The hypotenuse of a right triangle is 52 in. One leg of the triangle is 8 in. more than twice the length of the other. What is the perimeter of the triangle?
20 in.
26 in.
120 in.
138 in.

Answer:

The slope is -3/4 and a point on the line is (-5,4)

Step-by-step explanation:

This equation is in point slope form

y -y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

Y-4=-3/4(x+5)

Y-4=-3/4(x -  -5)

The slope is -3/4 and a point on the line is (-5,4)

Answer:

D. Closed circle on 8, shading to the right.

Answer:  70  and -16

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Explanation:

For now, we'll assume x is the largest value (aka the max)

Let's sort the values from smallest to largest.

7, 20, 26, 27, 34, 41, 47, x

We see that 7 is the smallest item, so,

range = max - min = x - 7

Set this equal to 63 and solve for x

x-7 = 63

x = 63+7

x = 70

So x could be equal to 70.

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

Next, we'll assume that x is the smallest value

That means the min is x and 47 is now the max

max - min = range

47 - x = 63

-x = 63-47

-x = 16

x = -16

So if x is the smallest value, then it must be -16

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

Finally, we'll let x be somewhere between 7 and 47

Unfortunately, we can't pin down a specific value here since we could have lots of possible values. Three such examples are x = 8, x = 9, and x = 10. There are many others.

If your teacher is looking for 2 values only, then I would refer to the previous two sections and ignore this section entirely.

3c+  2=  -22

⇔3c = -22 -2

⇔3c = -24

⇔c=  -24/3

⇔c=- 8

Answer:

3c= -22-2

3c= -24

c= -24/3

c= -8

Step-by-step explanation:

Answer:

B) 9

Step-by-step explanation:

Because there's a square between the 2 angles, that means these angles are complementary (angles that add up to 90°). So:

5x - 9 + 6x = 90

11x - 9 = 90

11x = 90 + 9

11x = 99

x = 9

Answer:

B.9

Step-by-step explanation:

The way to solve this is by noticing that these angles are complementary(they add up to 90 degrees). So you add the equations together and equal them to 90. 5x-9+6x=90.Then you solve to find that x=9.

Answer:

m = (y2 - y1) / (x2 - x1) = (10 - 6) / (3 - 1) = 2    slope of line

y = m x + b standard form of straight line

y = 2 x + b      where b is the intercept at x = 0

b = y - 2 x

b = 6 - 2 = 4    from our first equation

Also, b = 10 - 6 = 4       check from second equation

y = 2 x + 4    is our equation

Check if y = 6 and x = 1 then

y = 2 * 1  + 4 = 6   verifying the first point given

Answer:

j=|x|

Step-by-step explanation:

Answer:

Another example of a number who's square root is greater than the number is  [tex]\sqrt{0.49}[/tex] which is 0.7

Step-by-step explanation:

This square root is larger than the number because it is a decimal. When you multiply a decimal by a decimal, the decimal point becomes greater. For example: 0.7 multiplied by 0.7 equals 0.49 which has 2 decimal places, while 0.7 only has one.

Answer:

[tex]x1 = - 4.525[/tex]

[tex]x2 = 5.525[/tex]

Step-by-step explanation:

[tex]x1 = \frac{1 - \sqrt{101} }{2} [/tex]

[tex]x2 = \frac{1 + \sqrt{101} }{2} [/tex]

Answer:

90n-72=0

Step-by-step explanation:

18×5n-18×4=0

Answer:

x:-4,-3,-2,-1,0,1

f(x):-10,0,0,-4,-6,0

from the table we can see when x=0, y=-6

Therefore the y-intercept will be (0,-6)

OAmalOHopeO

The y intercept of the continuous function in the table is given by the relation f ( 0 ) = -6

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Let the values of x be x = { -4 , -3 , -2 , -1 , 0 }

Let the values of y be y = { -10 , 0 , 0 , -4 , -6 }

Now , the y intercept of the function is when the value of x = 0

So , when x = 0 , the value of y = -6

And , f ( 0 ) = -6

Therefore , the y intercept is ( 0 , -6 )

Hence , the y intercept of the function is ( 0 , -6 )

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Answer:

700 parts

Step-by-step explanation:

To find the total amount of parts in the shipment, all we need to do is divide.

6% = 0.06

42 / 0.06 = 700

Best of Luck!

Answer:

350.85

Step-by-step explanation:

90.6*2 = 181.2

27*2 = 54 (diameter)

54*pi = 169.646003294

169.646003294 + 181.2 = 350.846003294

350.846003294 = 350.85

Answer:

Step-by-step explanation:

Use this formula:

[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount after the compounding is done, P is the initial investment (our unknown), r is the interest rate in decimal form, n is the number of compoundings per year, and t is the time in years. Filling in:

[tex]520=P(1+\frac{.03}{12})^{(12)(3)}[/tex] and simplifying that a bit:

[tex]520=P(1+.0025)^{36[/tex] and a bit more:

[tex]520=P(1.0025)^{36[/tex] and even  bit more:

520 = P(1.094551401) and divide to get

P = $475.30

Answer:

Option B

<F = 26°

<D = 64.01°

FD = 89

Answered by GAUTHMATH

For right triangle EFD,  m ∠F ≈ 26°, m ∠D ≈ 64.01° and FD = 89

The correct answer is an option (B)

It is the longest side of the right triangle.

For a right triangle,

[tex]a^{2}+ b^{2} = c^{2}[/tex], where c is hypotenuse and a, b area other two sides of the right triangle

For given example,

We have been given a right triangle EFD with hypotenuse FD.

Also, EF = 80, ED = 39

Using the Pythagoras theorem,

[tex]\Rightarrow FD^{2}= EF^{2} + ED^{2}\\\\ \Rightarrow FD^{2}= 80^{2} + 39^{2}\\\\ \Rightarrow FD^2 = 6400 + 1521\\\\ \Rightarrow FD^2 = 7921\\\\\Rightarrow FD = 89[/tex]

Consider, sin(F)

[tex]\Rightarrow sin(F)=\frac{ED}{FD} \\\\\Rightarrow sin(F)=\frac{39}{89}\\\\ \Rightarrow sin(F)=0.4382\\\\\Rightarrow \angle F=sin^{-1}(0.4382)\\\\\Rightarrow \angle F=25.98^{\circ}\\\\\Rightarrow \angle F\approx 26^{\circ}[/tex]

Now, consider sin(D)

[tex]\Rightarrow sin(D)=\frac{FE}{FD}\\\\ \Rightarrow sin(D)=\frac{80}{89}\\\\ \Rightarrow \angle D = sin^{-1}(0.8988)\\\\\Rightarrow \angle D = 64.009^{\circ}\\\\\Rightarrow \angle D \approx 64.01^{\circ}[/tex]

Therefore, for right triangle EFD,  m ∠F ≈ 26°, m ∠D ≈ 64.01° and FD = 89

The correct answer is an option (B)

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Answer:

just add a small amount to the 2.8 and square the result

Step-by-step explanation:

x x^2

2.8 7.84

2.81 7.8961

2.82 7.9524

2.83 8.0089

2.84 8.0656

2.85 8.1225

2.86 8.1796

2.87 8.2369

Answer:

hope this helps you

have a great day

Answer:

60

Step-by-step explanation:

Step 1:

3 x 5 = 15

Step 2:

15 x 4 = 60

Answer:

well 3. x 5 is 15, then multiply by 4 to get 60.

Step-by-step explanation:

Answer:

missing angle <60 and side lengths 5, 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

we understand from the given information that  the triangle in question is a special right triangle

and since this is a special triangle the side lengths follows :

the side length that sees <90 is represented by 2x

the side length that sees <60 is represented by x[tex]\sqrt{3}[/tex]

and the side length that sees <30 is represented by x

2x = 10 so x = 5 and  x[tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]

Answer:

x = 10

The both line crosses with a little hyphen, meaning those are same

Answered by GAUTHMATH

Answer:

Option (B).

Step-by-step explanation:

Here there are two parallel lines c and d cuts by a transversal p.

The angles are formed as shown in diagram.

Here,

[tex]\angle 1 = \angle 7 (alternate)\\\\\angle 2 = \angle 6 (corresponding)\\\\\angle 3 = \angle 5 (alternate)\\\\\angle 5 = \angle 7 (alternate)[/tex]

So, the option (B) is correct.

Answer:

The speed is 20.8  m/s

Step-by-step explanation:

If a projectile ascends vertically, and after 3 seconds it reaches its maximum height, calculate the velocity that it carries to the middle of its downward trajectory

Let the maximum height is h and initial velocity is u.

From first equation of motion

v = u + at

0 = u - g x 3

u = 3 g.....(1)

Use third equation of motion

[tex]v^2 = u^2 - 2 gh \\\\0 = 9 g^2 - 2 gh \\\\h = 4.5 g[/tex]

Let the speed at half the height is v'.

[tex]v^2 = u^2 + 2 gh \\\\v'^2 = 0 + 2 g\times 2.25 g\\\\v'^2 = 4.5\times 9.8\times9.8\\\\v' = 20.8 m/s[/tex]

Answer:

v =  14 km/h

Step-by-step explanation:

d = 0.0067[tex]v^{2}[/tex] + 0.15v

differentiate the function with respect to v to have;

d = 0.0134v - 0.15

given that the distance without skidding = 37 m (0.037 km) , then;

0.037 = 0.0134v - 0.15

0.0134v = 0.037 + 0.15

             = 0.187

v = [tex]\frac{0.187}{0.0134}[/tex]

  = 13.9552

v =  14 km/h

The speed of the car travelling would be 14 km/h to be able to stop within 37m.

Answer:

⊥

Step-by-step explanation:

d and b meet at a 90 degree angle ( as shown by the box)

The lines are perpendicular (⊥)

Answer:

1 7/12 acres of land

Step-by-step explanation:

Tomatoes = 1/3 acre of land

Corn = 3/4 acre of land

Carrots = 1/2 acre of land

Total acres of land he planted = tomatoes + corn + carrots

= 1/3 + 3/4 + 1/2

= (4+9+6) / 12

= 19/12 acres

= 1 7/12 acres of land

Or

= 1.5833333333333 acres

Total acres of land he planted = 1 7/12 acres of land

None of the given options is correct

Respuesta:

El cálculo no está bien hecho.

el cociente es 13

El resto es 29

Explicación paso a paso:

Dividendo = 445

Divisor = 32

Cociente = 14

Resto = 7

445/32 = 13,90625

El cociente = 13

Resto = (13.90625 - 13) * 32

Resto = 0.90625 * 32

Resto = 29

Por lo tanto, el cálculo no se realiza correctamente ya que el cociente es 13 y el resto es 29

Answer:

[tex]\frac{1}{x} =\frac{1}{3\sqrt{8} } =\frac{1(\sqrt{8})}{3\sqrt{8}(\sqrt{8})} =\frac{\sqrt{8}}{3*8} =\frac{\sqrt{8}}{24} =\frac{\sqrt{(2)(2)(2)}}{24}=\frac{2\sqrt{2} }{2(12)} =\frac{\sqrt{2} }{12}[/tex]