Answer:
2880 square units
Step-by-step explanation:
Since the area of a rhombus, A = d₁ × d₂/2 where d₁ and d₂ are its diagonals. Given that d₁:d₂ = 2:1, d₁/d₂ = 2/1, so d₁ = 2d₂. Also, the length of side of the rhombus L = 60 units.
We find the length of the diagonal by Pythagoras' theorem since the diagonals are perpendicular to each other and bisect each other at their mid point.
The mid point of d₁ = d₁/2 and the midpoint of d₂ = d₂/2.
By Pythagoras' theorem,
L² = (d₁/2)² + (d₂/2)²
L² = d₁²/4 + d₂²/4
Now, d₁ = 2d₂
So, L² = (2d₂)²/4 + d₂²/4
L² = 4d₂²/4 + d₂²/4
L² = d₂² + d₂²/4
L² = 5d₂²/4
d₂² = 4L²/5
taking square root of both sides,
√d₂² = √(4L²/5)
d₂ = 2L/√5
Since L = 60 units, then
d₂ = 2L/√5
d₂ = 2(60)/√5
d₂ = 120/√5
rationalizing the denominator by multiplying the numerator and denominator by √5, we have
d₂ = 120/√5 × √5/√5
d₂ = 120√5/5
d₂ = 24√5 units
So, our area A = d₁ × d₂/2
Since d₁ = 2d₂, our area is
A = 2d₂ × d₂/2
A = d₂ × d₂
A = d₂²
substituting d₂ = 24√5, we have
A = d₂²
A = (24√5)²
A = (24)²(√5)²
A = 576 × 5
A = 2880 square units
Help me please with this question
Answer:
107cm
Step-by-step explanation:
The the answer is 107 because you have to add up all of the numbers.
I really need help on this one I
Answer:
60
Step-by-step explanation:
60
What is the value of x in the circle on the right?
The area of a rhombus is 36 sq. cm. If its perimeter is 16cm, find its altitude.
Answer:
Perimeter of rhombus =4×l
16=4l
l=16/4=4
its length =4cm
area of rhombus=36cm²
base× height (here base=length)=36cm²
4h=36
h=36/4=9
:.altitude of rhombus is 9cm.
LAST QUESTION PLS HELP. (It's not solve for x)
Answer:
40
Step-by-step explanation:
So, if the angle shown, one of them is 70. the other is 110, because line is 180 degress, 180-70 = 110. C is 110. But, we need to find B. 13x + 6 must also be 70 degrees. 70-6 = 64. 64/13 = about 5. A is 100. The inner angles are 70+70+N. Angles in triangle are 180, so N is 180-70-70, which is 180-140. The B is 40 degrees.
Answer:
m∠ABC = 26°
Step-by-step explanation:
13x+6 + 8+3x + 70 = 180
16x + 84 = 180
16x = 96
x = 6
m∠B = 8+3(6) = 26°
Each member of the swim team must pay $76 to join the team. There are 376 members. How much does the team receive in dues?
Answer:
$28,576
Step-by-step explanation:
$76 (amount that each member pays) * 376 (total members) = $28,576 (amount that will be received in dues)
I hope this helps :)
Find the missing fraction. What is the ??? equal to? (the fractions aren't in order)
1/12, 1/27, 1/6, 1/9, ???, 1/3
if you could help that would be amazing! thanks!
Step-by-step explanation:
1/6 divided by 3=1/2.
I think this is the answer
Please please help i need thisrigt now
Answer:
oh i can't see the picture!!!
Step-by-step explanation:
what is 1.5 as a fully simplified fraction , thank youuuuu !!
hallar el área de un triangulo rectángulo isósceles cuyos lados miden 10cm cada uno
helpppp
PLEASE HELP ASAP !!!!!
Answer:
The correct answer is
b) DEF=QRS
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer: C
Step-by-step explanation:
Answer:
the answer is 8 I think lol
A placement test is administered to collegiate freshmen. The test is known to be approximately normal with a mean of 65 and a standard deviation of 5. Sheila scored a 59 on this test. Does this score place Sheila in the bottom 10% of test takers?
Answer: D. She is above 11.5% of test takers
Step-by-step explanation:
So logically we can eliminate like 3 answers and let me explain why
So first we can eliminate both A and B because the question asks "Does this score place Sheila in the bottom 10% of test takers?" If the answer were yes she wouldn't be "above 8.5%" or "above 11.5%" because she would be below.
So that would leave both C and D right. Lets look at C first. It says "No, she is above 8.5% of test takers" But if she is above 8.5% she could hypothetically be in the 9% or the 9.5% of test takers. Since this answer doesn't gurantee she would be above 10% we can't choose it. Now D it says "No, she is above 11.5% of test takers" This is correct because She is not in the bottom 10% because according to the empirical rule she is I would say around or just under 16% of test takers. Also the 11.5% part gurantees that anything above the number 11.5 is greater than 10%. Unlike in C which only says the number is greater than 8.5 which means the number could be 8.6 which is NOT greater than 10.
Which line is tangent?
Heather has divided $5600 between two investments, one paying 9% the other paying 5%. If the return investment is $396, how much does she have in each investment?
Answer:
x = 2700 y=2900
Step-by-step explanation:
x+y = 5600
5/100 x + 9/100 y = 396
x+y=5600
5x+9y=39600
5x+5y = 28000
5x+9y=39600
-4y = -11600
y= 2900
x = 5600-2900 = 2700
please help!!!!!! :)
Answer:
Step-by-step explanation:
2w+11=109
2w=98
w=49°
Find the value of the expression below for x=3
x^2+5
Answer: 14
Step-by-step explanation: 3 to the second is 3 twice EX. 3x3=9, 9+5=14
Answer: x= −5 /2 + 1 /2 √37 or x= −5 /2 + −1 /2 √37
Step-by-step explanation:
Step 1: Subtract 3 from both sides.
x2+5x−3=3−3
x2+5x−3=0
For this equation: a=1, b=5, c=-3
1x2+5x+−3=0
Step 2: Use quadratic formula with a=1, b=5, c=-3.
x= −b±√b2−4ac /2a
x=
−(5)±√(5)2−4(1)(−3) /2(1)
x= −5±√37 /2
x= −5 /2 + 1 /2 √37 or x= −5 /2 + −1 /2 √37
What is the image point of (2,9) after the transformation
T-1,-4 o ry=x?
Answer:8,-2
Step-by-step explanation:
Delta math
write this expression without grouping symbols.
-3x(2x+5)
Answer:
− 3 ( 2 + 5 )
Step-by-step explanation
Simplifica
Distribuye
− 3 ( 2 + 5 ) − 6 2 − 1 5
Solución
− 6 2 − 1 5
help please... Thank you in advance
Answer:
156
Step-by-step explanation:
A roller coaster is at the top of a 72 m hill and weighs 134 kg. The coaster (at this moment) has____________ energy. Calculate it.
A. Kinetic Energy and 347,328J
B. Kinetic Energy and 9,648J
C. Potential Energy and 9,648J
D. Potential Energy and 94,550.4J
Answer:C
Step-by-step explenation: m=134kg,h=72m,g=10m/s
PE=mgh
PE=(134kg)(10m/s^2)(72m)
PE=964800J
A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. The volume of each small box is 6 cubic feet
and the volume of each large box is 22 cubic feet. A total of 22 boxes of paper were
shipped with a combined volume of 324 cubic feet. Write a system of equations that
could be used to determine the number of small boxes shipped and the number of
large boxes shipped. Define the variables that you use to write the system.
Answer:
10 small boxes and 12 large boxes
Step-by-step explanation:
Let x = number of large boxes
Let y = number of small boxes
We are told that;
volume of each small box = 6 cubic feet
volume of each large box = 22 cubic feet.
Total volume = 324 ft³
Thus;
6x + 22y = 324 - - - (eq 1)
We are told that 22 boxes of paper were shipped.
Thus; x + y = 22 - - - (eq 2)
Making x the subject in eq 2 gives;
x = 22 - y
Put 22 - y for x in eq 1;
6(22 - y) + 22y = 324
132 - 6y + 22y = 324
16y = 324 - 132
16y = 192
y = 192/16
y = 12
So, x = 22 - 12 = 10
a = 5bc
b = -4 and c = -3
Work out the value of a.
Step-by-step explanation:
a=5*-4*-3
a=-2
hope this helps
Determine the amounts horizontally and vertically that the given point was translated.
1. A translated to B
2. A translated to C
3. D translated to B
4. C translated to D
5. B translated to C
Answer:
OPTION B I THINK SOOOO
PLS MAKA ME BRAINIST PLS
Step-by-step explanation:
HOPE YOU HELP
Answer:
1. x = 1
y = -7
2. x = 9
y = -5
3. x = -6
y = -5
4. x = -2
y = 3
5. x = 8
y = 2
Step-by-step explanation:
Count until you get from the first point to the next.
help meee plsssss
:)
I need help who ever get it right get brainly
Answer:
m<a = m<c since those two angles are vertical angles.
m<a + m<b = 90⁰ since, if you look closely m<a and m<b forms a 90⁰ angle that means it is equal to 90⁰.
Hope this helps and I would appreciate if you give me the brainlist or not thank you :) !!
What are the coordinates of the point on the directed line segment from (-10, -5) to (5, 1) that partitions the segment into a ratio of 1 to 2?
if you make a graph and add the coordinates on the graph you can use that find out how it creates a ratio of 1:2
4. Divide z(5z2 - 80) by 5z (z+4)
Answer:
z-4
Step-by-step explanation:
z(5z²-80) ÷ 5z(z+4) = z-4
Step-by-step explanation:
Given: z(5z²-80) ÷ 5z(z+4)
Calculation:
First we factor numerator z(5z²-80)
Take out 5 from 5z²-80 and we get 5z(z²-16)
Now we factor 16 = 4²
5z(z²-4²)
Using formula, (a²- b²)=(a+b)(a-b)
5z(z²- 4²)⇒5z(z+4)(z-4)
Simplified fraction
5z(z+4)(z-4) ÷ 5z(z+4)
Cancel like factor from numerator and denominator
⇒ z-4
Thus, z(5z²-80) ÷ 5z(z+4) = z-4
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Angle a = 126. What is the measure of angle b? Explain how you calculated your answer.
Angle a = 126 Write an equation(s) in terms of b to find the measure of angle h.
Calculate the measure of angle h, using the equation(s) you wrote for Part B.
How would knowing the measure of angle y change the equation(s) you wrote in Part B to find the measure of angle h?
2021 Muminate Education Inc
Answer:
um here
Your input: factor x2+4x+3.
To factor the quadratic function x2+4x+3, we should solve the corresponding quadratic equation x2+4x+3=0.
Indeed, if x1 and x2 are the roots of the quadratic equation ax2+bx+c=0, then ax2+bx+c=a(x−x1)(x−x2).
Solve the quadratic equation x2+4x+3=0.
The roots are x1=−1, x2=−3 (use the quadratic equation calculator to see the steps).
Therefore, x2+4x+3=1(x+1)(x+3).
(x2+4x+3)=1(x+1)(x+3)
Step-by-step explanation:
What kind of number is
5 1/4
Answer:
I think you're talking about mixed numbers
Step-by-step explanation: