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shepuryov [24]
3 years ago
15

Quadrilateral MNPQ is shown on the grid below.

Mathematics
1 answer:
AfilCa [17]3 years ago
5 0

Answer:

<em>42 square units</em>

Step-by-step explanation:

Find the diagram attached

Area of the diagram = Area of the triangle + Area of rectangle

Area of rectangle = Length * Width

Area of rectangle = 3 * 6

Area of rectangle = 18 square units

Area of triangle = 1/2 * base * height

Get the base of the tringle using the pythagoras theorem;

b^2 = 10^2-6^2

b^2 = 100 - 36

b^2 = 64

b = 8units

height = 6 units

Area of the triangle = 1/2 * 8 * 6

Area of the triangle = 48/2

Area of the triangle  = 24 square units

Area of the figure = 18+24

<em>Area of the figure = 42 square units</em>

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A pound is approximately 0.45 kilogram. A person weighs 87 kilograms. What is the person's weight, in pounds, when rounded to th
Vlada [557]

Answer:

you multiply 0.45kg by 87kg you will get 39lb

8 0
3 years ago
Given a circle with the equation ( x − 2 ) 2 + ( y − 3 ) 2 = 7 , which of the following represents the center and radius of the
kogti [31]

Answer:

center (h,k)=(2,3)

Step-by-step explanation:

radius =  \sqrt{ \frac{7}{2} }

8 0
3 years ago
simplify the expression below. Express the simplified expression in standard form (12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)
joja [24]
<h3>Answer:   14s^4 - 7s^2 + 15</h3>

====================================================

Work Shown:

(12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)

12s^4-6s^2+4s+6s^4-4s+27-4s^4-s^2-12

(12s^4+6s^4-4s^4)+(-6s^2-s^2)+(4s-4s)+(27-12)

14s^4-7s^2+0s+15

14s^4-7s^2+15

Note: don't forget to distribute the negative to every term in the last parenthesis

3 0
3 years ago
Solve the following system of equations and show all work. y = x^2 + 3 y = x + 5 (10 points)
svetoff [14.1K]

Answer:

(- 1, 4 ) and (2, 7 )

Step-by-step explanation:

Given the 2 equations

y = x² + 3 → (1)

y = x + 5 → (2)

Substitute y = x² + 3 into (2)

x² + 3 = x + 5 ← subtract x + 5 from both sides

x² - x - 2 = 0 ← in standard form

(x - 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 1 = 0 ⇒ x = - 1

Substitute these values into (2) for corresponding values of y

x = 2 : y = 2 + 5 = 7 ⇒ (2, 7 )

x = - 1 : y = - 1 + 5 = 4 ⇒ (- 1, 4 )

4 0
4 years ago
How many five-digit natural numbers contain exactly one 0?
Tems11 [23]
<h3>If this helped, PLEASE make this the BRAINLIEST answer!</h3>

0.4641. would be your answer

Adding up there are 41769 five digit numbers with atleast one zero in it. Therefore the probability that a five-digit number has at least one zero in it is 0.4641.

3 0
3 years ago
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