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3 years ago

What number is 150% of 40?

Mathematics

1 answer:

Sedbober [7]3 years ago

8 0

Answer:

150% of 40 is 60.

Step-by-step explanation:

= 150/100 × 40
= 1.5 × 40
= 60

i hope it helped. ...

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Solve for x: −6 < x − 1 < 9

shtirl [24]

Answer:

$-5$

Step-by-step explanation:

$-6$

If $a$ than $a$ and $u$

$-6$

⇒ Switch sides:-

 $x-1>-6$

⇒ Add 1 to both sides:-

 $x-1+1>-6+1$

$x>-5$

And...

$\:x-1$

⇒ Add 1 to both sides:-

$x-1+1$

$x$

⇒ Now, Combine the intervals:-

 $-5$

OAmalOHopeO

3 0

3 years ago

One factor in flood safety along a levee is the area that will absorb water should the levee break. The coordinates that make up

Anit [1.1K]

Let

$A(0,0)\\ B (2.8, 2.1)\\C(4.3, 4.4)$

using a graph tool

see the attached figure

The figure is a triangle

we know that

The Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

Hero's Formula is equal to

$Area=\sqrt{p*(p-a)*(p-b)*(p-c)}$

where

p is is half the perimeter of the triangle

a,b,c are the lengths of the sides of a triangle

Step $1$

Find the length sides of the triangle

a) Find the distance AB

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(2.1-0)^{2} +(2.8-0)^{2}}$

$d =3.5\ mi}$

b) Find the distance AC

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-0)^{2} +(4.3-0)^{2}}$

$d =6.15\ mi}$

c) Find the distance BC

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-2.1)^{2} +(4.3-2.8)^{2}}$

$d =2.75\ mi}$

Step $2$

Find the perimeter of the triangle

$Perimeter= 3.5+6.15+2.75 =12.4\ mi$

Find the half of the perimeter

$p=\frac{12.4}{2} = 6.2\ mi$

Step $3$

Find the area of the triangle

$Area=\sqrt{6.2*(6.2-3.5)*(6.2-6.15)*(6.2-2.75)}$

$Area=\sqrt{6.2*(2.7)*(0.05)*(3.45)}$

$Area= 1.69\ mi^{2}$

therefore

the answer is the option

a) 1.65 mi^2.

4 0

3 years ago

Read 2 more answers

Given the parent function f(x)=x^2 in red, write the equation for the transformed function g(x) in green.

Nataly_w [17]

Answer:

g(x) = 2x² + 1

Step-by-step explanation:

The parabola got thinner, so to show that, you put a 2 before x² to show that the graph was dilated (or thinned) by a factor of 2 (Note: this number can also be negative, so if the dilation factor is negative, it's okay). Since the parabola shifts up by 1, you then add + 1 after x² to show the positive upward shift.

Your full equation would look like this: g(x) = 2x² + 1

Dilation: this just means that every point on the parent function was double (or whatever the factor is) in the transformed function.

5 0

2 years ago

What is the measure of angle z in this figure? Enter your answer in the box.

rjkz [21]

<z = 180 - 43
<z = 137

answer
<z = 137 degrees

3 0

3 years ago

A dance instructor chose four of his 10 students to be on stage for a performance. If order does not matter, in how many differe

Vikki [24]

This is a combination in which you choose 4 from 10.
The formula is
combinations = 10! / 4! * (10-4)!
combinations = 10! / 4! * 6!
combinations = 10 * 9 * 8 * 7 * 6! / 4! * 6!
combinations = 10 * 9 * 8 * 7 / 4 * 3 * 2
combinations = 10 * 3 * 7
combinations = 210
Source:
http://www.1728.org/combinat.htm

4 0

3 years ago

Read 2 more answers