Answer:
Step-by-step explanation:
Find all solutions to the equation.
7 sin^2(x) - 14 sin x + 2 = -5
7sin^2(x)-14 sin x+7 =0
sin^2(x)-2sin x+1 =0
(sinx-1)(sinx-1)=0
sinx=1
x=π/2+2pi*k, k=integer
The surface area of a triangular prism with the 3 sides slant height as 14 the base width as 8 and the base height as 6.9 is 155. 705 in²
<h3>
What is the surface area of a triangular prism?</h3>
The surface area of a triangular pyramid is the total area of all it's faces.
The properties of a triangular prism are;
- It is bounded y three lateral triangular faces meeting at one vertex.
- It has all its faces as triangles
<h3>
How to determine the surface area</h3>
Surface area = Base Area + 1÷2 (perimeter × base height)
But base area = 1÷2 (base side × height)
Base area = 1÷ 2 (8 × 14) = 0.5 × 112 = 56 in²
Perimeter = sum of all the sides = 14 + 8 + 6.9 = 28. 9 in
Base height = 6. 9in
Surface area = 56 + 1 ÷ 2 ( 28.9× 6. 9) = 56 + 0.5 × 199.41 = 56 + 99. 705 = 155. 705 in²
Surface area = 155. 705 in²
Therefore, the surface area of the triangular prism is 155. 705 in²
Learn more about surface area here:
brainly.com/question/16581456
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You have to solve for X
<span><span><span><span>3x</span>−<span>4y</span></span>−8=12
</span>
Multiply 4y to both sides
3x-4y-8+4y =12 +4y
3x-8==4y+12
Add 8 to both sides
3x-8+8=4y+12+8
3x=4y+20
Divide both sides by 3
3/3x=4y+20/3
x=4/3y+20/3</span>
Answer:
Step-by-step explanation:
tim has an after school delivery service that he provides for several small retailers in town. he uses his bicycle and charges $1.25 for a delivery made within 1 1/2 miles, $1.70 for a delivery of at least 1 1/2 miles but less than 1 3/4 miles. $2.15 for a delivery of at least 1 3/4 miles but less than 2 miles, and so on. if tim raised his rates by 10%, what would he be paid to deliver a package 3 1/8 miles.
Answer:
From the question asked the cost of additional 1/4 mile (1 3/4 - 1 1/2) is $0.45 ($1.7 - $1.25). If the rate is increased by 10% (0.1), the new price for an additional 1/4 mile would be 1.1 (1 + 0.1) × 0.45 = $0.495.
Tim new charge rate are as follows:
$1.25 for a delivery made within 1 1/2 miles
$1.745 for a delivery of at least 1 1/2 miles but less than 1 3/4
$2.24 or a delivery of at least 1 3/4 miles but less than 2
$2.735 or a delivery of at least 2 miles but less than 2 1/4
$3.23 or a delivery of at least 2 1/4 miles but less than 2 1/2
$3.725 or a delivery of at least 2 1/2 miles but less than 2 3/4
$4.22 or a delivery of at least 2 3/4 miles but less than 3
$4.715 or a delivery of at least 3 miles but less than 3 1/4
Since 3 1/8 is within 3 miles and 3 1/4 miles, Tim would charge $4.715 to deliver a package 3 1/8 miles.
Ok so 2.5 times 60 to get qt/hr then divide 150 by 4 to get gal/hr. You should get 37.5gal/hr