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8. The two diagonals of a parallelogram meet at a 60° angle. The diagonals are 10 cm and 6 cm long. Find the lengths of the sides of the parallelogram.
Target due: 1/14/22 52% 5
10 cm
0 14 cm, 8.7 cm
4.4 cm, 2.8 cm
CLASS INFO
O 4.4 cm, 4.4 cm
7 cm, 4.4 cm
818-572-
ak:
tnp-
2 01:15:20

Answers

Answer 1

9514 1404 393

Answer:

  7 cm, 4.4 cm

Step-by-step explanation:

The side lengths can be found from the law of cosines. Each triangle has legs 3 cm and 5 cm. The angle between these will be 60° or 120°. Then the two sides of the parallelogram are ...

  s = √(a² +b² -2ab·cos(C))

  s = √(3² +5² -2·3·5·(±1/2)) = √(34 ±15) = {√49, √19}

The two side lengths are 7 cm and about 4.4 cm.

Reading ListAll Changes Saved8. The Two Diagonals Of A Parallelogram Meet At A 60 Angle. The Diagonals

Related Questions

a sequence starts 2,-1,-4,-7 what is the 25th term

Answers

Answer:

-70

Step-by-step explanation:

They have a common difference of -3

For which of following equations is (-2,-3) not a solution (Will give brainlest plus 33 points)

Answers

Answer:

[tex] - 3x = 4y - 6[/tex]

[tex] - 3( - 2) = 4( - 3) - 6[/tex]

[tex]6 = - 12 - 6[/tex]

[tex]6 = - 18[/tex]

Can I please get help with these 2 questions about polygons

Answers

Answer:

a)139°

Step-by-step explanation:

two co interior angles make one opposite exterior angle

49+90=139°

If the circumference of a right cylinder is tripled, the volume will increase by a factor of _____.

Answers

Answer:the answer is 9

Step-by-step explanation:

Calculate 6+9i/-1+4i

Answers

Multiply the numerator and denominator by the conjugate of the denominator:

[tex]\dfrac{6+9i}{-1+4i} \times \dfrac{-1-4i}{-1-4i} = \dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2}[/tex]

Simplify:

[tex]\dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2} = \dfrac{-6-9i-24i-36i^2}{1-16i^2} = \dfrac{-6-33i-36i^2}{1-16i^2} = \dfrac{-6-33i+36}{1+16} = \boxed{\dfrac{30-33i}{17}}[/tex]

What is his weekly allowance if he ended with $15?

Answers

3 dollars a day would be the answer i bel bye
3 dollars I believe

I need help to find Y =

Answers

Answer:

3

Step-by-step explanation:

It’s 3 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mrs Dlamini bought a 10kg bag of rice. She cooks 500g of rice per day. How many days will the bag of rice last her family​

Answers

Answer:

20 days

Step-by-step explanation:

10kg= 10,000g

10,000g/500g= 20 days

Answer:

20 days

Step-by-step explanation:

1 kg=1000 grams

10 kg=10000 grams

10000÷500

=20 days

I am struggling with this question anyone help

Answers

9514 1404 393

Answer:

  b, c

Step-by-step explanation:

The factor (x+7) is common to both numerator and denominator. The function can be simplified by cancelling that factor.

  y = (x -3)/(x -9) . . . . . . x ≠ -7

The restriction x ≠ -7 is put on the simplified function because the original function is undefined there. The denominator factor x+7 makes the denominator 0 at that point.

The point at x=-7 is called "hole" in the graph. A properly drawn graph will show the function is undefined there (has a hole).

__

The denominator of the simplified function is zero when x=9. This means there is a vertical asymptote at x=9.

__

The ratio of the highest-degree terms of the numerator and denominator will tell you the end behavior of the function — its value when x is large. Here, that ratio is y = x/x = 1. This represents a horizontal asymptote at y=1. The function approaches this line as x gets large, but never reaches it.

The appropriate descriptors are ...

Asymptote: x=9, y=1Hole: x=-7

2). 2, x, 14 are in Arithmetic progression, then the value of x is :
A. 28
B. 16
C. 7
D. 8​

Answers

the answer is C. 7 hope it help ;)
An arithmetic progression is a constant rate of change through addition or subtraction. The formula for an arithmetic sequence/progression is an = a1 + (an-1)d. an is the term that we are looking for, a1 is the first term, and d is the common difference which is the distance between each of the numbers.

If we plug in our numbers, we get 2 = 2 + (2-1)6. I found the common difference by subtracting 14 and 2 and then dividing by 2. 12/6 = 6. We need to first multiply 1 and 6 to get 6. 6 + 2 is 8. Therefore, the value of x is 8.

please help fast!! geometry

Answers

Answer:

512 inches ^2

Step-by-step explanation:

The surface area is found by

SA = 2(lw+wh+hl)  where l is the length  h is the height and w is the width

SA = 2( 8*8 + 8*12 + 12 * 8)

   = 2(64+ 96+96)

    = 2 ( 256)

   = 512 inches ^2

Answer:

512 square inches

Step-by-step explanation:

8 x 8 = 64

12 x 8 = 96

64 x 2 = 128

96 x 4 = 384

128 + 384 = 512 in^2

1.2 m
1.2 m
Susie is 1.13 metres tall
She has a play tent in the shape of a triangular prism.
The diagram shows the front view of the tent.
The front of the tent has been drawn to scale below.
a) Complete the scale drawing.
1.5m
Not drawn accurately
b) Can Susie stand up in the
middle of the tent?
1.5m
Scale: 1 cm represents 60 cm

Answers

Split the triangle into 2 right in the middle so you have 2 identical right triangles. The base on one would be half the base of the triangle shown so, the base would be: 1.5/2 = 0.75 m.

Now using the Pythagorean theorem you can find the height:

Height - sqrt(1.2^2 - 0.75^2)

Height = sqrt(1.44 - 0.5625)

Height = sqrt(0.8775)

Height = 0.93675 meters

The height of the tent is smaller than the height of Suzie so she cannot stand up.

Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.

A. 11.7
B. 11.9
C. 11.4
D. 14.4

Answers

Answer:

Option A, 11.7

Step-by-step explanation:

To find height,

tan 68 = 26/h

h = 26/tan(68)

to find x

tan(42) = h/x

x = h/tan(42)

x = 11.7 (rounded to the nearest tenth)

Answered by GAUTHMATH

Find he probability of no more than 35 defective CD's in a batch of 80 CD's if the probablility of any one CD being defective is 0.1.

Answers

Answer:

0.999999

Step-by-step explanation:

Given that :

Probability of CD being defective, p = 0.1

q = 1 - p = 1 - 0.1 = 0.9

Total number of CD's = number of trials = 80

Probability, that no more than 35 CD's are defective ;

The question satisfied the requirements for a binomial probability problem ;

Recall :

P(x = x) = nCx * p^x * q^(n-x)

Hence,

P(x ≤ 35) = 80C35 * 0.1^35 * 0.9^(45)

Using calculator to save computation time :

P(x ≤ 35) = 0.999999

Factor completely 3x - 15.
O 3(x - 5)
O 3(x + 5)
O 3x(-15)
O Prime

Answers

Answer: First Choice. 3 ( x - 5 )

Step-by-step explanation:

Concept:

When we are doing factoring, we should try to find any Greatest Common Factor (GCF) of all constants in the given expression.

The Greatest Common factor is the largest value of the values you have, that multiplied by the whole number is able to "step onto both".

Solve:

Factors of 3: 1, 3

Factors of 15: 1, 3, 5, 15

As we can see from the list above, 3 appears in both lists of factors and is the greatest for 3. Therefore, [3] is the GCF of 3 and 15

Divide 3 for both numbers to find the remaining.

3x / 3 - 15 / 3x - 5

Check whether or not the remaining can be divisible

Ans: NO

Put the factored out 3 and remaining together

3 ( x - 5)

Hope this helps!! :)

Please let me know if you have any questions

Hamid had gained weight he is now 88k which is 10% more then he uses to be what was his original weight

Answers

Answer:

80k

Step-by-step explanation:

let the previous weight be x

88=x + 10%of x

88=x+(10/100)of x

8800=110x

8800/110=x

x=80k

Answer: Original weight = 80 kg

Step-by-step explanation:

Given:

Current weight = 88 Kg

Gain weight rate = 10%

Solve:

Original weight = Current weight / Gain rate

Original weight = (88) / (1 + 10%)

Original weight = 80 Kg

Hope this helps!! :)

Please let me know if you have any questions

20 points lovelys <3​

Answers

Answer:

A) 2 cm

Step-by-step explanation:

By definition, regular polygons have equal sides and angles. Therefore, each side of the regular hexagon must be equal. Since one side is marked as 2 cm, the length of PQ must also be 2 cm.

Please hurry I will mark you brainliest

Answers

Step-by-step explanation:

I think you first have to calculate a°,this can be done by first finding c°

c°=180-125

=55°

opposite angles in a quadrilateral add up to 180

therefore a°=180-55

=125

therefore angle d

180-125

=55

I hope this helps

What are the first 5 terms?

Answers

Answer:

please can you specify which topic exactly is it on Arithmetric or Geometric Progression or on another topic

please kindly specify and send the question back

Thank you

Step-by-step explanation:

Answer:

5, 12, 19, 26, 33

Step-by-step explanation:

Using the recursive rule and a₁ = 5 , then

a₂ = a₁ + 7 = 5 + 7 = 12

a₃ = a₂ + 7 = 12 + 7 = 19

a₄ = a₃ + 7 = 19 + 7 = 26

a₅ = a₄ + 7 = 26 + 7 = 33

The first 5 terms are 5, 12, 19, 26, 33

_(9)=(2(1-2(2)^(9)))/(1-2(2))


PLEASE HELP ME OUT.

Answers

Answer:

the answer = um ok

Step-by-step explanation:

Please help me solve this guys Thankyou so much

Answers

Step-by-step explanation:

first blank: 0 seconds

second blank: 9.8 seconds

third blank: 5 seconds

fourth blank: 120 meters

Determine the measure of the interior angle at vertex E.

A. 135
B. 45
C. 225
D. 75

Answers

Answer:

135

Step-by-step explanation:

The sum of the interior angles of a pentagon is 540

3x+3x+2x+2x+2x = 540

12x = 540

Divide by 12

12x/12 = 540/12

x = 45

E = 3x = 3*45 = 135

Answer:

135

Step-by-step explanation:

G is related to one of its parent function g(x)=2√x. a) find the f function b) using the function notation write g interns of f

Answers

Answer:

Here we have:

g(x) = 2*√x

And we know that it is related to a parent function, where the parent functions are:

Linear Function: f(x)=x.

Quadratic Function: ݂f(x)=x^2.

Square Root function: f(x)= √x.

Absolute Value function: f(x)=|x|

Cubic function: f(x)=x^3.

Cube Root function: f(x) = ∛x

Logarithmic function: f(x)=log x or f(x)=In x.

Exponential function: f(x) = a^x.

a) Because g(x) = 2*√x

We can see that it is related to the square root function, then the parent function is:

f(x) = √x

b) now we want to write g(x) in terms of f(x)

we have:

g(x) = 2*√x

we can replace √x by f(x)

then we get:

g(x) = 2*f(x)

Now we have g(x) in terms of f(x)

Given the radius and area of the circle, calculate the angle at the centre of the circle.

Radius : 21 m
Area of the circle : 27.72 m^2​

Answers

Answer:

[tex] \theta = 7 .2\degree [/tex]

Step-by-step explanation:

[tex]area = \frac{\theta}{360} \times \pi {r}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times {21}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times 441 \\ \frac{27.72 \times 360}{441\pi} = \theta \\ \frac{9979.2}{1385.4} = \theta \\ \\ 7 .2\degree = \theta[/tex]

SOMEBODY GET IT RIGHT FOR ME PLS I NEED HELP ITS PYTHAGOREAN THEOREM

Answers

Answer:

a^2+b^2=c^2

a^2=c^2-b^2

a^2=10^2-5^2

a^2=100-25

a^2=75

a=7.7cm

Step-by-step explanation:

Select the expression that represents the following statement: find the sum of 6 and 14 and divide by 4.


a (6 + 14) ÷ 4

b 14 ÷ 4 + 6

c 4 x 4 – 6

d 14 x 6 ÷ 4

Answers

I believe it’s A not sure tho

Answer:

A

Step-by-step explanation:

what is the height of the water prism

Answers

Answer:

32 because I Don't know please vote my answer please

Answer:

12 (10) cm 937 637 = hafe 2929888389292822

1. Use the cosine and sine functions to express the exact coordinates of P in terms of angle θ.
2. Mark a point Q on the unit circle where tangent has a value of 0.

Answers

Answer:

For a point defined bt a radius R, and an angle θ measured from the positive x-axis (like the one in the image)

The transformation to rectangular coordinates is written as:

x = R*cos(θ)

y = R*sin(θ)

Here we are in the unit circle, so we have a radius equal to 1, so R = 1.

Then the exact coordinates of the point are:

(cos(θ), sin(θ))

2) We want to mark a point Q in the unit circle sch that the tangent has a value of 0.

Remember that:

tan(x) = sin(x)/cos(x)

So if sin(x) = 0, then:

tan(x) = sin(x)/cos(x) = 0/cos(x) = 0

So tan(x) is 0 in the points such that the sine function is zero.

These values are:

sin(0°) = 0

sin(180°) = 0

Then the two possible points where the tangent is zero are the ones drawn in the image below.

23. (04.05)
Which statement best describes the effect of replacing the function f(x) = 2 ^x-2 with the function g(x) = 2 ^x+3

The graph shifts 1 units left.
The graph shifts 5 units left.
The graph shifts 1 unit right.
The graph shifts 3 units right.

Answers

Answer:

The graph shifts 5 units left

Step-by-step explanation:

The given functions are;

f(x) = [tex]2^{x - 2}[/tex], g(x) = [tex]2^{x + 3}[/tex]

Therefore, we have;

When x = 2, f(2) = [tex]2^{2 - 2}[/tex] = 1  and g(2) = [tex]2^{2 + 3}[/tex] = 32

When x = 3, f(3) = [tex]2^{3 - 2}[/tex] = 2  and g(3) = [tex]2^{3 + 3}[/tex] = 64

When x = 6, f(6) = [tex]2^{6 - 2}[/tex] = 16  and g(6) = [tex]2^{6 + 3}[/tex] = 512

When x = 7, f(7) = [tex]2^{7 - 2}[/tex] = 32 and g(7) = [tex]2^{7 + 3}[/tex] = 1024

When x = 8, f(8) = [tex]2^{8 - 2}[/tex] = 64  and g(8) = [tex]2^{8 + 3}[/tex] = 2,048

Therefore, the y-value of f(x) obtained at x = 8, is obtained by g(x) at x = 3, and the graph is shifts(ed) 5 units left.

Which statement is true? O A. The number 23 is prime, but 36 is composite. B. The number 33 is prime, but 42 is composite. OC. The number 21 is prime, but 25 is composite. D. The number 27 is prime, but 39 is composite.​

Answers

Answer: A. The number 23 is prime, but 36 is composite.

=====================================================

Explanation:

Let's go through the possible answer choices

A) This is true because 23 only has the factors 1 and 23. So that's why 23 is prime. We can say 36 is composite since 2 is a factor, ie 36 = 2*18.B) This is false because 33 is not prime. Note how 33 = 3*11, showing that 3 is a factor of 33.C) Similar to B, the statement "21 is prime" is false. Note how 21 = 3*7.D) Like the other false statements, 27 is not prime because 27 = 3*9.

23 is indeed prime, and 36 is indeed composite.

33 is composite, and 42 is indeed composite.

21 is composite, and 25 is composite as well

27 is not prime, and 39 is composite.

Primes have only 2 factors: 1 and themselves.

And 33, 21 and 27 definitely have more than 2 factors. Hope this helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

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