5π
3
The value of cos-
is equivalent to

Answer:

[tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]

Step-by-step explanation:

The equation of hyperbola is given by:

[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} }[/tex]

Where [tex]c^{2} =a^{2} +b^{2}[/tex]

∵ [tex]a=8,c=20[/tex]

∴ [tex]b^{2} =c^{2} -a^{2}[/tex]

⇒ [tex]b= \sqrt{20^{2} -8^{2} } =4\sqrt{21}[/tex]

Now, [tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]

⇒ [tex]\frac{x^{2} }{8^{2} } -\frac{y^{2} }{y(4\sqrt{21} )^{2} } =1[/tex]

⇒ [tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]

Hence, equation is [tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]

Hope this helps,

ROR

Answer:

correct answer is A. because the square root of 122 is 11.06 which means its between 11 and 12, not 10 and 11

Step-by-step explanation:

The cost after x years is the initial cost minus the amount of decrease after the duration of x years

Given Data

Let us find 8.5% of $25,399

= 8.5/100*$25,399

= 0.085*25399

= 2158.915

Cost after x years will be

Final cost = 25,399 - 2158.915*x

Learn more about percent decrease here:

https://brainly.com/question/24304697

Answer:

1/2(a-4)

Step-by-step explanation:

first blank is 1/2 and second is 4.

Answer:

24

Step-by-step explanation:

you slove the sides and find x

Answer:

x=40 m∠A=100° m∠B=80° m∠C=65°

Step-by-step explanation:

Step 1: Find relationships between the angles (corresponding, alternate exterior, alternate interior, consecutive interior, or consecutive exterior)

Step 2: m∠A + m∠B = 180°

So, (3x-20)° + (2x)° = 180°

Step 3: Solve for x (x=40)

Step 4: Plug in x to the angles

m∠A=  3(40) - 20

m∠B=  2(40)

m∠C=  2(40)-15

Answer:

A

Step-by-step explanation:

i dk im just desperate because the entire community is offline

Call the weight of the bag of apples as x (x = 6 2/7)

Since the crate of bananas is 4 times as heavy as the apples -> the crate of bananas = 4x

So, to find the weight difference, we minus those : 4x - x = 3x

Now we convert this : 3x = 3 x 6 2/7 = 132/7

Convert to :
Mixed : 18 6/7
Decimals (3 d.p) : 18.857...

Answer:

1.15

Step-by-step explanation:

(1.8*10-3)/(2*10-7)

(18-3)/(20-7)

15/13

1.15

..................

J is equal to 24 ____________________________

Answer:

1. [tex]x^2-6x+8=0[/tex]

2. [tex](x-4)(x-2)=0[/tex]

3. [tex]x=4 \text{ and } x=2[/tex]

4. [tex]x=4 \text{ and } x=2[/tex]

Step-by-step explanation:

1. When using substitution all we do would be is substituse the y for a 3.

This leaves us with the equation:

[tex]3=-x^2+6x-5[/tex]

Rewriting it we get:
[tex]0=-x^2+6x-8[/tex]

or if we shift the 0 to the other side:

[tex]x^2-6x+8=0[/tex]

2. In order to factor the equation we can use the butterfly method:

[tex]\left[\begin{array}{ccc}1&-4\\1&-2\end{array}\right][/tex]
So it factors out to:

[tex](x-4)(x-2)=0[/tex]
You can also use the quadratic formula.

3. To find the solutions we just set each factor to 0
[tex]x-4=0\\\text{and}\\x-2=0[/tex]
So the x-values would be:
[tex]x=4 \text{ and } x=2[/tex]

4. To find the solution to the system we just plug in the values and it turns out to be the same numbers as before.

Answer: 0 5 10

Step-by-step explanation:

y = 5(0)

y = 0

y = 5(1)

y = 5

y = 5(2)

y = 10

Answer:

0.53

Step-by-step explanation:

A fraction bar can also mean division. So 8/15 the fraction also means 8÷15.

8÷15 = 0.5333333...

Rounding to the nearest hundredth means there should be only two numbers to the right of the decimal point.

8/15 ~= 0.53

Answer:

4/3

Step-by-step explanation:

t^3=64/27

=4^3/3^3

=index same

t =4/3

Answer:

4/3)

Step-by-step explanation:

t- 3= 64/27

= 4-3/3-3

= index  same

t = 4/3

Loan A has the lower monthly payment

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

Explanation:

Loan A is at a rate of 6.9% over 5 years. The table says that if you borrowed $100 at this interest rate and time period, then the monthly payment would be $1.98 per month.

However, you are borrowing $17,601 which is 176.01 times greater than 100 since (17601)/(100) = 176.01

So 1.98*176.01 = 348.4998 = 348.50 is the monthly payment of loan A.

------------------

Meanwhile, loan B has an interest rate of 8.9% and lasts for 3 years. Use the table to see that borrowing $100 at this rate and time means the monthly payment is $3.18

The multiplier this time is 162.90 because (16290)/(100) = 162.90

Therefore, 162.90*3.18 = 518.022 = 518.02 is the monthly payment of loan B.

--------------------

To summarize, we have these monthly payments

Loan A has the lower monthly payment

Answer:

Take lcm and see

Step-by-step explanation:

5/27 ;4/15 ;7/18

Answer:

7

Step-by-step explanation:

Given expression:

The constant is a term that has no variables. Let's verify the terms in the expression to determine which term is the constant.

Determining if 6x³y is a constant:

Determining if 8x² is a constant:

Determining if 5x is a constant:

Determining if 7 is a constant:

Learn more about constants: https://brainly.com/question/11977365

Answer:

7

Step-by-step explanation:

The constant term in an expression is the term without a variable.

The variables in this expression are x and y, so the constant term is 7 as this term does not have a variable.

The ordered numbers from least to greatest are 33/100 = 0.33, 4/10 = 0.4, 5/10 = 0.5, 6/100 = 0.06, 3/4 = 0.75.

Divide the top number or numerator into the bottom number or denominator.

When organizing decimal numbers you need to follow the same rules than when organizing regular numbers. For example, 0.5 is greater than 0.4 because 5 is greatest than 4.

Based on this, the correct order is:

Learn more about numbers in: https://brainly.com/question/17429689

Step-by-step explanation:

2)D

3)A

4) B

5)C

6)D

7)B

8)B

9)C

10)C

11)A

12)D

p.s Pls at least try to do ur test urself

13) D

Answer:

Can I have a picture of the Graph please?

Answer:

[tex]x=\frac{5}{4} \text { or } x=-\frac{5}{4}[/tex]

Step-by-step explanation:

48 = 3 × 16

75 = 3 × 25

_________

Then, a Complete factorization of 48x² - 75 is :

[tex]\begin{aligned}48 x^{2}-75 &=3 \times\left(16 x^{2}\right)-3 \times(25) \\&=3 \times\left(16 x^{2}-25\right)\end{aligned}[/tex]

_____________________

Now let’s solve our equation 48x² - 75 = 0

48x² - 75 = 0 means 3 × (16x² − 25) = 0 means 16x² − 25 = 0

[tex]\begin{array}{l}16 x^{2}-25=0 \\\\\Leftrightarrow 16 x^{2}=25 \\\\\Leftrightarrow x^{2}=\frac{25}{16} \\\\\Leftrightarrow x=\sqrt{\frac{25}{16}} \text { or } x=-\sqrt{\frac{25}{16}} \\\\\Leftrightarrow x=\frac{5}{4} \text { or } x=-\frac{5}{4}\end{array}[/tex]

Answer:

Sin 21 = p/b

0.358 = 5.5 / x

x = 5.5 / 0.358

therefore , x = 6.97

Step-by-step explanation:

Use sin formula

which is perpendicular/ base

just put the value

Answer:

14.14

Step-by-step explanation:

We know that to calculate volume of a cone you must do π r^2*h/3

so we can divide the diameter by 2 to find the radius and just input the radius and height into the formula to get 14.14

b is a answer

Step-by-step explanation:

formula

=a+b/2×h

Answer: 126 mm^2.

Step-by-step explanation: When finding the area of a trapezoid, you need to add two bases, multiply the height, and divide it all in half.  The steps are done below:

Have a great day! :)

Answer:

B. 2^-6

C. 1/4³

D. (1/4) (1/4) (1/4)

Step-by-step explanation:

4^-3 is the same as 1/4³ so it is equivalent

46-3 = 1/64 so (1/4) (1/4) (1/4) is equivalent because it also equals 1/64

2^-6 is the same as 1/2^6 which equals 1/64 so it is also equivalent

B, C, and D are your answers

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

Step-by-step explanation:

Answer:

<GBF

Step-by-step explanation:

Supplementary angles add up to = 180 degrees. Usually, they are side by side in transversals such as this one. The angle supplementary to <GBH is <GBF or <FBG.

Hope this helps!

Answer:

32 C

Step-by-step explanation:

According to celsius conversion formula:

C = 5/9*(F-32)

= 5/9*(89-32)

= 5/9*57

Hence, C = 31.666

Rounding it off to the nearest whole number, the answer is 32 C.

Here’s what you need to know about intercepts. The x intercept of a graph has y coordinate zero. The y intercept of a graph has x coordinate zero.

AN EXAMPLE OF THIS IS:

So if you have a function y = 2x + 8 you would set x = 0 to find the y intercept. So we would get y = 8. To find the x intercept we would set y = 0 and get 0 = 2x + 8

or -8 = 2x or x = -4

Now if you have a more difficult like function y = 3x^2 + 10x - 4 we proceed the same way. To find the y intercept we would set x = 0 and get y = -4 so the y intercept is (0,-4)

To find the x intercept we would set y = 0 and get 3x^2 + 10x - 4 = 0. If you know the quadratic formula you could solve this by:

x = [-b +- SR(b^2 - 4*a*c] / 2a

so in our case x = [-10 +- SR(100 - 4*3*(-4))] / (2*3)

x = [-10 +- SR(100 + 48)] / 6

x = [-10 +- SR (148)] / 6

x = [-10 +- 12.2] / 6 approximately

x = [-10 - 12.2] / 6 or [-10 + 12.2 / 6]

x = -22.2/6 or 2.2/6

Answer:

Median is between 10 - 15 so you could estimate it to = 14. IQR = 10.

Step-by-step explanation:

Median is an estimate based on the box plot and IQR is the is the differene between Q3 and Q1,

[tex]\bigstar{\boxed{\pmb{Area\:of\:a\:Rectangle:\:A=LW}}[/tex]

[tex]\sf{A=8*5}[/tex]

[tex]\sf{A=40~ft^2}[/tex]

[tex]\rule{200}{2}[/tex]

[tex]\sf{A=4*8}[/tex]

[tex]\sf{A=32~ft^2}[/tex]

Now, add the areas:-

[tex]\sf{A=40+32+32~(since~there~are~2~walls~with~this~area)}[/tex]

[tex]\sf{A=72+32}[/tex]

[tex]\sf{A=104}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)