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3 years ago

7

Mathematics

1 answer:

Anna71 [15]3 years ago

5 0

Answer:

Step-by-step explanation:

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I need some help with two problems

nataly862011 [7]

Answer:

24) x = 16

I am not sure about #25

7 0

3 years ago

A square has a diagonal length of 10 ft. Draw a diagram and determine the perimeter of the square.

denpristay [2]

The perimeter of the square is: $20\sqrt2$ ft

Step-by-step explanation:

The picture is attached with the answer.

the diagonal of a square divides it into two right angled-triangles.

We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle

Let a be the side of the square, then according to Pythagoras theorem

$d^2=a^2+a^2\\(10)^2 = 2a^2\\2a^2=100$

Dividing both sides by 2

$\frac{2a^2}{2}=\frac{100}{2}\\a^2=50$

Taking Square root on both sides

$\sqrt{a^2}=\sqrt{50}\\a=\sqrt{25*2}\\a=\sqrt{5^2 * 2}\\a=5\sqrt{2}\ ft$

Now,

$P = 4a\\P = 4 * 5\sqrt{2}\\=20\sqrt{2}\ ft$

Hence,

The perimeter of the square is: $20\sqrt2$ ft

Keywords: Perimeter, Pythagoras Theorem

Learn more about Square at:

#learnwithBrainly

5 0

4 years ago

Solve the system of equations using the substitution method.

Delicious77 [7]

Answer:

$x = 14$

$y = -3$

Step-by-step explanation:

Given

$2x + 8y =4$

$x = -3y + 5$

Required

Solve

Substitute $x = -3y + 5$ in $2x + 8y =4$

$2(-3y + 5) + 8y =4$

Open bracket

$-6y + 10 + 8y =4$

Collect like terms

$-6y + 8y =4-10$

$2y =-6$

Divide both sides by 2

$y = -3$

Substitute $y = -3$ in $x = -3y + 5$

$x = -3 * -3 + 5$

$x = 9+ 5$

$x = 14$

8 0

3 years ago

Figure LMNO is a parallelogram. Parallelogram L M N O is shown. Angle M is (3 x) degrees and angle N is (8 x minus 40) degrees.

saw5 [17]

Answer:

Step-by-step explanation:

we know that

In a parallelogram, opposite angles are congruent and consecutive angles are supplementary

In this problem

M and N are consecutive angles so

$m\angle M+m\angle N=180^o$

substitute the given values

$3x^o+(8x-40)^o=180^o$

solve for x

$11x-40=180\\11x=220\\x=20$

5 0

3 years ago

Read 2 more answers

Can someone please help me with both these questions? You will get 20pts

Volgvan

Answer:

#1) -3 feet

#2) 5hours

Step-by-step explanation:

#1) you need to find the rate of change- feet per minute

To find the rate, divide -12 feet by 4 minutes (the twelve in negative because it decreases, almost like subtraction)

-12/4= -3 feet per minute.

Now, multiply by amount of minutes- -3x1= -3 feet in 1 minute

#2) To find the maount of degrees each hour,

divide 10 degrees by 2 degrees per hour.

10/2=5 hours

Hope this helps :)- please give me brainliest!!

3 0

3 years ago