Debra is on the swim team. Each day she swims 850m. How many kilometers does she swim each day?

Mr Thomas wants to protect his garage by installing a flood barrier. He connects 2 barriers side by side. Each barrier is 9 feet

bezimeni [28]

Answer:

36 square feet,

Step-by-step explanation:

Given:

Mr Thomas wants to protect his garage by installing a flood barrier.

He connects 2 barriers side by side

Each barrier is 9 feet long by 2 feet high ( breadth)

Question asked:

What is the combined area of the barriers ?

Solution:

Length of each barrier = 9 feet

As he connects 2 barriers side by side, the length will be doubled but height (breadth) will be unchanged.

Total length of two barriers = 9 + 9 = 18 feet

Height (breadth) of the barriers = 2 feet

By using, Area of rectangle = $length \times breadth$

= $18 feet \times 2feet = 36 square feet$

Therefore, combined area of the barriers is 36 square feet,

7 0

3 years ago

A triangular pyramid has a base with an area of 43 cm squared and lateral faces with bases of 10 cm and heights of 8.6 cm. What

Jet001 [13]

Answer:

The total surface area of triangular pyramid is 172 cm squared

Step-by-step explanation:

Triangular pyramid:

Number of faces 4.
Number of vertices of a triangular pyramid is 6.
The volume is $\frac13 AH$ . A= area of the pyramid's base and H= height of the pyramid.

The surface area of triangular pyramid B+L. B= area of base, L= area of lateral surface.

Given that, the area of the base is 43 cm squared. Lateral faces with bases of 10 cm and heights 8.6 cm.

The 3 sides of the triangular pyramid is triangle in shape.

The area of triangle is $\frac12 \times base \times height$ .

The lateral surface area of the triangular pyramid is

$=3(\frac12 \times base \times height)$

$=3(\frac12\times 10\times8.6)$ cm squared

=129 cm squared

The total surface area of triangular pyramid is

=Area of the base + lateral surface area

=(43+129) cm squared

=172 cm squared

8 0

4 years ago

Write an<br> explicit formula for An, the nth term of the sequence <br> 15, 7, -1,....

pychu [463]

Answer:

aₙ=23 - 8n

Step-by-step explanation:

15, 7, -1,....

AP with the first term of 15 and common difference -8

aₙ=a₁+(n-1)d= 15+(n-1)*(-8)= 15 -8n +8= 23 - 8n

aₙ=23 - 8n

4 0

3 years ago

The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =

andrey2020 [161]

we have

$f(x)=x^{2}-2x-3$

Find the roots

Equate the function to zero

$x^{2}-2x-3=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}-2x=3$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}-2x+1=3+1$

$x^{2}-2x+1=4$

Rewrite as perfect squares

$(x-1)^{2}=4$

Square root both sides

$(x-1)=(+/-)2$

$x=1(+/-)2$

$x=1+2=3$

$x=1-2=-1$

therefore

<u>the answer is</u>

$x=3$

5 0

3 years ago

Read 2 more answers

Which expression shows how the distribuive property can be used to multiply 8x29?

Natasha_Volkova [10]

The expression which shows how the distributive property of the can be used to multiply 8×29 as in the task content is; 8(20 + 9).

<h3>Which expression can be used to show how the distributive property can help multiply 8×29?</h3>

It follows from the task content that the given product to be multiplied is; 8×29.

Consequently, it follows from convention that the distributive property of multiplication allows that the multiplication in this case can be rewritten as follows;

8×29 = 8 (20 + 9)

Hence, we have; (8×20) + (8×9).

Read more on distributive property of multiplication;

brainly.com/question/2807928

#SPJ1

3 0

2 years ago