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2 years ago

12

Surface area of this figure

2 answers:

Aleks [24]2 years ago

8 0

Answer:

523.1m²

Step-by-step explanation:

Triangle: 1/2bh=1/2(4)(10)=20x2=40 each

Bottom Rectangle: 15x8=120

Side Rectangles: Since the side is a hypotenuse of a right triangle, it’s the square root of 10²+4²=√116=10.77. 10.77x15=161.55

So the total surface area would be 40+40+120+161.55+161.55=523.1m²

tamaranim1 [39]2 years ago

4 0

Answer:

23

Step-by-step explanation:

you add 10m(h) plus 8m(w) plus 15m(l)

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Which expression is equivalent to sec^2x − 1? a. cot2x b. tan2x c. csc2x d. cos2x

Nesterboy [21]

Sec^2 x - 1 = tan^2x

Proof:
Sec^2x = 1+ tan^2x

1/cos^2x = 1 + sin^2x/cos^2x

<span>1/cos^2x - sin^2x/cos^2x = 1
</span>Using common denominator:
(1-sin^2x)/cos^2x = 1
sin^2x + cos^2 x = 1
cos^2 x = 1 - sin^2x
Substituting :
cos^2x/<span>cos^2x = 1
</span>1 = 1
Left hand side = right hand side

4 0

2 years ago

Read 2 more answers

Compared to last year, the population of boom town has increased by 25%. The population is now 6,600. What was the population la

prisoha [69]

Answer:

5280people

Step-by-step explanation:

Given parameters:

Percentage increase of population = 25%

Population now = 6600

Unknown:

Population last year = ?

Solution:

Let the population last year = y;

Then;

Percentage of last years population plus the population of last year should give us this year's population;

( $\frac{25}{100}$ of y) + y = 6600

0.25y + y = 6600

1.25y = 6600

y = $\frac{6600}{1.25}$ = 5280people

Last year, there was 5280people in the locality.

5 0

2 years ago

there are 36 pupils in mr. castro mathematics class mr. castro wants to seperate the class into equal group for doing an activit

posledela

Answer:

He can use the factors of 36 to determine the number of groups he can divide the class into such that they are equal.

The Factors (excluding 1) are;

2, 3, 4, 6, 9, 12, 18

Using these therefore he can divide them;

Into 3 groups each with 12 people.
Into 4 groups each with 9 people.
Into 6 groups each with 6 people.
Into 9 groups each with 4 people.
Into 12 groups each with 3 people.

3 0

2 years ago

A store holiday sale has an item marked down by $10 with an additional discount of 25% off the

ValentinkaMS [17]

Answer:

C : $58.36

Step-by-step explanation:

Given:

A store holiday sale has an item marked down by $10.

Discount on new price = 25%

Final price was $36.27.

Question asked:

what was the original ?

Solution:

Let original price = $x$

New price = $x - 10$

Original price - marked down amount - discount amount = $36.27

$x - 10 -25\% of(x - 10 ) = 36.27\\$

$x - 10 - \frac{25}{100} (x - 10) = 36.27\\x - 10 - 0.25(x - 10) = 36.27\\x - 10 -0.25x +2.5 = 36.27\\0.75x - 7.5 = 36.27\\$

Adding both side by 7.5

$0.75x = 43.77\\$

Dividing both side by 0.75

$x = 58.36$

Therefore, the original price was $58.36

5 0

2 years ago

Callie has x yards of string. For an art project, she can cut an equal number of pieces of string in each piece is 11/12 foot lo

vagabundo [1.1K]

Answer:

C) x ÷ 11/12

Step-by-step explanation:

If you divide the total length of string by the length of each piece, you get the number of strings.

total length of string: x

length of each piece: 11/2

We need to divide x by 11/12

Answer: C) x ÷ 11/12

6 0

2 years ago