One of the legs of a right triangle measures 12 cm and the other leg measures 16 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answer:

45°

Step-by-step explanation:

The angles should add to 180°. so we can say 2x+45+x=180

3x+45=180

3x=135

X=45°

Answer:

x = 45°

Step-by-step explanation:

The sum of both angles should add up to 180°, because they are supplementary. Supplementary angles is just another way of saying two angles on a straight line. In order to find the value of x:

Given |

[tex]2x + 45 + x = 180[/tex]

2x + x

Combine like-terms. |

[tex]3x + 45 = 180[/tex]

180 - 45

Subtraction Property of Equality. |

[tex]3x = 135[/tex]

135 / 3

Division Property of Equality. |

[tex]x = 45[/tex]

Answer:

approximately 1,925,000

Step-by-step explanation:

700,000 * 0.07 = 49,000    this would be the growing rate per year.

49,000 * 1,225,000    this would be the population grown in 25 years.

700,000 + 1,225,000 = 1,925000    this would be the total population that was in the city and the population that has grown in the 25 years.

Hope this helps

Answer:

The system of equations is:

x + y = 250                         (1)

7.25x + 5.50y = 1602.50   (2)

with x = Adult tickets

       y= student tickets

Solution

Let's equation (1)

x+y=250

x=250-y (a)

subtitute x in aquation (2)

7.25(250 - y) + 5.50y=1602.50

1812.50 - 7.25y + 5.50y= 1602.50

1812.50 -1.75y = 1602.50

-1.75y = 1602.50 - 1812.50

-1.75y = -210 ↔multiply both sides by (-1) to remove the minus sign

y= 210/1.75

y= 120

Substitute y in equation (1)

x + 120 = 250

x= 250 - 120

x =130

Let's check our results in equation (1)

x + y =250

120 + 130= 250 ↔ 250 = 250

At the end of the evening they 120 students tickets and 130 adults tickets

Step-by-step explanation:

You can check the results in any of the equations

Answer:

1.6.7*520=3484

Step-by-step explanation:

( I).67*0.52

convert that 0.52 to proper fraction

67×13/25=871/25

which is=34.84

(III). 3484/5.2

convert 5.2 to improper fraction ❤️

=52/10=26/5

3484/26/5=3484×5/26=670

Answer:

56 units

Step-by-step explanation:

Let us start by the formula of the area of a triangle, [tex]\frac{b*h}{2}=A[/tex]. A represents the area of the triangle, b represents the base of the triangle, and h represents the height of the triangle.

In this case, we can pretty clearly tell that h represents the height of the triangle and x represents the base of the triangle. We are also given that x=14 units and h = 8 units. Lets plug our values into the equation!

[tex]A=\frac{h*x}{2} \\A=\frac{14*8}{2} \\A=\frac{112}{2} \\A=56[/tex]

Therefore, the area of the triangle is 56 units.

I hope this helps! Please let me know if you have any questions :)

Answer:

here u go

Step-by-step explanation:

what i did was 15*7 which is 105

and then i did 105/2 which is 52.5 ft

Answer:

V = 1237 cubic feet

Step-by-step explanation:

V of cylinder = πr^2h

r = 7.5 ft (15/2)

h = 7 ft

v = ((7.5)^2)π*7 = 1237.002107 cubic feet

Answer:

[tex]y=8x, \\y=12x[/tex]

Step-by-step explanation:

Proportional functions can be written as [tex]y=kx[/tex], where [tex]k[/tex] is some constant of proportional. Since directly proportional functions always pass through the origin, the y-intercept must be 0 (no additional number before or after [tex]x[/tex] term). The only answers that fit this format are:

[tex]\rightarrow \boxed{y=8x}\\\rightarrow \boxed{y=12x}[/tex]

Answer: Y=8x

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

You plug the value of -3 into where the x is {-(-3)^2} + 6, resulting in -3.

Answer: dont listen to the answer above

Step-by-step and you'll fall down the shdausta and tyou get deleminate dby the stairs and bu the fat cat in cthe chaet

Answer:

x = {-5, 2}

Step-by-step explanation:

unfamiliar with the notation 7;2

will solve for |2x + 3| = 7

Solution I -  the quanity inside the absolute value is 7

2x + 3 = 7

2x = 4

x = 2

Solution II -  the quanity inside the absolute value is –7

2x + 3 = –7

2x = -10

x = -5

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

x = {-5, 2}

Answer:

6y

Step-by-step explanation:

The two figure are squares with the same area

side = √area = √y^2 = y (with y>0 because a length can‘t be negative)

perimeter = side * 6 = y * 6 = 6y

Answer:

The shape is translated four units left, and 2 units up, therefore the answer would be x=-4 and y=+2

Answer:

P= (1,-1)= P'= (-3,1)

T=(4,-1)=T'= (0,1)

R=(5,1)=R'= (1,3)

A= (5,3)=A'= (1,5)

So you would move the points 4 units across (left) and 2 units up (2,-4)

I would think your answer is right, it would be the second choice. Its just a little hard to determine because you would use the method of moving the point but to double check you would use one of the points, for example (1,-1) you would do 1+2-4 to see if you would get -3 and do the same with -1, -1+2-4. I hoped this helped!

Answer:

78 x 160 /100

= 124.8

12 x 325/100

= 39

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

3 x 2=6

6 - 2= 4

Answer:

y = 4

Step-by-step explanation:

Equation: y = 3x - 2

Plug in x = 2

New equation: y = 3(2) - 2

Simplify: y = 6 - 2 --> y = 4

Answer: y = 4

Answer:

Tina worked [tex]3 \frac{5}{6}[/tex] hours on Friday.

Step-by-step explanation:

To solve for how many hours Tina worked on Friday you have to add up all the hours worked then subtract that from 15 hours to get the remainder.

Step 1 : Add up all the hours worked so far.

[tex]3\frac{1}{2}[/tex] + 4 + [tex]2\frac{1}{6}[/tex]  + [tex]1\frac{1}{2}[/tex] = ?

We need to turn these mixed numbers into improper fractions first so we can add. Let's turn them all into sixths.

[tex]3 \frac{3}{6}[/tex] + 4 + [tex]2\frac{1}{6}[/tex] + [tex]1 \frac{3}{6}[/tex] = [tex]11\frac{1}{6}[/tex]

Allright, so now we know that Tina already worked 11 and 1/6 hours already, so we subtract that from 15 to find how many hours she worked on Friday.

Step 2 : Subtract [tex]11\frac{1}{6}[/tex] from 15.

15 - [tex]11\frac{1}{6}[/tex] = [tex]3 \frac{5}{6}[/tex]

Therefore Tina worked [tex]3 \frac{5}{6}[/tex] hours on Friday.

Hope this helps, please mark brainliest if possible. Have a great day.

Answer:

64cm² I think :) if u get it wrong dont blame it on me.

Answer:

64 cm^2

Step-by-step explanation:

The area of a square can be calculated by A = s^2 (Area = side squared aka the side multiplied by itself)

A = s^2

= 8^2 (8 x 8)

= 64 cm^2

Answer:

[tex]y = 12.25[/tex]

Step-by-step explanation:

Area of parallelogram = [tex]49 {cm}^{2} [/tex]

∴ Side of Parallelogram = [tex]s = \frac{perimeter}{4} [/tex]

[tex]∴ \: s = y[/tex]

[tex]y = \frac{49}{4} [/tex]

[tex]y = 12.25[/tex]

Answer:

29.4 cm^2

Step-by-step explanation:

We can use a proportion to find the height:

120 : 100 = x : 7

x = (120 *7)/100 = 8.4 cm

Area = (base * height)/2 = (7 * 8.4)/2 = 29.4 cm^2

Answer:

29.4cm²

Step-by-step explanation:

First we are going to find 120% of 7.

7 × [tex]\frac{120}{100}[/tex] = 8.4 cm

Therefore, 8.4 cm is the height.

Area =  [tex]\frac{1}{2}[/tex] Base × Height

= [tex]\frac{1}{2}[/tex] × 7 × 8.4 = 29.4cm²

Answer:

Step-by-step explanation:

The given curve crosses the x-axis in two places, (-2, 0) and (0, 0), which are the zeros.  This parabolic curve opens up and has its vertex (minimum) at (-1, -1).

Answer: The graph has two zeros.

Step-by-step explanation:

The given graph is the graph of parabola open upward. In the graph of parabola, we will have two solutions since the highest degree of the function is 2.

y = ax^2 + bx + c, where a, b, c are real number and a ≠ 0.

You can see the height degree of the function is 2.

Therefore, there should be two zeros of the function.

According to the given graph of parabola has two zeros at x = -2 and x = 0.

The graph cross the x-axis at x = -2 and x = 0.

Hence, the graph has two zeros.

Answer is A. The graph has two zeros

Answer:

[tex]x + 3y = 6 - - - (a) \\ 2x + 8y = - 12 - - - (b) \\ 2 \times (a) - (b) : \\ 0x - 2y = 24 \\ y = 12 \\ x + (3 \times - 12) = 6 \\ x = 42 \\ { \boxed{x = 42}} \\ { \boxed{y = 12}}[/tex]

Answer:

y = -½x + 4

Step-by-step explanation:

the line passes point of y-intercept (0, 4) ,

and another point (6, 1)

the slope = (1-4)/(6-0) = (-3)/6 = -½

so the Equation is y = -½x + 4

Answer:

C

Step-by-step explanation:

y=x(1/2)^x

Answer: 1.45 is a growth factor.

Step-by-step explanation:

Exponential growth function: [tex]y=Ab^x[/tex], where A = initial value , b = growth factor (if b>1)

Here, The expression [tex]6.7\cdot(1.45)^t[/tex] models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project t years since 2002.

Here, b=1.45 >1

Thus,1.45 is a growth factor.

Answer:

cos θ = -0.948

Step-by-step explanation:

First find θ of sin θ by taking the inverse:

θ = arcsin(0.312).

Then consider the interval of π/2 < θ < π, and set sin θ equal to arcsin(0.312).

arcsin(0.312) = 0.317297388112..

[ Hold on I am finishing up work ]

Answer:

Step-by-step explanation:

6ax +12by -9ay -8bx

=6ax -8bx -9ay +12by

=2x(3a -4b)-3y(3a -4b)

=(2x-3y)(3a-4b)

Answer:

894.14 mm^2.

Step-by-step explanation:

i did this.

hope this helps please like and mark as brainliest

Answer:

x = 1

y = 1

Step-by-step explanation:

3x - 2y = 1

2x + 2y = 4

3x - 2y + 2x + 2y = 1 + 4

3x + 2x = 5

5x = 5

5x ÷ 5 = 5 ÷ 5

x = 1

2x + 2y = 4

2(1) + 2y = 4

2 + 2y = 4

2 - 2 + 2y = 4 - 2

2y = 2

2y ÷ 2 = 2 ÷ 2

y = 1

Check:

3x - 2y = 1

3(1) - 2(1) = 1

3 - 2 = 1

x and y being 1 works for the first equation.

2x + 2y = 4

2(1) + 2(1) = 4

2 + 2 = 4

x and y being one works for both equations.

Answer:

False ..... ....... . . .. ..