45 yd
24 yd
What is the length of the hypotenuse?

Answer:

b=4.67ft

Step-by-step explanation:                                                                                    The steps are in the picture below.

Answer:

X=55° Y=35°

Step-by-step explanation:

X+Y=90°

Y= x-20

(X-20)+X=90°

2X-20=90°

2X=110°

X=55°

55°+Y=90°

Y=35°

Answer:

5.99/3

Step-by-step explanation:

Teachers usually except this stuff because it is technically correct

Answer:

b > -15

Step-by-step explanation:

4b - 12 - 55 < 9b + 8

Combine terms.

4b - 67 < 9b + 8

Subtract 9b from both sides.

-5b - 67 < 8

Add 67 to both sides.

-5b < 75

Divide both sides by -5. When dividing by a negative, flip the sign.

b > -15.

Answer:

∑j=15(5j−12)

Step-by-step explanation:

For j = 1 up to j = 5

j = 1

(5j - 12) = (5(1) - 12) = 5 - 12 = - 7

j = 2

(5j - 12) = (5(2) - 12) = 10 - 12 = - 2

j = 3

(5j - 12) = (5(3) - 12) = 15 - 12 = 3

j = 4

(5j - 12) = (5(4) - 12) = 20 - 12 = 8

j = 5

(5j - 12) = (5(5) - 12) = 25 - 12 = 13

(-7 + (-2) + 3 + 8 + 13)

Answer:

(5j-12)

Step-by-step explanation:

Other person was right, took the test using the answer they gave.

Answer:

3775 in²

Step-by-step explanation:

The surface area of the ramp :

Area of rectangle = 20 * 23 = 460 in²

Area of rectangle = 20 * 23 = 460 in²

Area of rectangle = 25 * 23 = 575 in²

Bottom rectangle = 60 * 23 = 1380 in²

For the trapezium: (front and rear)

1/2 (base 1 + base 2) * height

Base total = 20+ 20+ 20= 60

1/2(60)*15 = 450 in²

Total surface Area :

(460 + 460 + 575 + 1380 + 450 + 450) in² = 3775 in²

Answer:

its D

Step-by-step explanation:

Answer:

B is 5/8

Step-by-step explanation:

Note: 4/8 = 1/2 and 6/8 = 3/4

Answer:

y = 6

Step-by-step explanation:

5y = 30

5y ÷ 5 = 30 ÷ 5

y = 6

Answer:

C

Step-by-step explanation:

Answer:

is C

Step-by-step explanation:

A pex i took the test

give brainlist if feeling nice

Answer:

immma send you the link friend me on here Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

(10)(18) = 12x

x = 15

Answer:

Option A

Step-by-step explanation:

By using the definition of an exterior angle of a triangle,

"Measure of the exterior angle of a triangle is equal to the sum of measures of the opposite interior angles"

m∠STP = m∠SWT + m∠STW

Substitute the measures of the angles from the picture attached,

15x = (7x + 1) + (7x + 6)

15x = (7x + 7x) + (1 + 6)

15x = 14x + 7

15x - 14x = 7

x = 7

Therefore, Option A will be the correct option.

Answer: Exact Form: x = 7/2

Decimal Form: x = 3.5

Mixed Number Form: x = 3 1/2

How to: Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Have a great day and stay safe !

Answer:39%

Step-by-step explanation:

Answer:

Angle X= 44.99 degrees or 45 if rounded to the ones place.

Step-by-step explanation:

Photo Attached, used SOH CAH TOA method.

Answer:

Option 3 - This data set has no outliers.

Step-by-step explanation:

Given : The data {70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}  

To find : Which statement is true about this data set?

Solution :

The statements is all about outlier.

So, we find the outlier of the data.

Step 1- Arranging the data from lowest to highest,

{65,66,66,67,68,70,71,72,78,78,80}  

Step 2 - Find the median of the data  

As the data is odd numbers so the median is  th term.

term.

6th term is 70 ⇒ Median =70

Step 3 - To find Upper quartile and lower quartile  

Lower quartile data set is the median of the upper terms from median

{65,66,66,67,68}

Median of the set is 66

∴    

Upper quartile data set is the median of the lower terms from median

{71,72,78,78,80}

Median of the set is 78  

∴    

Step 4 - To find the interquartile range.

Step 5 - To find the fences for the data set.  

The formula to find range is  

Substitute the values, we get

The range in which data lies is [48,96]

We have seen that all the data lie inside the range.

Therefore, This data set has no outliers.

Hence, Option 3 is correct.

pls give me brainlist

Step-by-step explanation:

Given :-

And we need to solve the equation using Substituting method . So on taking the first equation ,

[tex]\rm\implies x + 3y = 3 \\\\\rm\implies x = 3 - 3y [/tex]

Put this value in (ii) :-

[tex]\rm\implies 3y - 2x = 12 \\\\\rm\implies 3y - 2(3-3y)=12\\\\\rm\implies 3y -6-6y = 12 \\\\\rm\implies -3y = 18 \\\\\rm\implies y = -6 [/tex]

Put this Value in (I) :-

[tex]\\\\\rm\implies x = 3-3*-6 \\\\\rm\implies x = 3+18 \\\\\rm\implies x = 21 [/tex]

Hence the Value of x is 21 and y is (-6) .

Answer:

x = -3

y = 2

Step-by-step explanation:

Ok this is a long one but bear with me lol, i promise i will make it easy to understand, performing one step at a time.

So we are given 2 equations right? We can take any of these one equation and isolate any one variable, either x or y, I will take the first equation and isolate x from it cuz it's the easiest way;

=> x + 3y = 3

=> x = -3y + 3 (Let's pretend this is not an equation for x but a "value")

Now that we have the x isolated from first equation, we can substitute x "value" in for the x in second equation. To solve for y;

=> 3y - 2 (-3y + 3) = 12

=> 3y + 6y - 6 = 12

=> 9y - 6 = 12

=> 9y = 12 + 6

=> 9y = 18

=> y = 18/9

=> y = 2

At this point we are almost done with the question! So since we got a real value for one of our variable (which in this case is y-value), we can substitute that in any of the given equation, We can also use the equation where in we isolated "x", so I'll use that cuz it's gonna require less steps, to find the real x-value:

=> The equation we found out up there is: x = -3y + 3

=> Now just simply substitute the y-value we figured in the equation above:

=> x = -3y + 3

=> x = -3(2) + 3

=> x = -6 + 3

=> x = -3

Ayee we did it lol so the final answer would be:

x = -3

y = 2

I really hope this made sense, and that it helps!

Answer:

None of the listed answers are correct.

cos16º = 24/25

Step-by-step explanation:

cos∅ = adj/hyp

adj = 24

hyp = 25

cos 16º = 24/25

[tex]\sqrt{4^{2}+7^{2}}=\sqrt{16+49}=\boxed{\sqrt{65}}[/tex]

Answer:

3282 m^2

Step-by-step explanation:

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

r = (450,000 x (3/2) x(1/3.14)) ^1/3

r = 45.72

Area of a semicircle = 1/2 x n x r^2

1/2 x 45.72^2 x 3.14 = 3282 m^2

Answer:

h=8

Step-by-step explanation:

a²+b²=c²

a=A

b=12

c=13

therefore substitute

A²+(12)²=(13)²

A²=13²-12²

A²=25

A=5

h=3+A

h=3+5

h=8

Answer:

8 ft

Step-by-step explanation:

since it is a right angled triangle and you have 2 side lengths, we use the pythagoras theorem here.

a² + b² = c²

the c² is always your hypotenuse (longest side of the triangle, also opposite to the right angles)

*the b and a doesnt matter which order you put it in*

so; (sub in the numbers to the formula)

a² + 12² = 13²

(rearrange - like terms together)

a² = 13² - 12²

(calculate it)

a² = 25

(simplify it - get rid of the ² on the a)

a = √25

(solve)

a = 5

so, we know that a = 5 and we know that we have an additional 3

5 + 3 = 8

Answer:

(0-8)

Step-by-step explanation:

the z represents a unknown number.=, and because it equals y it starts at 0. so (0-8)

Answer:

p = -2

Step-by-step explanation:

Start by dividing both sides by 81 to get the power by itself.

[tex]3^p \cdot 81 = 9\\\\3^p=\frac{9}{81}=\frac{1}{9}[/tex]

Write the fraction using a power of 3.

[tex]3^p=\frac{1}{3^2}\\\\3^p=3^{-2}\\\\p=-2[/tex]

This assumes you know about negative exponents:  [tex]a^{-n}=\frac{1}{a^n}[/tex]

Answer:

?

Step-by-step explanation:

Answer:

(4, 11) is one ordered pair  and (-4, 27) is the other ordered pair

Step-by-step explanation:

(1)  f(x) = x^2 - 2x + 3             (2)    f(x) = -2x + 19

-2x + 19 = x^2 - 2x + 3

x^2 - 16 = 0

(x - 4)(x + 4) = 0

x = 4   or    x = -4                                  -2(4) + 19 = 11

                                                             -2(-4) + 19 = 27

So, when x = 4, y = 11                   and when x = -4, y = 27

(4, 11) is one ordered pair              and (-4, 27) is the other ordered pair