MATHEMATICS MIDDLE SCHOOL

If the area A of a triangle is 45 m2 (square meters) and the altitude h is 15 m, what's the base b?

Answers

Answer 1
Answer:

Answer:

The base b is 6m

Step-by-step explanation:

The area A of a triangle with base b and height h is given by the formula;

A=(1)/(2)*b*h

The area of the triangle is given as 45 while the height h is 15. We substitute these known values into the formula above and solve for the unknown base;

45=(1)/(2)*b*15\n\n90=15*b

We finally divide both sides by 15 to solve for b;

b = 90/15 = 6

Therefore, the base of the triangle is 6 m
Answer 2
Answer:

Answer:

b = 6\ m

Step-by-step explanation:

The area of a triangle is

A = 0.5b * h

Where b is the base of the triangle and ha is the height.

In this case we have a triangle with area

A = 45\ m ^ 2

and with height:

h = 15\ m

So the base of the triangle is:

45 = 0.5b (15)\n\nb=(45)/(15*0.5)\n\nb=6\ m

Finally the base of the triangle is b = 6 meters

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A circle with radius of 4cm sits inside a circle with radius of 11cm.What is the area of the shaded region?

Answers

Answer:

Area of shaded region = 329.70 cm²

Step-by-step explanation:

Area of a circle = πr²

Area of bigger circle = 3.14 × 11²

= 3.14 × 11 × 11

= 379.94 cm²

Area of smaller circle = 3.14 * 4²

= 3.14 × 4 × 4

= 50.24 cm²

Area of shaded region

= Area of bigger circle - Area of smaller circle

= (379.94 - 50.24) cm²

= 329.70 cm²

Answer:

329.70 cm^2

Step-by-step explanation:

Hope this helps!

What is 11(x+10)+5x=11+7x

Answers

X = -11.

11(x+10)+5x=11+7x

11x + 110 + 5x = 11 + 7x

(11x + 5x) + 110 = 7x + 11.

16x + 110 = 7x + 11.

16x + 110 - 7x = 7x + 11 - 7x

9x + 110 + 11.

9x + 110 - 110 =11 - 110.

9x/9 = -99/9

X = -11

How to get answer by Mimiwhatsup:

11\left(x+10\right)+5x=11+7x\n11\left(x+10\right)+5x\n\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\na=11,\:b=x,\:c=10\na=11,\:b=x,\:c=10\n\mathrm{Multiply\:the\:numbers:}\:11\cdot \:10=110\n=11x+110\n=11x+110+5x\n11x+110+5x\nGroup\:like\:terms\n=11x+5x+110\n\mathrm{Add\:similar\:elements:}\:11x+5x=16x\n=16x+110\n16x+110=11+7x\n\mathrm{Subtract\:}110\mathrm{\:from\:both\:sides}\n16x+110-110=11+7x-110\nSimplify\n16x=7x-99\n

\mathrm{Subtract\:}7x\mathrm{\:from\:both\:sides}\n16x-7x=7x-99-7x\n\mathrm{Simplify}\n9x=-99\n\mathrm{Divide\:both\:sides\:by\:}9\n(9x)/(9)=(-99)/(9)\nSimplify\n(9x)/(9)=x\n(9x)/(9)\n\mathrm{Divide\:the\:numbers:}\:(9)/(9)=1\n=x\n(-99)/(9)=-11\n(-99)/(9)\n\mathrm{Apply\:the\:fraction\:rule}:\quad (-a)/(b)=-(a)/(b)\n=-(99)/(9)\n\mathrm{Divide\:the\:numbers:}\:(99)/(9)=11\n\nAnswer: -11

Please help me with this!!!

Answers

Answer:

(f•g)(2)=3 and (g•f)(6)=7

Step-by-step explanation:

look at the tables

where x is equal to both 2 and 7 is where you will find your answer

Hope this helps you!
I agree with the other person ;)

1. Pizza Paradise delivers pizza in the local neighborhood using bicycles. The bike delivery person, Tommy, uses a bike whose wheels have a radius of 13 in. Tommy’s average biking speed is 15 mph. How many minutes would it take for Tommy to deliver a pizza to a house that is 4 mi away, and how many revolutions of his bike wheels would this take? (A revolution is one full wheel turn.) Use 3.14 to approximate pi. Round to the nearest whole number.

Answers

we need to find circumference of wheele

C=2pir
r=13
C=2pi13
C=26pi
aprox pi=3.14
C=81.64 in


15 miles in 1 hour
4 miles in x hour
15/1=4/x
times x both sides
15x=4
divide 15 both sides
x=0.26666666 hour
times 60 mins
x=16 minutes


how many inches is 4 miles
1miles=5280 feet
1foot=12 inches
5280 tiems 12=63360 inches

circumferenc times number of rotations=63360
81.64 times number=62260
divide both sids by 81.64
number of rotations=776.09...
round
776 rotations



16 minutes and 776 rotations 

Write an equation for the line representing each of the following situations.A driving range charges $10 per bucket of golf balls.Car rental agency charges $100 plus $0.30 per kilometre.Floor installers charge $50 plus $1 per square meter.Book binding costs $15 plus $0.12 per page.

Answers

y=10x\n\n y=0.3x+100\n\n y=x+50\n\n y=0.12x+15

Determine the direction that this parabola opens y=x^2-6x

Answers

Answer:

the graph of the parabola opens upwards.

Step-by-step explanation:

For any quadratic equation of the form

ax ^ 2 + bx + c is true that:

if the main coefficient "a" is negative then the graph of the parabola opens downwards.

If the main coefficient "a" is positive, the parabola opens upwards

In this case the parabola is y=x^2-6x

Note that a=1 and a>0 therefore the graph of the parabola opens upwards.
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