Find the surface area of the triangular prism. 3 m 5 m 8 m 20 m 5cm
1 answer:
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Step-by-step explanation:
The interest is 1.95 percent.
1.95 percent = 1.0195
Value after 3 years =
= $7417.54 (to the nearest cent)
Answer:
UV=29
Step-by-step explanation:
In right triangles AQB and AVB,
∠AQB = ∠AVB ...(i) {Right angles}
∠QBA = ∠VBA ...(ii) {Given that they are equal}
We know that sum of all three angles in a triangle is equal to 180 degree. So wee can write sum equation for each triangle
∠AQB+∠QBA+∠BAQ=180 ...(iii)
∠AVB+∠VBA+∠BAV=180 ...(iv)
using (iii) and (iv)
∠AQB+∠QBA+∠BAQ=∠AVB+∠VBA+∠BAV
∠AVB+∠VBA+∠BAQ=∠AVB+∠VBA+∠BAV (using (i) and (ii))
∠BAQ=∠BAV...(v)
Now consider triangles AQB and AVB;
∠BAQ=∠BAV {from (v)}
∠QBA = ∠VBA {from (ii)}
AB=AB {common side}
So using ASA, triangles AQB and AVB are congruent.
We know that corresponding sides of congruent triangles are equal.
Hence
AQ=AV
5x+9=7x+1
9-1=7x-5x
8=2x
divide both sides by 2
4=x
Now plug value of x=4 into UV=7x+1
UV=7*4+1=28+1=29
<u>Hence UV=29 is final answer.</u>
Answer:
1. Let, Jamie needs "$ g" for the trip. Then, according to the question,
g = 600 -------------------(1)
2. Let, Stella needs "$ m" for the trip. Then, according to the question,
m = 600 -------------(2)
3. If Jamie washes x no. of cars and Stella makes y no. of pies, then,
25x ≥ 600 ≥ 15y -------------(3)
4. Yes, Stella can afford to sign up for the trip with the money she earns.
Step-by-step explanation:
Let, Jamie needs "$ g" for the trip. Then, according to the question,
g = 600 -------------------(1)
Let, Stella needs "$ m" for the trip. Then, according to the question,
m = 600 -------------(2)
if Jamie washes x no. of cars for $25 each and Stella makes y no. of pies
for $ 15 each, then, according to the question,
25x ≥ 600 ≥ 15y -------------(3)
Yes, Stella can afford to sign up for the trip with the money she earns. Because, she can make at most 40 pies for $15 each and
$ = $ 600 = The amount of money Stella needs for the trip.