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2 years ago

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Mathematics

1 answer:

Irina18 [472]2 years ago

4 0

Answer:

x = 97.6

Step-by-step explanation:

cos = adjacent over hypotenuse

$cos(55)=\frac{56}{x}$

* multiply each side by x *

$cos(55)*x=xcos(55)\\\frac{56}{x} *x=56\\56=xcos(55)$

* divide each side by cos ( 55 ) *

$\frac{xcos(55)}{cos(55)} =x\\\frac{56}{cos(55)} =97.63302055$

we're left with x = 97.63302055

Our last step is to round to the nearest tenth of a foot

We get that x = 97.6

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Big ideas math 1.2 Practice A number 19

slega [8]

By applying Segment Addition Postulate, segment FH is equal to 24 units.

<h3>What is a point?</h3>

A point can be defined as a zero dimensional geometric object and it is generally represented by a dot.

<h3>What is a line segment?</h3>

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

<u>Given the following data:</u>

Line segment FG = 37.

Segment HG = 13.

Since point H lies on line segment FG, we would apply Segment Addition Postulate to determine segment FH as follows:

FG = HG + FH

37 = 13 + FH

FH = 37 - 13

FH = 24 units.

Read more on line segment here: brainly.com/question/17617628

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Complete Question:

Given that line segment FG = 37 and segment HG = 13, find segment FH.

4 0

1 year ago

can someone pls help me? i have no idea what to do. pls show the work steps for the questions. i will mark u as

tiny-mole [99]

Ok, so the question is based on geometric progression. Remember, the formula for calculating the nth-term of a geometric progression is: $a*r^{n-1}$ . The a in the expression stands for the 1st term of the sequence, and r is the common ratio of the elements of the sequence. Now let's take a look at the problem.

"A ping pong ball has a 75% rebound ration". We can infer that our common ratio, r, is 75% which is 0.75.

"When you drop it from a height of k feet...", this means the first height you drop it from, a.k.a, the first term.

Now going back to the expression, the nth-term = $a*r^{n-1}$ , we can substitute our common ration, 0.75 with r, and our 1st term, k, with a. This becomes: $k * 0.75^{n-1}$ . This becomes our expression.

a. The highest height achieved by the ball after six bounces. Our nth-term here is 6, so let's use our expression to find the 6th term. $n_{6} = 235 * 0.75^{6-1} = 235*0.75^{5} = 235*0.2373 = 55.7655ft$

b. The total distance travelled by the ball when it strikes the ground for the 12th time. This involves the use of the sum of elements in the geometric progression. The formula for that is $\frac{a(1 - r^{n})}{1-r}$ , provided that r is less than 1, which it is in this case, since 0.75 is less than one. Our nth-term here is 12, so we substitute.

$\frac{235(1-0.75^{12})}{(1-0.75)} = 910.2242ft$

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2 years ago

Identify the slope and y-intercept of the function y=11x+6

balu736 [363]

The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Find the values of m and b using the form y=mx+b y = m x + b . The slope of the line is the value of m , and the y-intercept is the value of b .

Step-by-step explanation:

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2 years ago

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What is the least common multiple of 15 and 8?

Arturiano [62]

O get the Least Common Multiple (LCM) of 15 and 8 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:

<span><span>15: 35</span><span>8: 222 </span><span>LCM: 22235</span></span>

<span>The Least Common Multiple (LCM) is: 2 x 2 x 2 x 3 x 5 = 120</span>

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3 years ago

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kupik [55]

Answer:

1536² mm

Step-by-step explanation:

16 x 16 = 256

256 x 6 = 1536 (6 = number of faces)

1536²mm

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2 years ago