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3 years ago

Use your knowledge of the Triangle Sum Theory to solve for x. Then solve for ∠ L. help plss

Mathematics

1 answer:

krok68 [10]3 years ago

7 0

Answer:

X= 15

K=45

Step-by-step explanation:

The Triangle Sum Theory means that every interior angle of a triangle sums up to 180. My first approach was to put 169 as x but that isn’t correct. That is because a triangle’s smallest angles have to add up to be more than the biggest angle. Ex (10, 5, 7 that is a triangle because the sum of 5+7 is more than 10) So as you can see there are x’s next to the other numbers. That is because x needs to be able to multiply with the other numbers and stand on it’s own and add up to 180. So this would be the equation: X+8•X+3•X=180. You should find that 15 makes everything add up to 180. Now knowing x is 15 now we know that 3x is equal to 45. So k=45 That is how you solve this tricky question. Hope this helps! ❤️

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3 years ago

A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet

gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

$h(x)=10+0.1(x^{1.5})$

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

$h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}$

$s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx$

Let $1+0.0225x=t$

$dx=\frac{1}{0.0225}dt$

$s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt$

$s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}$

$s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}$

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3 years ago

2. Find the measure of angle A to the nearest degree.

pav-90 [236]

Answer:

37°

Step-by-step explanation:

we're going to use cosine rule In calculating for the value of angle A

note that cosine rule can be used when two sides are given with an included angle . from the diagram above, the two sides given are side AB and side AC and the included angle is A

Hence cosine rule

a^2 = AB^2+AC^2 - 2AB×AC Cos A

3.2^2= 2.1^2+4.6^2-2×2.1×4.6COSA

10.24 =4.41+21.16- 19.32 COSA

10.24 = 25.57-19.32COSA

10.24-25.57= -19.32COSA

-15.33= -19.32COSA

dividing bothsides by - 19.32

COSA= -15.33/19.32

COA= 0.79347826

A = COS^-1 (0.79347826)

A= 37.488

A= 37°

<h2>hope this helps!!</h2>

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Answer:

first of all,

Step-by-step explanation:

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Step-by-step explanation:

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