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Answer:

L 1= 18 , W 1= 14 , A 1=252

Step-by-step explanation:

(L 36\2=18)

(W 28\2=14)

(A 1,008\4=252)

Step-by-step explanation:

Y=kx+b

If m=1/k

Y=-5/3x+b

I don't know what your m means

So I can only write like this.

Answer:

1. 60°

2. The sum of angles of a triangle is 180°. Since it's an equilateral, all 3 angles are the same.

180 ÷ 3 = 60°

Answer:

C. 32 3/8

Step-by-step explanation:

First, divide the fraction and the 4 into two equations. This makes 7 x 4 and 7 x 5/8. Then multiply both to get 28 and 35/8. Then convert 35/8 into a mixed number to get 4 3/8. Then add 28 + 4 3/8 to get 32 3/8.

Answer:

it would be choice 3

3⅜

Step-by-step explanation:

hope it helps you :)

Answer:

c=18

Step-by-step explanation:

The measure of the sides, of the square, is  3√2 units

The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Given is a square, with diagonal of 6 units we need to find the measure of the sides, of the square,

By the definition of the Pythagoras theorem,

s² + s² = 6²

2s² = 36

s² = 18

s = 3√2

Therefore, we get s = 3√2

Hence, the measure of the sides, of the square, is  3√2 units

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The complete question is attached

Answer:

60°

Step-by-step explanation:

180 - 33 - 187 = 60

Answer:

[tex]x=60\\y=120[/tex]

Step-by-step explanation:

A triangle is always 180 degrees...

Form an equation to solve:

[tex]x+33+87=180[/tex]

[tex]x+120=180[/tex]

[tex]x=180-120[/tex]

[tex]x=60[/tex]

To find y:

(Angles on straight line = 180)

[tex]y=180-x[/tex]

(replace x with 60)

[tex]y=180-60[/tex]

[tex]y=120[/tex]

hope this help :)

Refer to the attachment...

Since the line is parallel to the given equation , slope of required line = slope of the given equation of line

slope = -1/2

Answer:

[tex]x = 56[/tex]

Step-by-step explanation:

Use tangent function.

[tex] \tan(x) = \frac{18}{12} [/tex]

Take the arctan

[tex] \tan {}^{ - 1} ( \frac{18}{12} ) [/tex]

which is about

0.98279372.

Convert from radians to degrees in you will get

56 degrees.

Answer:

Step-by-step explanation:

You can solve this by using trigonometry and the formula SOH CAH TOA. You're looking for an angle that is adjacent (next to) 12, and opposite 18. Therefore, you will needed to use TOA, which stands for tangent = opposite/adjacent.

With substitution, this gives you tangent  = 18/12. 18/12 is equal to 1.5. Because we are looking for an angle we need to use the tan^-1 (tan to the power of -1) button on our calculator. Tan(1.5)^-1 equals 56.31 to 2dp.

Hope this helps!

Answer:

all real values

Step-by-step explanation:

there is no value for x, where the operations in f(x) would run into an undefined or outright invalid situation. whatever x we can think of, f(x) will calculate a valid y.

Answer:

R = 17

Step-by-step explanation:

R = 2q - 5

Q = 3p + 2

Find the numerical value of R when p = 3

R = 2q - 5

R = 2(3p + 2) - 5

R = 6p + 4 - 5

R = 6p - 1

When p = 3

R = 6(3) - 1

R = 18 - 1

R = 17

Answer:

area = 2.28

Step-by-step explanation:

area of triangle is 1/2*b*h

area = (1/2)*3.8*1.2

area = 2.28

Answer:

2.28

Step-by-step explanation:

Area of triangle =(base*height)/2

And base=1.2 cm

Height=38 mm ( change it to cm as they need the answer in square cm) which is 3.8 cm

So (1.2*3.8)/2=2.28

Answer:

2*(5x+4) + 2*(3x+2)

= 10x + 8 + 6x + 2

= 16x + 10

The perimeter of the rectangle, in feet, is represented by (16x + 10)

Answer:

(16x + 12) ft

Step-by-step explanation:

Perimeter of the rectangle = 5x + 4 + 3x + 2 + 5x + 4 + 3x + 2

Perimeter of the rectangle = (16x + 12) ft

Answer:

y = 38

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Consider the angles in the large outer triangle, then

x + 46 + 78 = 180

x + 124 = 180 ( subtract 124 from both sides )

x = 56

Consider the 3 angles in the smaller inner triangle, then

y + x + 86 = 180 , that is

y + 56 + 86 = 180

y + 142 = 180 ( subtract 142 from both sides )

y = 38

Answer:

25 feet per second.

Step-by-step explanation:

Let s represent the speed of the water and r represent the radius of the whirlpool.

The speed in a whirlpool varies inversely with the radius. Therefore, we can write that:

[tex]\displaystyle s=\frac{k}{r}[/tex]

Where k is the constant of variation.

We know that the speed is 2.5 feet per second when the radius is 30 feet.

So, s = 2.5 when r = 30. Substitute:

[tex]\displaystyle 2.5=\frac{k}{30}[/tex]

Solve for k:

[tex]k=30(2.5)=75[/tex]

So, our equation is:

[tex]\displaystyle s=\frac{75}{r}[/tex]

Then when the radius is three feet, r = 3. Evaluate for s:

[tex]\displaystyle s=\frac{75}{(3)}=25\text{ feet per second}[/tex]

So, the speed of the water in a whirlpool with a radius of three feet is 25 feet per second.

Answer: $775.50

explanation: I just looked it up and another website had the same question but also had the answer

Answer:

3

Step-by-step explanation:

2h+5=11

2h=11-5

2h=6

Both side divided by 2

h=6

Answer:

h = 3

Step-by-step explanation:

2h + 5 = 11

2h + 5 - 5 = 11 - 5

2h = 6

2h ÷ 2 = 6 ÷ 2

h = 3

Answer:

B

Step-by-step explanation:

because it is still a negative because a negative divided by a positive is still negative.

But 2 negatives turn positive so it is B

Answer:

2

Step-by-step explanation:

2(z)+2 = 4

2z = 2 x 2 = 4

To determine which relation is a function, we need to check if each input value (x) corresponds to a unique output value (y). If there is any repetition in the x-values, then it is not a function. in option (0, 0), (1, 1), (2, 2), (3, 3), (4,7) no repetition x-values so c is correct.

Let's analyze each option:

A. (8,-4), (8,4), (6,-3), (6,3), (0, 0)

In this relation, we can see that both 8 and 6 have repeated as x-values. Therefore, option A is not a function.

B. (4, 7), (8,5), (6,4), (5, 3), (4, 2)

Again, we notice that 4 appears twice as an x-value. Hence, option B is not a function.

C. (0, 0), (1, 1), (2, 2), (3, 3), (4,7)

Here, each x-value is unique. No repetition is observed. Therefore, option C represents a function.

D. (0, 0). (1, 0), (1, 1), (2, 1), (1, 2)

In this relation, the x-value of 1 appears three times. Consequently, option D is not a function.

To summarize, option C is the only relation that represents a function since it has distinct x-values corresponding to unique y-values.

Option C is correct answer

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Given:

A number when divided by 780 gives remainder 38.

To find:

The reminder that would be obtained by dividing same number by 26.

Solution:

According to Euclis' division algorithm,

[tex]a=bq+r[/tex]                ...(i)

Where, q is quotient and [tex]0\leq r<1[/tex] is the remainder.

It is given that a number when divided by 780 gives remainder 38.

Substituting [tex]b=780,\ r=38[/tex] in (i), we get

[tex]a=(780)q+38[/tex]

So, given number is in the form of [tex]780q+38[/tex], where q is an integer.

On dividing [tex]780q+38[/tex] by 26, we get

[tex]\dfrac{780q+38}{26}=\dfrac{780q}{26}+\dfrac{38}{26}[/tex]

[tex]\dfrac{780q+38}{26}=30q+\dfrac{26+12}{26}[/tex]

[tex]\dfrac{780q+38}{26}=30q+\dfrac{26}{26}+\dfrac{12}{26}[/tex]

[tex]\dfrac{780q+38}{26}=30q+1+\dfrac{12}{26}[/tex]

Since q is an integer, therefore (30q+1) is also an integer but [tex]\dfrac{12}{26}[/tex] is not an integer. Here 26 is divisor and 12 is remainder.

Therefore, the required remainder is 12.

Answer:

10

966

X

24°

O x = 100

O x = 96

X = 120

O x = 24

Answer:

9 and 11

Step-by-step explanation:

Answer:

y = 3x -5

Step-by-step explanation:

Use the slope-intercept form:

y = (slope)x + intercept

slope = 3

intercept = -5

Equation in slope-intercept form:

y = 3x -5

Answer:

1.18 kilometers

Step-by-step explanation:

The middle school is 2.72 kilometers from Marshal house

The school is also 1.54 kilometers away from Ryan house

Therefore the distance of Marshal house from the school can be calculated as follows

= 2.72-1.54

= 1.18 kilometers

Answer:

no

Step-by-step explanation:

A circle will fail the vertical line test, which means a vertical lines intersects two or more points.  If it fails the vertical line test, it is not a function  

[tex] \huge \mathrm {➢ \: \: \: \: Answer }[/tex]

The above figure consists of three different shapes, that is :

Let's solve for surface area of whole figure :

1. Curved surface area of hemisphere : -

[tex] \large \boxed{ \boxed{2\pi {r }^{2} }}[/tex]

[tex]➢ \: \: 2 \times 3.14 \times 4 \times 4[/tex]

[tex]➢ \: \: 100.48 \: m {}^{2} [/tex]

2. lateral surface area of Cylinder : -

[tex] \large \boxed {\boxed{2\pi rh}}[/tex]

[tex]➢ \: \: 2 \times 3.14 \times 4 \times 10[/tex]

[tex]➢ \: \: 251.2 \: { m}^{2} [/tex]

3. curved surface area of cone :

[tex]slant \: height = \sqrt{4 {}^{2} + 3 {}^{2} } [/tex]

(by Pythagoras theorem)

[tex] \large \boxed { \boxed{c.s.a = \pi rl}}[/tex]

[tex]➢ \: \: 3.14 \times 4 \times 5[/tex]

[tex]62.8 \: m {}^{2} [/tex]

Surface area of the figure :

[tex]➢ \: \: 100.48 + 251.2 + 62.8[/tex]

[tex]➢ \: \: 414.48 \: \: m {}^{2} [/tex]

[tex]➢ \: \: 414.5 \: m {}^{2} \: \: \: (approx)[/tex]

Now, let's solve for volume :

Volume of given figure will be combined volume of the all three shapes,

1. Volume of hemisphere :

[tex] \boxed{ \boxed{\dfrac{2}{3} \pi {r}^{3} }}[/tex]

[tex]➢ \: \: \dfrac{2}{3} \times 3.14 \times 4 \times 4 \times 4[/tex]

[tex]➢ \: \: 133.97 \: \: { m}^{3} [/tex]

2. Volume of Cylinder :

[tex] \large\boxed{ \boxed{ \pi{r}^{2}h }}[/tex]

[tex]➢ \: \: 3.14 \times 4 \times 4 \times 10[/tex]

[tex]➢ \: \: 502.4 \: m {}^{3} [/tex]

3. Volume of cone :

[tex] \large \boxed {\boxed{ \frac{1}{3} \pi {r}^{2}h' }}[/tex]

[tex]➢ \: \: \dfrac{1}{ 3} \times 3.14 \times 4 \times 4 \times 3[/tex]

[tex]➢ \: \: 50.24 \: {m}^{3} [/tex]

The total volume of the given figure :

[tex]➢ \: \: 133.97 + 502.4 + 50.24[/tex]

[tex]➢ \: \: 686.61 \: {m}^{3} [/tex]

or

[tex]➢ \: \: 686.6 \: \: m {}^{3} \: \: \: (approx)[/tex]

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

sf and st

Step-by-step explanation:

Answer:

y=9.25

Step-by-step explanation:

5x+2y=20

5(.3)+2y=20

1.5+2y=20

2y=20-1.5

2y=18.5

y=18.5/2

y=9.25