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2 years ago

What is the area of the triangle ? A) 64 B) 56 C) 48 D) 112

Mathematics

1 answer:

Advocard [28]2 years ago

7 0

Answer:

$\text{B) }56\:\mathrm{cm^2}$

Step-by-step explanation:

The area of a triangle with height $h$ and base $b$ is given by $A=\frac{1}{2}bh$ . By definition, the base and the height must intersect at a 90 degree angle. Therefore, the diagram gives a base of 14 cm and a height of 8 cm. Substituting these values, we get:

$A=\frac{1}{2}\cdot 8\cdot 14=\boxed{\text{B) }56\:\mathrm{cm^2}}$

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Please help

Vlada [557]

We know that

When we have

$f(x)=ax^2 +bx+c$

Here ,

a is the leading coefficient

c is the constant term

so, we can compare it with

$f(x)=5x^2-7x+6$

so, we get

$a=5,c=6$

so,

leading coefficient is 5

constant term is 6......................Answer

4 0

3 years ago

Which of the following correctly describes the interval shown?

adoni [48]

B is the correct one

5 0

2 years ago

Does anyone know how to solve this?

masya89 [10]

Answer:

b = -125/9

Step-by-step explanation:

1 + log5 ( -9b) = 4

Subtract 1 from each side

1 -1+ log5 ( -9b) = 4-1

log5 ( -9b) = 3

Raise each side to the base 5

5^ log5 ( -9b) = 5^3

This will cancel the log5

-9b = 125

Divide each side by 9

-9b/-9 = 125/-9

b = -125/9

3 0

2 years ago

Tim picked 1 7/12 buckets of apples, and Fred picked 4 2/3 buckets of apples. How many more buckets did Fred pick?

ElenaW [278]

The answer is 2 buckets

Explain:
Tim picked 1 7/12 and Fred picked 4 2/3
These as improper fractions are 19/12
And 8/3
To make these have the same denominator you would times the 8/3 by 4 to give 32/12
Take these two away, Fred has 13 more apples.
And as we calculated it with there being 12 in each bucket there would be one full bucket but we would need another bucket for the apple left
So Fred picked 2 more buckets than Tim.
Hoped it makes sense and that I helped

3 0

2 years ago

A function of the form f(x)=ab^x is modified so that the b value remains the same but the a value is increased by 2. How do the

ANEK [815]

Answer:

The domain and range remain the same.

Step-by-step explanation:

Hi there!

First, we must determine what increasing a by 2 really does to the exponential function.

In f(x)=ab^x, a represents the initial value (y-intercept) of the function while b represents the common ratio for each consecutive value of f(x).

Increasing a by 2 means moving the y-intercept of the function up by 2. If the original function contained the point (0,x), the new function would contain the point (0,x+2).

The domain remains the same; it is still the set of all real x-values. This is true for any exponential function, regardless of any transformations.

The range remains the same as well; for the original function, it would have been $y\neq 0$ . Because increasing a by 2 does not move the entire function up or down, the range remains the same.

I hope this helps!

3 0

2 years ago