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3 years ago

A triangle has a base of 4 inches and a high of 6 inches

Mathematics

1 answer:

Finger [1]3 years ago

5 0

Answer:

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height )

here b = 4 and h = 6, thus

A = $\frac{1}{2}$ × 4 × 6 = 2 × 6 = 12 in² → B

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Write an equation of the line that passes through the given points (1 , 1.5) and (2, 3.5)

Nitella [24]

Answer:

y=2x-0.5

Step-by-step explanation:

typically, the equation of the line is written in slope intercept form, which is y=mx+b, where m is the slope and b is the y intercept

first, we need to find the slope (m) of the line

the formula for slope calculated from two points is given as (y2-y1)/(x2-x1)

we have two points: (1,1.5) and (2,3.5) and we can label them

x1=1

y1=1.5

x2=2

y2=3.5

now plug into the formula:

m=(3.5-1.5)/(2-1)

m=2/1

m=2

the slope of the line is 2

here's our equation so far:

y=2x+b

now we need to find b

since the line will pass through the points (1, 1.5) and (2, 3.5), we can plug either one of them into the equation to solve for

Let's use (1, 1.5)

substitute 1.5 as y and 1 as x

1.5=2(1)+b

1.5=2+b

subtract 2 from both sides

-0.5=b

therefore, our equation is:

y=2x-0.5

hope this helps!

5 0

3 years ago

An employee earns a 12% commission rate on the cameras he sells. If he earns $384 in commission, what were his total sales?

Vlad1618 [11]

I do questions like these a little different than most people so...

384/12= 32 (32 is 1% of his sales)
32*100= 3200

His total sales were $3200.

4 0

3 years ago

Read 2 more answers

Which is equivalent to RootIndex 5 StartRoot 1,215 EndRoot Superscript x?

SOVA2 [1]

Answer:

1,215 Superscript one-fifth x

Step-by-step explanation:

Given:

The expression to simplify is given as:

$(\sqrt[5]{1215})^x$

We know that,

$\sqrt[n]{a} = a^{\frac{1}{n}}$

Here, $n=5, a=1215$

So, $\sqrt[5]{1215} = 1215^{\frac{1}{5}}$

So, the above expression becomes:

$(\sqrt[5]{1215})^x = (1215^{\frac{1}{5}})^x$

Now, using the law of indices $(a^m)^n=a^{(m\times n)}$

Here, $a=1215,m=\frac{1}{5},n=x$

So, the expression is finally simplified to;

$=(1215)^{({\frac{1}{5}}\times x)}\\\\=(1215)^{\frac{1}{5}x}$

Therefore, the second option is the correct one.

$(\sqrt[5]{1215})^x$ = 1,215 Superscript one-fifth x

6 0

3 years ago

Read 2 more answers

What is the volume of a sphere if the radius is 6.3?

Neporo4naja [7]

Answer:

The answer to your question is V = 1046.60 u³

Step-by-step explanation:

Data

Volume = ?

radius = 6.3

π = 3.14

Formula

V = (4/3) πr³

Substitution

V = (4/3) (3.14)(6.3)³

Simplification

V = (1.333)(3.14)(250.047)

V = 1046.6017 u³

- Rounding to two decimal places just consider the six and zero

V = 1046.60 u³

6 0

3 years ago

Read 2 more answers

Can someone plz help me what do B-8=

anygoal [31]

Answer:

B = _ + 8

Step-by-step explanation:

• Let's equate it to x

${ \rm{B - 8 = x}}$

• Applying addition rule of equality:

${ \rm{(B - 8) + 8 = x + 8}} \\ \\ { \boxed{ \rm{B = x + 8}}}$

3 0

3 years ago