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1 year ago

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Mathematics

1 answer:

Oliga [24]1 year ago

6 0

To find the area of a complex shape:

⇒ must split into simpler shapes

a rectangle of 8m by 7m
a rectangle of 2m by 8 m

Now let's find:

Area of a rectangle of 8m by 7m

$Area=8*7=56m^2$

Area of a rectangle of 2m by 8m

$Area = 2 * 8 = 16m^2$

Total Area = 56 + 16 = 72 m²

Answer: 72 m²

Hope that helps!

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A teepee is designed to have a diameter of 10 ft and a volume of 366ft³ what is the height? A.15ft , b.14 ft, c 5ft, or 1 ft

Katarina [22]

Answer:

B. 14 ft approx

Step-by-step explanation:

Given data

A teepee has a conical shape

Diameter= 10ft

radius= 5 ft

Volume = 366ft³

Height = ????

The expression for the volume is

V= 1/3πr^2 h

substitute

366= 1/3*3.142*5^2*h

366= 1/3*78.55*h

366= 26.18h

h= 366/26.18

h=13.98 ft

h= 14 ft approx

Hence the Height is 14 ft approx

5 0

2 years ago

Read 2 more answers

The equation for the cross section of a parabolic satellite television dish is y = 1/45 x2, measured in inches. How far is the f

patriot [66]

Answer:

11.25

Step-by-step explanation:

The equation for a parabola is:

y − k = 1/(4p) (x − h)²

where (h, k) is the vertex and p is the distance from the focus to the vertex.

1/(4p) = 1/45

4p = 45

p = 11.25

The distance from the vertex to the focus is 11.25 inches.

3 0

3 years ago

Could someone answer and explain these please? Thank you!

Oksana_A [137]

Answer 1:

It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.

So the two digit number x is expressed as,

$x=(10 \times t)+(1 \times u)$

$x=10t+u$

The two digit number 'y' is obtained by reversing the digits of x.

So, $y=(10 \times u)+(1 \times t)$

$y=10u+t$

Now, the value of x-y is expressed as:

$x-y=(10t+u)-(10u+t)$

$x-y=10t+u-10u-t$

$x-y=9t-9u$

$x-y=9(t-u)$

So, $9(t-u)$ is equivalent to (x-y).

Answer 2:

It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 = $\frac{a}{1-r}$

Since, the sum of the given infinite geometric series = 200

Therefore, $\frac{a}{1-r}=200$

Since, r=0.15 (given)

$\frac{a}{1-0.15}=200$

$\frac{a}{0.85}=200$

$a=0.85 \times 200$

a=170

The nth term of geometric series is given by $ar^{n-1}$ .

So, second term of the series = $ar^{2-1}$ = ar

Second term = $170 \times 0.15$

= 25.5

So, the second term of the geometric series is 25.5

Step-by-step explanation:

8 0

2 years ago

Debbie found a suitcase that was originally 129 but now is on sale for 30% off. If sales tax is 8.75%, what is her final cost?

Marizza181 [45]

Step-by-step explanation:

To find the answer we first multiply 129 by 0.7 since the price descresed 30 percent. each percent is equal to 0.01.

129 * 0.7 = 90.3

Then we multiply 90.3 by 1.0875 since that is the sales tax

90.3 * 1.0875 = 98.2

so the cost is 98.2

6 0

2 years ago

Read 2 more answers

2/3 + 1/2 in simple form fractions

nata0808 [166]

Try and find the common denominator which is 6 since 2×3 is 6 then once u get ur denominator u have to find the numerator which would be 4/6+3/6 And that would equal 7/6 and if you would u would keep it like that but if u would have to change it into a mixed fraction it would be 1 and 1/6

Hoped this helped

3 0

3 years ago