the perimeter of a rectangle is 52 cm. The length of the rectangle can be represented by (x.+5) and its width can be represented by (3x-7) what are the dimensions of this rectangle?

Answer:

theta = 22.6 degrees

Step-by-step explanation:

Here, we want to find the value of theta

To do this , we use the appropriate trigonometric identity

Let us identify the given sides of the triangle

we have the hypotenuse, which is the longest side of the triangle, given as 13 and the third side called the adjacent, given as 12

The trigonometric identity that relates the hypotenuse to the adjacent is the cosine

Mathematically;

cosine of an angle is the ratio of the adjacent to the hypotenuse

Thus, we have it that;

cos theta = 12/13

theta = arc(cos) 12/13

theta= 22.6

Answer:

square and what does the picture look like

Step-by-step explanation:

Answer:

5 1/2 is the answer, hope this helps

Answer:

c

Step-by-step explanation:

mabye not but meh

Answer:

6 elephants and 3 kangaroos in the zoo.

Step-by-step explanation:

Number of animals = 9

Number of legs seen = 30

But an elephant has 4 legs, while a kangaroo has 2 legs.

Let the number of elephant be represented by E, and the number of kangaroo by K.

So that,

E + K = 9 .................. 1

4E + 2K = 30 ............. 2

Multiply equation 1 by 2 to have

2E + 2K = 18 ............ 3

Subtract equation 3 from 1

2E = 12

E = 6

Substitute the value of E in equation 1

E + K = 9

6 + K = 9

k = 3

Thus, there were 6 elephants and 3 kangaroos in the zoo.

Answer:

3 bananas and 12 apples.

Step-by-step explanation:

105b+ 75a = 1215     where b is number of bananas and a is number of apples.

Divide each number by 15:

7b + 5a =  81

5a must end in 5 or 10 so 7b must end in 1 or 6.

So we try:

21 and 60:

7 * 3 + 5 *1 2 = 81

So b = 3 and a = 12.

The solution is

The number of bananas is = 3 bananas

The number of apples is = 12 apples

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of apples be = a

Let the number of bananas be = b

Now , the equation will be

The number of calories in bananas = 105 calories

The number of calories in apples = 75 calories

The total calories Mary takes = 1215 calories

So ,

Total calories Mary takes = number of apples x  number of calories in apples +  number of bananas x number of calories in bananas

Substituting the values in the equation , we get

75a + 105b = 1215

Divide by 15 on both sides of the equation , we get

5a + 7b = 81

So , substituting the values of a = 12 and b = 3 , we get

5 ( 12 ) + 7 ( 3 ) = 81

60 + 21 = 81

81 = 81

Therefore , the vale of a is 12 and value of b is 3

Hence ,

The number of bananas is 3 bananas

The number of apples is 12 apples

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

it already is in standard form

Step-by-step explanation:

Answer:

The second line cuts the x-axis at x = -5/2.

Step-by-step explanation:

The given line:

[tex]3x-2y=12[/tex]

Intersects a second line at x = 2.

This second line is perpendicular to the first.

And we want to find the second line's x-intercept.

First, rearrange the first line into slope intercept form:

[tex]-2y=-3x+12[/tex]

So:

[tex]\displaystyle y=\frac{3}{2}x-6[/tex]

We can see that the slope of the first line is 3/2.

It intersects the second line at x = 2.

So, the y-value of both the first and second line at x = 2 is the same.

Find the y-value by using the first line:

[tex]\displaystyle y=\frac{3}{2}(2)-6=3-6=-3[/tex]

So, a point on both lines is (2, -3).

Since the second line is perpendicular to the first, its slope it the first's negative reciprocal.

The negative reciprocal of 3/2 is -2/3.

So, the slope of the second line is -2/3.

And we determined that it passes through (2, -3).

Then by the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute:

[tex]\displaystyle y-(-3)=-\frac{2}{3}(x-2)[/tex]

Distribute:

[tex]\displaystyle y+3=-\frac{2}{3}x+\frac{4}{3}[/tex]

So:

[tex]\displaystyle y=-\frac{2}{3}x-\frac{5}{3}[/tex]

The second line will cut the x-axis when y = 0.

So:

[tex]\displaystyle 0 =-\frac{2}{3}x-\frac{5}{3}[/tex]

Multiply both sides by -3:

[tex]0=2x+5[/tex]

Solve for x:

[tex]\displaystyle x=-\frac{5}{2}[/tex]

The second line cuts the x-axis at x = -5/2.

Answer:

42cm^2

Step-by-step explanation:

are u in a test ;-;

two width is 28-9*2=10

width=5

ef=trapezium height=6

traqiuzm area=(5+9)*6/2

ANSWER IS 42

Answer:

(14 + 4)c, or 18c

Step-by-step explanation:

Answer:

(14 + 4)c, or 18c

Step-by-step explanation:

Answer: 3× (w +5)

Step-by-step explanation:

Answer:

x= 40.5

Step-by-step explanation:

4x+53=6x-28

-4x       -4x

53=2x-28

+28    +28

81=2x

2    2

40.5=x

Hope this helps!

(brainliest please)

Answer: 38

Step-by-step explanation:

Answer:

-12.45

Step-by-step explanation:

Answer:

the answer is -12.45

Answer:

5

Step-by-step explanation:

Plz mark brainliest

Answer:

5

Step-by-step explanation:

Answer:

12x-3x

= 9x

Step-by-step explanation:

Hope it is helpful....

Answer:

1 11/24

Step-by-step explanation:

30/48+40/48=70/48=1 11/24

Answer:

15/24 + 20/24 = 35/24 = 1 11/24

Step-by-step explanation:

because 6 and 8 lcm = 24 soooo

5x4 + 5x3 = 20 + 15 = 20/24 + 15/24

which is 35/24 which equals 1 11/24

hope it helps :>

Answer:

h = [tex]\frac{3v}{\pi r^{2} }[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

A=21

Step-by-step explanation:

a/7 + a/3 = 10

3a/21+7a/21=210/21

3a+7a=210

10a=210

a=21

Ans=8

Step-by-step explanation:

...............................

Answer:

6edkruky4jeyenegnyejyehetngenegn

Answer:

The answer is (12,-23)

Answer:

Step-by-step explanation:

Answer:

45° 60° 64°

Step-by-step explanation:

Little triangle:180-(64+71)=45

Big triangle :180-(64+56)=60

Answer:

The big triangle is 60, the little triangle is 45, and the middle is 64.

Step-by-step explanation

make me brainliest