What is the length of each leg of the triangle below?

explain it please so i know how to do it please

Answer:

44.4 degrees

Step-by-step explanation:

Given the following

Hypotenuse = 7

Longer leg = 5 (adjacent])

Let the acute angle angle between both sides be x

According to SOH CAH TOA

Cos theta = adj/hyp

Cos x = 5/7

x= arccos (5/7)

x = arccos (0.7143)

x = 44.4degrees

Hence he measure of the acute angle that is included between the longer leg and the hypotenuse is 44.4 degrees

Answer:

x^2+y^2 = 49

Step-by-step explanation:

This is a circle.

The generic equation of a circle is

(x-h)^2+ (y-k)^2 = r^2

where (h,k) is the center and r is the radius

The center of the circle is at the origin which is (0,0)

The radius is 7

(x-0)^2+(y-0)^2 = 7^2

x^2+y^2 = 49

Answer:

[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]

Step-by-step explanation:

we are given a circle

we want to figure out the equation of the circle

remember that,

[tex] \rm \displaystyle E _{c} : (x - {h)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]

(h,k) are the centre of the circle

we can clearly see that the centre of the circle is (0,0) and the redious is 7 units

thus substitute:

[tex] \displaystyle (x - {0)}^{2} + (y - 0{)}^{2} = {7}^{2} [/tex]

further simplification is needed:

[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]

and we are done!

Answer:

∠1 = 103°

Step-by-step explanation:

supplementary angle to 136° = 180° - 136° = 44°

∠1 = 180° - 33° - 44° = 103°

Step-by-step explanation:

Let the unnamed angle in the triangle be x.

x + 136 = 180 (Sum of angles on the same straight line)

x = 180 - 136

= 44

Angle 1 + x + 33 = 180 (Sum of angles in a triangle)

Angle 1 + 44 + 33 = 180

Angle 1 + 77 = 180

Angle 1 = 180 - 77

= 103

Answer:

Min: (-3,2)

Hope this helps!!

Answer:

63x^2-34x+3

Step-by-step explanation:

Answer:

6 + 4d + 11c

Step-by-step explanation:

In order to find the perimeter, you add up all the side lengths which would be expressions in this case

(10c + 10) + (c + 5) + (4d - 9)

add like terms: (10c + c) + (10 + 5 - 9) +4d

= 11c + 6 + 4d

which is the same as 6 + 4d + 11c, I just added them in a different order.

Answer:

y ≤ -2x - 2

Step-by-step explanation:

Slope- intercept form is y = mx + b, m being the slope and b being the y-intercept.

The slope is the rise of the line over the run. We can choose two points that are exactly on the line. Let's try points (-1, 0) and (0, -2). The line slopes down, so we already know the slope is negative. From point (-1, 0), the line goes down 2 units and over 1 unit. So, the slope is -[tex]\frac{2}{1}[/tex]. We can also simply say that the slope is -2.

The line intersects with the y-axis at point (0, -2), so the y-intercept is -2.

Because the shading is on the left side of the line and the line is solid, we can tell that y is less than or equal to -2x - 2. So, the equation is-

y ≤ -2x - 2

Answer:

the main hallway should be 12cm in the new drawing

Step-by-step explanation:

Answer:

1/2 of a bag in a full week

Step-by-step explanation:

If they can eat a fourth of a bag and a half of a week then they can eat a half of a bag and a full week because to have is 1/4+1/4 which equals 1/2

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Sides:\ 9cm\ and\ 8cm[/tex]

The question is incomplete, as what is required is not state. However, a possible question could be to determine the possible side length of the third side.

To do this, we make use of the triangle inequality theorem which states that:

Given three sides (a, b and c) of a triangle, the following inequalities exist.

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

Let a and b represent the two sides such that:

[tex]a = 9[/tex]

[tex]b = 8[/tex]

The inequalities become:

[tex]9 + 8 > c[/tex]

[tex]9 + c > 8[/tex]

[tex]8 + c > 9[/tex]

Solve for c in each:

[tex]9 + 8 > c[/tex]

[tex]17 > c[/tex]

[tex]c < 17[/tex]

[tex]9 + c > 8[/tex]

[tex]c > 8 - 9[/tex]

[tex]c > - 1[/tex]

[tex]8 + c > 9[/tex]

[tex]c >9 - 8[/tex]

[tex]c >1[/tex]

The value of c must be positive, so, we consider;

[tex]c >1[/tex] and [tex]c < 17[/tex]

Rewrite:

[tex]1 < c[/tex] and [tex]c < 17[/tex]

Combine both

[tex]1 < c < 17[/tex]

Hence, the value of c is:

[tex]c = (1,17)[/tex]

Answer:

I think that the answer is 1/8 NOT 1

Step-by-step explanation:

Answer:

y=5/3x-8

Slope = 5/3

Y int = (0,-8) or y=-8

Step-by-step explanation:

Answer: 5/3x - 8

Step-by-step explanation:

-3y=24-5x

/3

5x/3 -8

5/3x - 8

Answer:

350 yd² v. .v

Step-by-step explanation:

your welcome

Answer:

31.2

Step-by-step explanation:

Hope it helps !!:)

Answer:

120km

Step-by-step explanation:

We multiply 30km (thats how fast he was moving per hour) by the number of total hours during the journey, which is 4, 30 x 4 is 120km.

Answer:

c^8

Step-by-step explanation:

Expressing the above Mathematically ;

c^5 * c^8 * c^-5

From.rules of indices :

a^x * a^y = a^(x + y)

Therefore, applying the rule of indices ;

c^5 * c^8 * c^-5 = c^(5 + 8 + - 5)

c^5 * c^8 * c^-5 = c^(5 + 8 - 5)

c^5 * c^8 * c^-5 = c^8

Hence,

c^5 * c^8 * c^-5 = c^8

Answer:

40

Step-by-step explanation:

Substitute 25 for x

[tex] {25}^{2} - 30(25) + 225 = 100[/tex]

100 is the area of the square so that means

10 is the side length of each side of the square.

Multiply 4 by 10 to get the perimeter.

[tex]4 \times 10 = 40[/tex]

The answer: C/16 + (–7) + 22 + (–12)

Answer:

Step-by-step explanation:

perimeter of larger hexagon=2.5 perimeter of smaller hexagon

Answer:

I'm pretty sure for the percent question the answer would be A because 6% of 40,000 is 2400 and if I multiply that 5 times I get 12000 so I believe its A!

Answer:

x= 7.87298334621                          x=.12701665379

Step-by-step explanation:

This is in standard form so we have to factor this into

x^2-8x + 16 + 1 = 16

(x-4)^2 = 15

(x-4) = [tex]\sqrt{15\\}[/tex]

x-4= ± 3.87298334621

x-4 = 3.87298334621                      x-4= -3.87298334621

x= 7.87298334621                          x=.12701665379

B. 40 meters is the answer.

Answer:

40 meters

Step-by-step explanation:

100 centimeters= 1 meter

4000 centimeters= 4000÷100

                             =40 meters

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

The probability for a flip on either side of the coin is always 50% or [tex]\frac{1}{2}[/tex]

So to get the probability for the three flips just do:

[tex](\frac{1}{2}) ^{3}[/tex]  or [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex]

Either way you solve it the answer is [tex]\frac{1}{8}[/tex]

Answer:

4, (2,-4)

m= 5,(1,)

3,( 2,9)

Answer:

[tex]y+6=\frac{5}{2} (x+3)[/tex]

Step-by-step explanation:

point-slope formula: [tex]y-y_1=m(x-x_1)[/tex]

where m = slope and the point would be [tex](x_1,y_1)[/tex]

point-slope form: [tex]y+6=\frac{5}{2}(x+3)[/tex]

If you want to learn more about point-slope form,

Go to: https://www.albert.io/blog/point-slope-form/#What_is_point_slope_form

Answer:

No it doesn't

You see when something is in parenthesis () that means it isolated as a whole.  When it says (-6)^2 that means Negative six squared.  When it says -6^2 that means only the 6 will be squared since they are not parenthesized.  So by isolating the two figures both of those numbers together will be squared whereas when they arent isolated only one of them will be squared.

(-6)^2 =  -6 x -6 = 36

-6^2= - x 6 x 6= -36

Answer:

-6^2 is same as (-6)^2

Therefore, - 6^2 is - 6×-6 WHICH IS EQUALS TO 36

(-6)^2 = - 6×-6=36

36=36 is the answer.

Answer:

3/4

Step-by-step explanation: