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3 years ago

9

Use the substitution method to solve the system of equations choose the correct ordered pair

1 answer:

skelet666 [1.2K]3 years ago

7 0

The answer to the question is c

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The area of the base of the oblique pentagonal pyramid is 50 cm^2 and the distance from the apex to the center of the pentagon i

Verdich [7]

The complete question in the attached figure

Part a)
we know that
ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
sin 45=AB/AC-----> AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm

the answer part a) is
AB=6 cm

Part b)
we know that
volume of the pyramid=(1/3)*Area of the base*height
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6----> 100 cm³

the answer part b) is
100 cm³

5 0

2 years ago

A line passes through the point (-2, 3) and has a slope of -2. What is the equation of the line?

Mrrafil [7]

Answer:

y = -2x -1

Step-by-step explanation:

slope intercept form is y = mx +b

m = slope, b = y intercept

point is given as ordered pair (x,y)

plug in slope into y=......

y= -2x+b

plug in the point

3 = -2 * (-2) + b

3= 4 +b subtract 4 on each side

b = -1

y = -2x -1

8 0

2 years ago

Question 10 of 10

docker41 [41]

Answer:

4

Step-by-step explanation:

$\frac{ \sqrt{9} \times \sqrt{144} }{ \sqrt{81 } } \\ \\ \frac{3 \times 12}{9} \\ \\ \frac{36 }{9} \\ \\ = 4$

8 0

2 years ago

If the atomic number of an element is 7 and its mass number is 16, how many neutrons are in the atom's nucleus

Margaret [11]

Number of Neutrons = Atomic mass - Atomic number
= 16 - 7 = 9

In short, Your Answer would be 9

Hope this helps!

7 0

3 years ago

A mixture of concrete is made up of sand and cement in the ratio of 5:3.How many cubic centimeters of sand is needed to make 160

bazaltina [42]

Answer: $100\ cm^3$

Step-by-step explanation:

Given

The ratio of mixture of sand and cement is 5:3

If the total volume of mixture is $160\ cm^3$

Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.

$\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3$

Sand $5x=5\times 20=100\ cm^3$

So, there is $100\ cm^3$ of sand in the mixture

3 0

2 years ago