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3 years ago

PLEASE HELP! URGENT! WHAT'S B

Mathematics

1 answer:

Nina [5.8K]3 years ago

5 0

Answer:

"B" represents the area of the base so if the base is a square than a capital "B" means to find the area of the base (square). To find the area of a square it would be length x width.

Step-by-step explanation:

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2 x 10<br> i need help pls

vitfil [10]

Answer:

Step-by-step explanation:

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3 years ago

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For f(x)= 3x+1 and g(x)= x^2-6, find (g/f)(x).

o-na [289]

D. The exclusion is important because we cannot divide by zero. Apart from that we are simply looking at a function.

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3 years ago

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From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event. Wha

Helga [31]

Answer:

The correct option is D. 2/7

Step-by-step explanation:

Consider the provided information.

There are 8 volunteers including Andrew and Karen, 4 people are to be selected at random to organize a charity event.

We need to determine the probability Andrew will be among the 4 volunteers selected and Karen will not.

We want to select Andrew and 3 others but not Karen in the group.

Thus, the number of ways to select 3 member out of 8-2=6

(We subtract 2 from 8 because Andrew is already selected and we don't want Karen to be selected, so subtract 2 from 8.)

The required probability is:

$\dfrac{^6C_3}{^8C_4}=\dfrac{\frac{6!}{3!3!}}{\frac{8!}{4!4!}}\\\\\\\dfrac{^6C_3}{^8C_4}=\frac{20}{70}\\\\\\\dfrac{^6C_3}{^8C_4}=\dfrac{2}{7}$

Hence, the correct option is D. 2/7

6 0

4 years ago

Aryana wants to invest $43,000. She has two options. Option A gives her 6% compounded quarterly. Option B gives her 6% simple in

solmaris [256]

Answer:

Option A earns higher interest($84115.58)

the difference in interest between the two option is $197.9

Step-by-step explanation:

In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns

Given data

Principal P= $43,000

Rate r= 6%= 0.06

time t= 3years

n= 4 (applicable for compound interest compounded quarterly)

solving for option A gives her 6% compounded quarterly

the compound interest formula is

$A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3$

$A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58$

Interest is $A-P= 51411.58-43000= 8411.58$ =$8411.58

solving for option B which gives her 6% simple interest annually

the simple interest formula is

$A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68$

Interest is $A-P=51213.68-43000= 8213.68$ = $8213.68

calculating the diference in interest between the two options we have

$8411.58-8213.68= 197.9$ = $197.9

Option A earns higher interest

8 0

4 years ago

Example 2

PIT_PIT [208]

Answer: (a) 314.2cm², (b) 157.1cm², (c) 78.55cm² (e) 6.77

Step-by-step explanation: (a) Area of the circle with radius of 10 cm = πr²

= 3.142 × 10 × 10

= 3.142 × 100

= 314.2cm²

The formula = πr²

(b) Area of the half of a circle known as semicircle

= πr²/2

= 3.142 ×10 × 10/2

= 3.142 × 50

= 157.1cm²

The formula = πr²/2

= πr²/4

= 3.142 × 10 × 10/4

= 314.2/4

= 78.55cm²

The formula is written thus = πr²/4, which implies that the circle is divided into 4 unit

(d) The conjecture about how to determine the area of the sector is

Formula of a sector = ∅/360(πr²)

<u>Information</u>

The arc cant be 60°, therefore information incomplete.

(e) Area of the sector with the angle AOB of 60° = 24.

To find the radius of the angle, make v the subject of the formula from the formula.

Sector area = πr²∅/360°

equate formula to 24.

Therefore πr²∅/360° = 24

Multiply through by360° to make it a linear expression

It now becomes πr²∅ =24× 360°

r² = 24 x 360/π × ∅°

r² = 24 × 360° /3.142 × 60°

r² = 3,640/188.52

r² = 45.8

To find r , we take the square root of both side by applying laws of indicies

Therefore r = √45 .8

r = 6.77

(f) General formula = ∅°/360° × (πr²)

angle substended at centre by the arc = x°

assuming the radius of the circle = ycm, Therefore, area of the sector = { ∅°/360° × πy² }

8 0

3 years ago