A parallelogram has side lengths of 13 and 17 and an angle that measures 64°. Parallelogram W Y Z V is shown. The lengths of W V and Y Z are 13 and the lengths of W Y and V Z are 17. A diagonal is drawn from point V to point Y. The length of V Y is x. Angle V W Y is 64 degrees. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is x, the length of the diagonal, to the nearest whole number? 16 18 19 21

Answer:

8 x 13 = 104 cm squared. So the envolope is 8 cm by 13 cm

Step-by-step explanation:

8 x 13 is 104 and 13 is 5 more then 8. Hope this helps. Have a great day!

Step-by-step explanation:

The terms 9√x - 3√x have a common factor of √x.

Therefore 9√x - 3√x = √x * (9 - 3) = 6√x.

Answer:

x = 2

Step-by-step explanation:

Given

3(x - 4) = 2(- 2x + 1) ← distribute parenthesis on both sides

3x - 12 = - 4x + 2 ( add 4x to both sides )

7x - 12 = 2 ( add 12 to both sides )

7x = 14 ( divide both sides by 7 )

x = 2

Answer: 2=x

Step-by-step explanation:

3(x-4)=2(-2x+1) <- multiply number outside of parentheses by numbers inside parentheses

1)3x-12=-4x+2

2)-3x      -3x <- subtract -3x

-12=-7x+2 <- what you should have after

3)-2      -2 <- subtract 2

-14=-7x <- what you should have after

4)/-7 /-7 <- divide by -7

2=x <- what you should have after

/= divide

remember: negative multiplied by a negative equals a positive, and a negative multiplied by a positive equals a negative.

Answer:

-2/3

Step-by-step explanation:

Answer:

Step 2 contains error in the given problem.

Step-by-step explanation:

Given expression is:

[tex]\frac{1}{2}x-3=\frac{1}{3}x+6[/tex]

Step 1: identifying the LCM.

The LCM identified is 6.

This step is correct.

In the next step, we multiply the LCM with each term of the equation.

Step 2:

[tex]\frac{6}{1}(\frac{1}{2}x) -3 =\frac{6}{1}(\frac{1}{3}x)+6[/tex]

However,

In the given solution, the LCM is not multiplied with each term.

Hence,

Step 2 contains error in the given problem.

Answer:

39 degrees

Step-by-step explanation:

Add: 39+54+48=141

180 (degrees of a straight angle) minus 141=39

39 degrees

Hope I helped!! :)

Brainliest?!?!

Stay safe and have a good day/night/afternoon!!!

Answer:

a + b = 50 (Two numbers total 50)

b = a - 6 (one number is 6 less than the other)

Since we have a value, we can use the substitution metod:

a + a - 6 = 50

Simplify:

2a - 6 = 50

From here, you should know how to isolate a variable--add 6 then divide by 2 in this case. That'll give you a, and you'll be able to use that to solve for b.

2(a) -6= 50

2a-6= 50

six goes and adds to 50 on the other side

2a = 56

divide both sides by 2

a= 28

final answer 28

Answer: 3.75

Step-by-step explanation:

[tex]b = 5\\c=6.25\\a^{2} + b^{2} = c^{2} \\a^{2} +5^{2} = 6.25^{2} \\a^{2} + 25 = 39.0625\\a^{2} = 14.0625\\\sqrt{a^{2}} =\sqrt{14.0625} \\a = 3.75[/tex]

The missing side length is 3.75

Answer:

Step-by-step explanation:

first the parenthesis

3^4/3^0=3^4

anything raised to the power of 0 is 1

(3^4)^2=3^8     you multiply the powers

3^-6 * 3^8= 3^(-6+8)=3^2

Thhe simplified form of the expression is 9

Indices are expressed as power or exponent which is raised to a number or a variable.

According to the law of indices

[tex]a^n \times a^m = a^{n+m}\\a^n \div a^m = a^{n-m}[/tex]

Given the expression

[tex]3^{-6} \times (\dfrac{3^4}{3^0} )^2[/tex]

This can also be expressed as:

[tex]=\dfrac{1}{3^6} \times (\frac{3^4}{1})^2 \ (3^0 =1)\\= \dfrac{1}{3^6} \times 3^8\\=\dfrac{3^8}{3^6}\\=3^{8-6}\\=3^2\\=9\\[/tex]

This shows that the simplified form of the expression is 9

Learn more here; https://brainly.com/question/11116645

Answer: 75.5168679507.

Answer:

Step-by-step explanation:

plug in 3 for x then simplify

-3(3) - 2

= -9 - 2

= -11

hope this helps <3

Answer:

yes

Step-by-step explanation:

3/5 = 0.6 =0.60

hence it's bigger than 0.65

Answer:

minimum point

(5,4)(-2,4)

Answer:

I add a photo in my answer... I hope it's explain how I solved

Answer:

the answer is [tex]\frac{25}{15}\\[/tex] Hope this helps :}

Step-by-step explanation:

Here are 2 bowls. One of them has 25 gems and the other has 15 gems. Some of them are red. All the gems from the two bowls are now put into a third bowl. What fraction of the gems in the third bowl will be red?

Answer:

2.25 ft

Step-by-step explanation:

Perimter= 28ft

W= x ft

L= 3x+5

but

P=2L+2W

substitute

28=2*(3x+5)+2x

28=6x+10+2x

collet like terms

28=8x+10

28-10= 8x

18=8x

divide both sides by 8

x= 18/8

x=2.25 ft

Hence the width is 2.25 ft

Answer: See explanation

Step-by-step explanation:

1. 4 apples cost $1.59

1 apple would cost $1.59 ÷ 4

1.59 ÷ 4 = 0.3975

0.3975 ≈ 0.40

1 apple would cost approximately 40 cents.

2. 3 apples cost $1.00

1 apple would cost $1.00 ÷ 3

1.00 ÷ 3 = 0.3333

0.3333 ≈ 0.33

1 apple would cost approximately 33 cents.

3. Loose apples are the better buy because 1 apple costs approximately 33 cents while packaged apples cost approximately 40 cents.

4. 15 ounces cost $1.05

1 ounce would cost $1.05 ÷ 15

1.05 ÷ 15 = 0.07

1 ounce would cost 7 cents.

5. 48 ounces cost $2.39

1 ounce would cost $2.39 ÷ 48

2.39 ÷ 48 = 0.0497

0.0497 ≈ 0.05

1 ounce would approximately cost 5 cents.

6. The 48-ounce jar of applesauce is the better buy because 1 ounce costs approximately 5 cents while a 15-ounce jar of applesauce costs 7 cents.

7. 15 ounces cost $1.54

1 ounce would cost $1.54 ÷ 15

1.54 ÷ 15 = 0.1026

0.1026 ≈ 0.10

1 ounce would approximately cost 10 cents.

8. 6 (six 1 ounce) ounces cost $1.15

1 ounce would cost $1.15 ÷ 6

1.15 ÷ 6 = 0.1916

0.1916 ≈ 0.19

1 ounce would approximately cost 19 cents.

9. The larger box of raisins has a lower unit cost of 10 cents.

10. When buying fruits, you might think about the quality of the fruit, the size.. etc.

Hope I helped!

Answer:

The yard in the drawing is 18 feet long

Step-by-step explanation:

The computation of the long yars in the following is as follow:

Given that

Scale used be 1 inch : 3 feet

And, the actual length is 54 feet

So, the long it would be

= 54 feet ÷ 3 feet

= 18 feet

Hence, The yard in the drawing is 18 feet long

Answer:

$60000 According to my calculations

Answer:

The equation of the line in the slope-intercept form will be:

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where  

From the attached graph, taking two points

Finding the slope between (0, 0) and (-10, 70)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(-10,\:70\right)[/tex]

[tex]m=\frac{70-0}{-10-0}[/tex]

[tex]m=-7[/tex]

Determining the y-intercept:

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear that:

at x = 0, y = 0

Thus, the y-intercept b = 0

Now, substituting m = -7 and b = 0 in the slope-intercept form

y = mx+b

y = -7x + 0

y = -7x

Therefore, the the equation of the line in slope-intercept form will be:

Answer:

Step-by-step explanation:

Multiplying by 0.21 is the same as decreasing by 21%?​

Answer:

21%

Step-by-step explanation:

the decimal for a percents is moved two places anytime it is multiplied.

Answer:

Step-by-step explanation:

3x*(?)=90

?=90/3x

?=30/x

Answer:

not a function

Step-by-step explanation:

there are two of the same inputs 4 and 4 that will cause it to not be a function

Step-by-step explanation:

Hi Ariana. There is no solution to this question as no line has the equation 2x-3y=92x-3y=9. Perhaps you copied wrongly. Kindly look at the source and come again for assistance

Answer:

587

Step-by-step explanation:

Okay, so when you divide this using calculator you get your answer

of 587.

But if you would like to do this the right way then it would look something like this:

Answer:45

Step-by-step explanation:

Given

at t=0 there are 4 unpaired socks

Suppose at any instant no of unpaired socks are [tex]N=4e^{kt}[/tex]

at t=4(months)

[tex]N=9=4e^{4k}\\e^{4k}=\frac{9}{4}[/tex]

for t=12(months)

[tex]N=4e^{12k}=4(e^{4k})^{3}[/tex]

[tex]N=4\times (\frac{9}{4})^3=\frac{9^3}{4^2}\\N=45.56\approx 45\ \text{unpaired socks}[/tex]

Answer:

35+115+u+2u=360(as angles of quadrilateral sum up to it)

150+3u=360

3u=360-150

3u=210

u=210/3

u=70

Step-by-step explanation:

Answer:

Slop intercept form hopefully this helps