If two legs of a right triangle are 2 inches and 3 inches, can the hypotenuse be 4 inches? Justify your answer.
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Answer:

The value of a is 25

Step-by-step explanation:

When two angles are supplementary, they add up to 180 degrees

Mathematically,

(30 + 2a) + (125-a) = 180

30 + 2a + 125 - a = 180

a + 155 = 180

a = 180-155

a = 25 degrees

Answer: No, because the length of the diagonal is close to 9 feet.

Step-by-step explanation:

Step-by-step explanation:

5p=12h

3p=?(h)

12×3=5h

36=5h

h=36/5

h=7.2 hours

2x^4 + 3x^3 - 5x + 6  ÷ x^2 + 3x - 2

= 2x^6 + 3x^5 − 2x^3 − 2x^2 + 6/ x^2

Question:

Alex skateboards at a constant speed from his house to school 3.8 miles away. It takes him 18 minutes.

a. What fraction represents his constant speed, c?

b. After school, Alex skateboards at the same constant speed to his friend’s house. It takes him 10 minutes.  Write the fraction that represents constant speed, c, if he travels a distance of y.

c. Write the fractions from parts(a) and (b) as a proportion, and solve to find out how many miles Alex’s  friend’s house is from school. Round your answer to the tenths place.

Answer:

(a) [tex]c = \frac{3.8}{18}[/tex]

(b) [tex]c = \frac{y}{10}[/tex]

(c) 2.1 miles

Step-by-step explanation:

Solving (a):

Given

[tex]Distance = 3.8\ miles[/tex]

[tex]Time = 18\ minutes[/tex]

Required

Determine the constant speed, c.

Speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

So, we have:

[tex]c = \frac{3.8}{18}[/tex]

Solving (b):

Given

[tex]Distance = y[/tex]

[tex]Time = 10\ minutes[/tex]

Required

Determine the constant speed, c.

Speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

So, we have:

[tex]c = \frac{y}{10}[/tex]

Solving (c): Write (a) and (b) as proportions and solve for y.

As a proportion, we have

[tex]\frac{y}{10} = \frac{3.8}{18}[/tex]

Multiply both sides by 10

[tex]10 * \frac{y}{10} = 10 * \frac{3.8}{18}[/tex]

[tex]y = 10 * \frac{3.8}{18}[/tex]

[tex]y = \frac{38}{18}[/tex]

[tex]y = 2.11111[/tex]

[tex]y = 2.1\ miles[/tex]  ---- approximated

Answer:

x = 3

Step-by-step explanation:

Jacob has 1/2 of a container of trail mix.

He is filling snack packs that each use about 1/6 of a container

We need to find the number of snack packs can Jacob make. Let he can make x snack packs.

[tex]\dfrac{1}{6}x=\dfrac{1}{2}\\\\x=3[/tex]

Hence, he can make 3 snack packs.

Answer:

X=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer:

its correct bro ;) click next

Answer:

x = 5, y = -1

Step-by-step explanation:

2x+3y=7

4x-5y=25

Keep the second equation the same, but change the first equation so you have something to substitute into.

3y= -2x+7

y= -2/3x + 7/3

substitute into second equ.

4x + 10/3x - 35/3 = 25

put the variables on one side, and the numbers on the other.

22/3x = 110/3

divide by 3

22x = 110

x = 5

Substitute x = 5 into the first equation,

10 + 3y = 7

move numbers to one side, and variables to the other.

3y = -3

y = -1

Answer:

x = 5, y = - 1

Step-by-step explanation:

2x + 3y = 7

4x - 5y = 25

In the second equation, solve for y in terms of x:

4x - 5y = 25

- 5y = 25 - 4x

- y = 5 - 4x/5

y = - 5 + 4x/5  Now substitute this for y in equation 2x + 3y = 7

2x + 3(-5 + 4x/5) = 7

2x - 15 + 12x/5 = 7

10x/5 - 15 + 12x/5 = 7

22x/5 = 7 + 15

22x/5 = 22  Now multiply both sides by 5/22 to isolate :

x = 5

Now substitute this value (x = 5) into 4x - 5y = 25 to solve for y:

4(5) - 5y = 25

20 - 5y = 25

- 5y = 5

y = - 1

You can check that these are correct by substituting x = 5 and y = -1  into the above equations to make sure they check out.

Answer:

They both talk for a different amount of time

Answer:

[tex]36[/tex]

Step-by-step explanation:

Given

[tex]x^2 - 12x = 21[/tex]

Required

Make a perfect square

First, get the coefficient (k) of x

[tex]k = -12[/tex]

Divide by 2

[tex]\frac{k}{2} = \frac{-12}{2}[/tex]

[tex]\frac{k}{2} = -6[/tex]

Square this result:

[tex](\frac{k}{2})^2 = (-6)^2[/tex]

[tex](\frac{k}{2})^2 = 36[/tex]

Hence, 36 when added to the left-hand side makes it a perfect square trinomial

Answer:

[tex]\sqrt\frac{2+\sqrt{2}}{2-\sqrt{2}}[/tex]

Step-by-step explanation:

correct on edge2020

The required exact value of tan(67.5°) is -2 + √(2).

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The exact value of tan(67.5°) can be found using the half-angle identity for the tangent, which states that:

tan(x/2) = (1 - cos(x)) / sin(x)

We can use this identity with x = 135 degrees since 67.5 degrees is half of 135 degrees. So:

tan(67.5°) = tan(135°/2) = (1 - cos(135°)) / sin(135°)

We can then use the following exact values:

cos(135°) = -√(2)/2

sin(135°) = -√(2)/2

Substituting these values, we get:

tan(67.5°) = (1 + √(2)/2) / (-√(2)/2)

Rationalizing the denominator, we get:

tan(67.5°) = -2 + √(2)

Therefore, the exact value of tan(67.5°) is -2 + √(2).

Learn more about trig ratios here:

https://brainly.com/question/14977354

#SPJ6

Answer:

The answer to the question provided is

[tex] - \frac{3}{2} [/tex]

Answer: Yes, it is in the blue shaded area

Step-by-step explanation:

Answer:

x²+11x+28

Step-by-step explanation:

(f - g) (x) = f(x) - g(x)

x² + 12x + 32 - (x + 4) = x² + 11x + 28

Answer:

VA

Step-by-step explanation:

Angle VYA = 180-94-46 = 40 degrees.

Know that the side length opposite the smallest angle has the smallest length.

VY and VA are the two smallest, but 40 < 46, therefore VA is the shortest length.

Short (and not very rigorous) proof:

The law of sines says that sinA/a = sinB/b = sinC/c, where x is the side opposite the angle X

sin46/YV = sin40/VA

sin46 > sin40, therefore YV > VA.

Given that,

An equation : [tex]x^2 + 13x + 30 = 0[/tex]

To find,

The value of x.

Solution,

We have, [tex]x^2 + 13x + 30 = 0[/tex]

We can solve it as follows :

[tex]x^2 + 10x +3x+ 30 = 0\\\\x(x+10)+3(x+10)=0\\\\(x+3)(x+10)=0\\\\(x+3)=0\ \text{and}\ (x+10)=0\\\\x=-3\ \text{and}\ x=-10[/tex]

So, the solution of the given equations are -3 and -10.

Answer:

2.7 miles

Step-by-step explanation:

25 - 10.4 - 4.5 - 7 2/5 will give you 2.7

Answer:

8 miles

Step-by-step explanation:

If we divide 70 by 50, we get the unit rate for the ratio 70 minutes for every 50 miles.

70÷50=1.4

So the runner is running 1.4 minutes per mile. We can multiply this unit rate by the number of miles:

1.4 minutes mile × 5 miles = 7 minutes

Thus it will take her 7 minutes to run 5 miles at this pace.

If it takes her 7 minutes to run 5 miles, it will take her 7÷5 = 1.4 minutes to run 6÷3=2 miles at the same pace.

If it takes her 1.4 minutes to run 5 miles, it will take her 1.4×5=7 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

Answer:

4^9

262144

Step-by-step explanation:

Answer:

2.73

Step-by-step explanation:

You round 6 up to get 2.73

Please give brainliest and thank me if it helped

Answer:

90.6

Step-by-step explanation:

89.7 + 92.6 + 83.9 + 96.2=

362.4

362.4 divided by 4 =

90.6

Answer:

We have to see the circle in order to help you

Answer:

It is because of the microgravity.

Step-by-step explanation:

Bread, Alcohol, Salt, Pepper, Soda, etc. cannot be eaten in space due to lack of gravity and microgravity.

Answer:

x= -10 1/5 or -10.2

Step-by-step explanation:

Answer:

What do you need help with

Step-by-step explanation:

Answer:

Since I am not given an increase number i will solve for numbers 1-5

1 - 25000%

2 - 12500%

3 - 8333.333333333332%     (I recommend you don't use this one)

4 - 6250%

5 - 5000 %

Each number, it will increase by 250% no matter what

Its the same as increasing by 250%

Hope this helps <3

Answer:

reflected over the y axis

Answer:

Step-by-step explanation:

To obtain the strongest mix :

Maria:

2 cups of concentrate ; 5 cups of water

Ratio = 2/5 = 0.4 concentrate per 1 cup of water

Laurie:

3 cups of concentrate ; 7 cups of water

Ratio = 3/7 = 0.4285714 concentrate per 1 cup of water

0.4285714 > 0.4

Hence, Laurie's mix is the strongest as it has higher concentrate per cup of water.