Answer:
1,152,112.5 cm3
Step-by-step explanation:
To find the volume of this mailbox we can separate in two parts:
A rectangular prism, with dimensions 180 cm x 70 cm x 85.5 cm and
A triangular prism, with dimensions 25 cm x 70 cm x 85.5 cm.
Now we need to find the volume of both parts:
V_rectangular = 180 * 70 * 85.5 = 1,077,300 cm3
V_triangular = (1/2) * 25 * 70 * 85.5 = 74,812.5 cm3
Finally, we just need to sum the volumes of the parts:
V_mailbox = V_rectangular + V_triangular = 1077300 + 74812.5 = 1,152,112.5 cm3
- If x = 5 is a zero of the given polynomial, then,
- (x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]
- Now, divide the polynomial with (x - 5) using long division method. (See the picture)
- We get (x^2 - x - 6) as the quotient.
- Now, factorise the above polynomial:
- (x^2 - x - 6)
- = (x^2 - 3x + 2x - 6)
- = x(x - 3) + 2(x - 3)
- = (x - 3)(x + 2)
- Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)
<u>Answer</u><u>:</u>
<u>B.</u><u>(x − 5)(x − 3)(x + 2)</u>
Hope you could get an idea from here.
Doubt clarification - use comment section.
D. Her score will go down at first, but the on time payments will slowly raise it back up again.
This is the most reasonable answer :)
Hope this helps
Given that there is no any option to choose I am going to help you according to the concepts of
Congruent Triangles. Two triangles are congruent if and only if:
1. They have:exactly the same three sides
2. exactly the same three angles.
<span>There are five ways to find if two triangles are congruent but in this problem we will use only two.
First Answer:<u>ASA criterion:</u> </span><em>A</em><span><em>ngle, side, angle</em>. This means that we have two triangles where we know two angles and the included side are equal.</span>
So:
If ∠BAC = ∠DEF and

<em>Then ΔABC and ΔEFD are congruent by ASA criterion.</em>
Second answer:<u>SAS criterion:</u> <em>S</em><span><em>ide, angle, side</em>. This means that we have two triangles where we know two sides and the included angle are equal.
</span>

<em>Then ΔABC and ΔEFD are congruent by SAS criterion.</em>
To find the area of a triangle given its base and its height, use the formula A = bh/2.
The base of the triangle is 14m.
The height of the triangle is 10m.
Plug these values into the formula and solve.
A = bh/2
A = 14(10)/2
A = 140/2
A = 70
Answer:
The area of the triangle is 70 m².