h/2 + 21 - k if h=20 and k=89

Answer:

x=38

y=24

Step-by-step explanation:

Answer: x = 15, y = 6

Step-by-step explanation:

1). (7y - 1) + (9x + 4) = 180 (the are supplementary angles)

2). (4x-7) + (7y - 1) + 86 = 180 (sum of angles in a triangle)

7y - 1 + 9x + 4 = 180

7y + 9x + 3 = 180

9x + 7y = 177

4x - 7 + 7y - 1 + 86 = 180

4x + 7y - 8 + 86 = 180

4x + 7y + 78 = 180

4x + 7y = 102

Now solve the system of equations

subtract the two equations

9x + 7y = 177

-(4x + 7y) = -(102)

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

5x = 75

x = 15

Substitute the value of x into either equation to find y

4(15) + 7y = 102

60 + 7y = 102

7y = 42

y = 6

Answer:

Acute Triangle :))

Answer:

Step-by-step explanation:

sin30=a/17

a=17sin30

a=8.5 m

3.5 or 7/2 if you need a fraction

Its 20 because, 32 -  9 = 23 and your rounding so its 20

Answer:

r <5 u do 31-6 than divided by 5r

Answer: 2205

Step-by-step explanation:

Ratio of the number of students accepted to the number of students applying for admission = 2:7

Number of students accepted = 630 students

Number of students that applied will then be represented by x. This will be:

2/7 = 630/x

2 × x = 630 × 7

2x = 4410

x = 4410/2

x = 2205

The number of students that applied to the university was 2205

Answer:

1- 3520

2- 3328

3- 30

4- 3432

Step-by-step explanation:

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

Explanation:

To find the prime factorization, we'll start by dividing 180 by the smallest prime number

Divide 180 by 2 to get 180/2 = 90

Divide that by 2 to get 90/2 = 45

Then note how 45/2 = 22.5 isn't a whole number, so that means we move onto the next prime number 3

45/3 = 15

15/3 = 5

The denominators we used, in order, were: 2, 2, 3, 3

This means that 2*2*3*3 is part of the factorization. We can condense that to 2^2*3^2

The last term 5 is the final missing piece of the factor puzzle

Meaning, 2^2*3^2*5 = 180

I recommend you use a calculator to confirm this.

Answer:

60

Step-by-step explanation:

15*4= 60 total

Answer:

Step-by-step explanation:

68°

Answer:

25%

Step-by-step explanation:

1,600/100=.75

100-75=25

16*.25=4

16+4=20

Hope this helps. :)

Answer:

25,390

Step-by-step explanation:

The computation is shown below

Given that

There is a number i.e. 25387

Based on the above information

The given numbers should be written in 4 significant figures

So here the number after considering 4 significant figures is 25,390

Hence, the above represents the answer

Answer:

2x + 3

Step-by-step explanation:

6x + 9 = 3*2 *x + 3*3 = 3*(2x + 3)

[tex]\frac{6x+9}{3}=\frac{3*(2x+3)}{3x}=2x + 3[/tex]

Answer:

2x+3

Step-by-step explanation:

(6x+9)/3                6/3=2, 9/3=3

2x+3

Answer:

angle ABC is 130 degrees

Step-by-step explanation:

This is the quickest and simplest way to gind the answer.

Angle CBD and angle ABC are linear pairs. Linear pairs are supplementary meaning angle CBD and angle ABC equal 180 degrees. Since angle CBD is 50 degrees and you know both angles need to add up to 180 degrees all you need to do is subtract 180 from 50 degrees.

Answer:

Step-by-step explanation:

Answer:

[tex]Probability = \frac{8}{25}[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

Determine the probability of getting a score of 8 - 11 points in the next game

From the attachment, the frequency of the class 8 - 11 is:

[tex]Class\ 8 - 11 = 8[/tex]

Also, from the attachment, the total frequency is:

[tex]Total = 3 + 5 + 8 + 6+2+1[/tex]

[tex]Total = 25[/tex]

The required probability is:

[tex]Probability = \frac{n(8 - 11)}{Total}[/tex]

[tex]Probability = \frac{8}{25}[/tex]

Answer:

A. 12

Step-by-step explanation:

$1,150.89 - $200.13 = $950.76

$950.76 / $79.23 weekly = 12 weeks

To check:

12 weeks x $79.23 = $950.76

$950.76 + $200.13 = $1,150.89

Answer:

40

Step-by-step explanation:

because to find surface area, you need to know this formula: length * width * height.

so, 5 * 1 * 8 is 40

Answer:

x and y = (2,-1)

Step-by-step explanation:

3x + 5y = -11

3x = -1 - 7y

-(-1 - 7y) + 5y = -11

y = -1

3x=-1-7x(-1)

x = 2

(x,y) = (2,-1)

-3x2+5x(-1) = -11

3x2+7x (-1) = -1

-11 = -11

-1 = -1

solution

x and y = (2,-1)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{r^2=96}[/tex]

[tex]\large\text{TAKE the SQUARE ROOT for each terms}[/tex]

[tex]\mathsf{r =\pm \sqrt{96}}[/tex]

[tex]\mathsf{r = 4\sqrt{6}}\\\\\mathsf{r = -4\sqrt{6}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf r = 4\sqrt{6}\ or\ -4\sqrt{6}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

a=2, b=2, c=-12

Step-by-step explanation:

Since it's in factor form, you would first distribute using foil to get [tex]2x^{2} -4x+6x-12[/tex] and then combine like terms when necessary. In this case, the fully simplified version is [tex]2x^{2} +2x-12[/tex]. Therefore your a is 2, b is 2, and c is -12.

Answer:

A

Step-by-step explanation:

A.

at 1.5 seconds

h=-16(1.5)²+30(1.5)+6

=-16×2.25+45+6

=-36+45+6

=15 ft

which is correct.

B.

h=-16(t²-30/16 t)+6

=-16(t²-30/16t+(15/16)²-(15/16)²)+6

=-16(t-15/16)²-16(-225/256)+6

=-16(t-15/16)²+225/16 +6

=-16(t-15/16)²+(225+96)/16

=-16(t-15/16)²+321/16

it is at maximum height when t=15/16 seconds

so B is not true.

C.

when t=15/16 seconds

h=321/16 ft=20 1/16 ft

height of fence=20 ft

so it will clear the fence.

C is not true.

D.

when h=0

-16t²+30t+6=0

8t²-15t-3=0

[tex]t=\frac{15\pm\sqrt{225-4 \times 8 \times (-3)} }{2 \times 8} \\=\frac{15 \pm \sqrt{225+96} }{16} \\=\frac{15\pm \sqrt{321} }{16} \\rejecting~negative~sign\\t=\frac{15+\sqrt{321}}{16} \approx. 2.057 seconds[/tex]

it hits the ground in 2.057 seconds

so D is not true.

Answer:

a=64° alternating angles

b=40° corresponding angles

Answer:

x=1.46875 or x=1.5

Step-by-step explanation:

1st step subtract 1.8 on both sides

-9.6x=-14.1

2nd step divide -9.6 on both sides

x=1.46875

or

x=1.5

Hope this helps!!!

Have a good day!!!

Answer:

251.64 I think it's correct but im not 100% sure