All categories

3 years ago

A triangular prism has a height of 6 meters and a triangular base with the following dimensions.

Mathematics

2 answers:

Novosadov [1.4K]3 years ago

4 0

The value of B is 48m. squared
This is because the formula for a triangle is (length×hight÷2)

So in this case, multiply 16 and 6 to get 96. Then divide 96 by 2 to get 48m. squared

Reptile [31]3 years ago

4 0

Answer: The correct option is (B) 48 m².

Step-by-step explanation: Given that a triangular prism has a height of 6 meters and a triangular base with the dimensions as shown in the figure.

We are to find the value of B, the area of the base of the prism.

As shown in the figure,

the base of the prism is a triangle with base length 16 m and height 6 m.

We know that

the area of a triangle with base b units and height h units

$A=\dfrac{1}{2}\times b\times h.$

In the given triangular base of the prism, we have

b = 16 m and h = 6 m.

Therefore, the area of the base will be

$B=\dfrac{1}{2}\times b\times h=\dfrac{1}{2}\times 16\times 6=48~\textup{m}^2.$

Thus, the required value of B is 48 m².

Option (B) is CORRECT.

You might be interested in

Kamilah’s weight has tripled since her first birthday. If w represents the amount Kamilah weighed on her first birthday, write a

S_A_V [24]

Answer:

3*w

Step-by-step explanation:

Kamilah now weighs the triple of what she weighed on her first birthday. That means we need to multiply the first weight by 3. As the first weight is w, she now weighs 3*w.

Another possible expression is to sum 3 times w, that is w + w + w (it's equal to 3*w).

8 0

3 years ago

Convert 15°C to Fahrenheit. Use the formula F = 9/5C + 32.

viva [34]

The answer is A) 59

9/5(15)+32 =59

3 0

4 years ago

Read 2 more answers

Drag the tiles to the correct boxes to complete the pairs.

Ne4ueva [31]

Answer:

Part 1) $-1.25$ -------> $2.75/(-2.2)$

Part 2) $-4\frac{1}{3}$ --------> $(-2\frac{3}{5}) / (\frac{3}{5})$

Part 3) $\frac{2}{3}$ ------> $(-\frac{10}{17}) / (-\frac{15}{17})$

Part 4) $3$ ------> $(2\frac{1}{4}) / (\frac{3}{4})$

Step-by-step explanation:

Part 1) we have

$2.75/(-2.2)$

To calculate the division problem convert the decimal number to fraction number

$2.75=275/100\\ -2.2=-22/10$

$(275/100)/(-22/10)$

Remember that

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

$(275/100)/(-22/10)=(275/100)*(-10/22)=-(275*10)/(22*100)=-(275)/(220)$

Simplify

Divide by 22 both numerator and denominator

$-(275)/(220)=-125/100=-1.25$

Part 2) we have

$(-2\frac{3}{5}) / (\frac{3}{5})$

To calculate the division problem convert the mixed number to an improper fraction

$(-2\frac{3}{5})=-\frac{2*5+3}{5}=-\frac{13}{5}$

$(-\frac{13}{5}) / (\frac{3}{5})$

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

$(-\frac{13}{5}) / (\frac{3}{5})=(-\frac{13}{5})*(\frac{5}{3})=-\frac{13*5}{5*3}=-\frac{13}{3}$

Convert to mixed number

$-\frac{13}{3}=-(\frac{12}{3}+\frac{1}{3})=-4\frac{1}{3}$

Part 3) we have

$(-\frac{10}{17}) / (-\frac{15}{17})$

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

$(-\frac{10}{17}) / (-\frac{15}{17})=(-\frac{10}{17})*(-\frac{17}{15})=\frac{10*17}{17*15}=\frac{10}{15}$

Simplify

Divide by 5 both numerator and denominator

$\frac{10}{15}=\frac{2}{3}$

Part 4) we have

$(2\frac{1}{4}) / (\frac{3}{4})$

To calculate the division problem convert the mixed number to an improper fraction

$(2\frac{1}{4})=\frac{2*4+1}{4}=\frac{9}{4}$

$(\frac{9}{4}) / (\frac{3}{4})$

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

$(\frac{9}{4}) / (\frac{3}{4})=(\frac{9}{4})*(\frac{4}{3})=\frac{9*4}{4*3}=\frac{9}{3}=3$

8 0

3 years ago

Consider the following equation. y = 1/3x + 10. Which of the following lines is perpendicular to the one a above ?

seraphim [82]

Answer:

D. Y=3x+10

Step-by-step explanation:

5 0

3 years ago

How do I complete this equation

Nesterboy [21]

Answer:

130°

Step-by-step explanation:

All the interior angles should add up to 540 degrees because it's a pentagon

∠T ≅∠S, so ∠T is also 115°

∠P and ∠R are both 90°

Add everything up and solve for ∠Q:

115 + 115 + 90 + 90 + m∠Q = 540

410 + m∠Q = 540

m∠Q = 130°

8 0

3 years ago