MATHEMATICS HIGH SCHOOL

What is the area of this figure

Answers

Answer 1

Answer:

Answer:

247 yd²

Step-by-step explanation:

this figure can be "split" into 3 sub-figures.

2 rectangles and one triangle "at the top".

these 3 areas can be easily calculated, and the we simply sum them all up, and that is the total area.

my approach is to pick the first rectangle to be the one extruding one to the right.

R1 = 11×5 = 55 yd²

the second rectangle is then the rest of the"straight" area up to the beginning of the triangle top

R2 = 8 × (13+5) = 8×18 = 144 yd²

and the area of a triangle is

baseline × height / 2

we can clearly see in our example, it is a right-angled triangle, so the left side is also the height, which is the remainder of the long side of the original figure, when we deduct all the other parts we used for the rectangles.

so, we have

T = 8 × (30 - 5 - 13) / 2 = 8×12/2 = 8×6 = 48 yd²

so, in total we have

F = 55 + 144 + 48 = 247 yd²

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After 3 years what is the total amount of an investment of $1500 in an account paying 3.5% interest, compounded quarterly?A.)$1665.31B.)$1724.36C.)$1908.42D.) $2266.60
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For what value of x is the rational expression below equal to zero 20+2x/5-x

Answers

$(20+2x)/(5-x)=0;\ \ \ \ D:x\neq5\n\n(20+2x)/(5-x)=0\iff20+2x=0\n\n2x=-20\ \ \ \ /:2\n\nx=-10\in D$

Anna is going to play guitar in her school's annual concert. If she starts by practicing for one hour per day and increases the time by 30 minutes each day, how long will she practice on the seventh day? a. 140 minutes b. 210 minutes c. 240 minutes D. 300 minutes

Answers

As per arithmetic progression, Anna will practice on the seventh day for 240 minutes.

What is an arithmetic progression?

"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."

Anna practices on the first day for 1 hour

$= 60$ minutes

She increases the time by 30 minutes each day.

Therefore, on the 7th day she will practice for

$= [60+(7-1)30]$ minutes

$= 240$ minutes

Learn more about an arithmetic progression here: brainly.com/question/24873057

#SPJ2

on day one she starts of with 1 hour so it will be 1+30x. X being the number of days so by the seventh day Anna would practice for 240 minutes.

How many distinct signals can be made with 8 flags displayed at the same time in a vertical array if 3 flags are white, 2 flags are red, 1 flag is checkered and the rest of the flags are yellow?1,680
3,360
6,720

Answers

Answer:

Option 1 - 1680 distinct signals can be made with 8 flags displayed at the same time in a vertical array.

Step-by-step explanation:

Given : 8 flags displayed at the same time in a vertical array if 3 flags are white, 2 flags are red, 1 flag is checkered and the rest of the flags are yellow.

To find : How many distinct signals can be made with 8 flags ?

Solution :

The total number of flags is 8

White flag = 3

Red flag = 2

Checkered flag = 1

Yellow flag = 8-3-2-1=2

Applying the Fundamental Counting Principle which state that the multiplication of the events together to get the total number of outcomes.

The distinct signals can be made with 8 flags is

$T=(8!)/(3!* 2!* 1!* 2!)$

$T=(8* 7* 6* 5* 4* 3!)/(3!* 2* 1* 1* 2* 1)$

$T=1680$

Therefore,Option 1 - 1680 distinct signals can be made with 8 flags displayed at the same time in a vertical array.

The answer is a.
1,680 distinct signals can be made.

Represent the polynomial x2 – 16 geometrically using algebra tiles. The number of zero pairs that will be added to the board is24 816 . The equivalent factored form of x2 – 16 is(x – 16)(x + 1)(x – 4)(x – 4)(x + 4)(x + 4)(x – 4)(x + 4) .

Answers

Answer:

Fourth option: (x-4)(x+4)

Step-by-step explanation:

x^2-16

Using a^2-b^2=(a-b)(a+b) with:

a^2=x^2→sqrt(a^2)=sqrt(x^2)→a=x

b^2=16→sqrt(b^2)=sqrt(16)→b=4

Then:

x^2-16=(x-4)(x+4)

Answer:

The number of zero pairs that will be added to the board is

✔ 4

The equivalent factored form of x2 – 16 is

✔ (x – 4)(x + 4) (D)

Please answer this question now

Answers

Hi there! :)

Answer:

$\huge\boxed{V = 359.01 mm^(3) }$

Use the formula V = 1/3(bh) to solve for the volume of the cone where b = πr² where π ≈ 3.14:

Find the area of the base:

b = π(7)²

b = 49π

b = 153.86 mm²

Find the volume:

V = 1/3(153.86 · 7)

V = 1/3(1077.02)

V = 359.006 ≈ 359.01 mm³.

Please help me ......

Answers

For the first problem, when you see expression like that it just means to write it twice, then FOIL it.
(2x-6) (2x-6)
If you don't know what FOIL is let me know and I can further explain it!

This also applies for the second question!