 3/4)
Percents!! Please help!!!
Answer: B.
Step-by-step explanation:
Suppose you have a L.L. Bean coupon of $63.60 and you want to know the final or sale price if the discount is 20 percent.
Using the formula (b) and replacing the given values:
Sale Price = Original Price - Amount Saved. So,
Sale Price = 63.60 - 12.72
Sale Price = $50.88 (answer).
This means the cost of the item to you is $50.88.
You will pay $50.88 for a item with original price of $63.60 when discounted 20%.
In this example, if you buy an item at $63.60 with 20% discount, you will pay 63.60 - 12.72 = 50.88 dollars.
Answer: $50.88
Step-by-step explanation:
Step 1: Find 20% of 63.60
20% of 63.60
20% = 20/100 = 0.2
0.2 × 63.60 = 12.72
20% of 63.60 is removed to get the selling price.
Step 2: Subtract
20% of 63.60 = 12.72
63.60 - 12.72 = 50.88
The selling price is $50.88.
Area of composite shapes!!
Find the area
Its geometry
Due Tomorrow
Plz HURRY
Offering brainliest
A rectangle has an area of 12x²+17x-5mm². For what value of x is the rectangle a square? What is the area of a square? Justify your answer and show your work. A=12x²+17x-5mm²
Answer:
23mm
528 mm^2
Step-by-step explanation:
The area of a rectangle is given as the product of its length and width.
Given that 12x²+17x-5mm² is the area
factorize
12x²+17x-5 = 12x²+20x -3x-5
= 4x(3x+5)-1(3x+5)
= (3x+5)(4x-1)
For the rectangle to be a square, it means that the sides 3x+ 5 and 4x - 1 are equal. Hence
3x + 5 = 4x -1
collect like terms
3x - 4x = -5 -1
-x = -6
x = 6
substitute into the sides
3x + 5 = 3(6) + 5 = 23
4x -1 = 4(6) - 1 = 23
The area of the square which is a product of the sides
= 23 * 23
= 529
The elves can make 200 toys per day at the north pole. How many days will it take to make 5,800 toys?
Answer:
29 days.
Step-by-step explanation:
200 • 29 = 5800
Hope this helps
Answer:
29
Step-by-step explanation:
5,800 ÷ 200 = 29
The average length of a female dolphin is about 179 inches What is the length in feet and inches pleaseee help me I have been stuck on this questions for about 20 mins !
pasar 125.85 metros a gigametros
Answer:
125.85 meter in gigameter = 1.2585 x 10⁻⁷
Step-by-step explanation:
Given:
125.85 meter
Find:
125.85 meter in gigameter
Computation:
1 Gm = 1,000,000,000 m
125.85 meter in gigameter = 125.85 x 10⁻⁹
125.85 meter in gigameter = 1.2585 x 10⁻⁷
Please help will give brainliest
On the number line, which point is closest to
A. A
B. B
C. C
D. D
Answer:
the answer is ç
Step-by-step explanation:
because π=3.14
Justine earned $19,000 during the first year of her job at city hall. After each year, she received a 8.6% raise. Find her total earnings throughout her 20-year career.
Answer:
929,477.13
Step-by-step explanation:
Number of years, n = 20
Using the relation :
a(1- r^n)/ (1 - r) ;
where a is the first term, r is the common ratio and n is the number of years
a = 19000
r = 1 + 8.6% = 1.086
19000(1 - 1. 086^20) / (1 - 1.086)
19000(1 - 1.086^20) / (1 - 1.086)
−79935.0336930 / (1 - 1.086)
= 929,477.13
What is 308 kg shared in the ratio 1 : 2 : 5?
Answer:
It will became like this.
38.5kg.77.kg192.5.kgHope this will help you.
Answer:
38.5, 77, 192.5
Step-by-step explanation:
x + 2x + 5x = 308
8x = 308
x = 38.5
38.5 + 2(38.5) + 5(38.5)
38.5 + 77 + 192.5 = 208
38.5, 77, 192.5
9 less than m squared
Answer: b = m
(3 + m)(3 - m)
Step-by-step explanation: