An 85-foot wire is tied from the top of a utility pole to the top of the building as shown below. Find d, the distance from the pole to the building.
The distance from the pole to the building is 79 feet
The relationship between the utility pole and the 85-foot wire, can be adjusted to fit in the description of a right-angled triangle.
So, the distance (d) can be calculated using the following sine function.
[tex]\sin(68) = \frac{d}{85}[/tex]
Multiply both sides of the equation by 85
[tex]85 \times \sin(68) = \frac{d}{85} \times 85[/tex]
Cancel out the common factors
[tex]85 \times \sin(68) = d[/tex]
Evaluate sin(68)
[tex]85 \times 0.9272 = d[/tex]
Evaluate the product
[tex]78.812 = d[/tex]
Approximate
[tex]79= d[/tex]
Rewrite the equation
[tex]d = 79[/tex]
Hence, the distance from the pole to the building is 79 feet
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A 1. 00-g sample of a metal x (that is known to form x2+ ions) was added to 0. 100 l of 0. 500 m h2so4. After all the metal had reacted, the remaining acid required 0. 0334 l of 0. 500 m naoh solution for neutralization. Calculate the molar mass of the metal and identify the element.
Answer:
7
Explanation:
reason why is beacuse bannanas
A mouse’s rate of carbon dioxide output increased. Which of the following most likely happened?.
Answer:
Umm, not to like to be annoying but what are the multi choice questions.
Explanation:
Which graph represents a reflection of f(x) = 6(0. 5)x across the x-axis?.
Answer: f(x)=6(0.5)^x
Ahmet is allergic to dogs. While in the toy store he sees a stuffed toy dog and has an allergic reaction. Ahmet’s reaction to the toy best demonstrates the process of.
Considering the situation described above, Ahmet’s reaction to the toy best demonstrates the process of generalization.
The definition of generalization of reactionGeneralization of reaction is a term used to describe the propensity to react similarly to different but related stimuli.
Generalization concept in this situationGiven that Ahmet is allergic to dogs and, at the same time, has an allergic reaction to a stuffed toy dog, this is a form of generalization.
Hence, in this case, it is concluded that the correct answer is "generalization."
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How does the stranger show that he is more aggressive.
Answer:
Tone, behavior, attitude are some ways that people show aggression.
i'm not sure if this is exactly what you're asking for
Explanation:
Who played cleopatra in the caesars sportsbook commercial.
Which of the following non-renewable resources of energy has the smallest amount of fuel left on earth?.
Answer:
Their is no answer choices but Nonrenewable energy resources include coal, natural gas, oil, and nuclear energy.
Explanation:
Which of these might affect how an age-of-consent law.
thiers no choices to chose from.
What should the food worker do to safely thaw the pork.
Answer:
if the pork is in a bag, you can thaw it in a sink, or if it is not in a bag, put the pork in a bag before thawing it in said sink.
Unknown element x has four energy levels, five valence electrons, and is a metalloid. What is element x?.
Answer:
I think the answer is Silicon.
Explanation:
Hope this helps.
All of the following duties are responsibilities of county government officials except __________.
Answer: regulating public service corporations
Explanation: due to it being public
Which of these is not one of the standard placeholders on the handout master?.
The option that is not one of the standard placeholders on the handout master is;
D: Author
The missing options are;
a. Date
b. Header
c. Page Number
d. Author
The Handout Master tab is the tab in Microsoft power point that is used to edit the appearance of presentation handouts which includes the headers, footers, layout and the background. Now, any changes that are made to the handout master will definitely appear on all the pages of the printed copy of the handout. Looking at the options, the only one that doesn't appear as a standard placeholder in handout master is Author.Read more about handout master at; https://brainly.com/question/12327785
The new clients are not responding to our product the way we had hoped. - frankly, i’m hardly with last month’s sales.
Based on the information given, it can be noted that the word that will accurately fit into the sentence will be "beside myself".
Based on the complete information, it should be noted that one cannot use cloud nine, over the moon, or down in the dumps as they do not fit accurately into the sentence.
Therefore, the correct sentence will be that the new clients are not responding to our product the way we had hoped. Frankly, i’m hardly beside myself with last month’s sales.
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Which theme is explored in the selection from the boston girl?.
The power of encouragement.
Explanation:
* By Anita Diamant, "The Boston Girl" is narrated in first-person a girl, Addie.
* Addie feels empowered after Miss Chevalier encourages her by emphasizing her qualities.
* Miss Chevalier takes care of a settlement house in a poor neighborhood, helping families of immigrants.
* She notices that Addie is a good reader and asks her to memorize a poem for a recital.
* She also teaches Addie the importance of knowing the meaning of words and knowing what words apply to oneself.
* For instance, she teaches Addie that she is a girl with "gumption".
*Addie feels seen, strong, and capable
because of Miss Chevalier.
Which of the following costs are relevant to a make-or-buy decision?.
Answer:
im not sure thanks
Explanation:
Which of the following lists includes only organisms composed of cells?.
Answer:
last one
Explanation:
protists, bacteria, plants
A cart with an unknown mass is at rest on one side of a track. A student must find the mass of the cart by using newton’s second law. The student attaches a force probe to the cart and pulls it while keeping the force constant. A motion detector rests on the opposite end of the track to record the acceleration of the cart as it is pulled. The student uses the measured force and acceleration values and determines that the cart’s mass is 0. 4kg. When placed on a balance, the cart’s mass is found to be 0. 5kg. Which of the following could explain the difference in mass?.
Answer:
The track was not level and was tilted slightly downward.
Explanation:
The track was not level and was tilted slightly downward.
Two customers took out loans from a bank. • henry took out a 4-year loan for $5,000 and paid 4. 2% annual simple interest. • ingrid took out a 6-year loan for $5,000 and paid 3. 9% annual simple interest. What is the difference between the amounts of interest henry and ingrid paid for their loans?.
Explanation:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
Considering Henry's loan,
P = 5000
R = 4.2
T = 4 years
I = (5000 × 4.2 × 4)/100 = $840
Considering Ingrid's loan,
P = 5000
R = 3.9
T = 6 years
I = (5000 × 3.9 × 6)/100 = $1170
The difference between the amounts of interest Henry and Ingrid paid for their loans is
1170 - 840 = $330
A scale factor of one-third is used to make a reduction of the original triangle. Original triangle reduced triangle height 12 base 24 what is the base of the reduced triangle? 4 8 9 21.
Answer:
B - 8
Explanation:
The linear scale factor is used to reduce or enhance the size of the original measures. The base of the reduced triangle is 8. Thus, option b is correct.
What is a linear scale factor?The linear scale factor is the reduction or the enlargement of the size like the width, height, base, length, etc. of the geometrical shape.
Given,
The height of the original triangle = 12
The base of the original triangle = 24
The linear scale factor reduces the original size by 1/3 factor.
The 1/3 factor of the base will be = 24 ÷ 3 = 8
Therefore, option b. 8 is the base of the reduced triangle.
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Which statement correctly describes a property of white light.
[tex] \\ [/tex]
It contains different wavelengths of visible light.
Finding dead insects or mouse droppings in the kitchen indicates which of the following.
Finding dead insects or mouse droppings in the kitchen is an indication of pest infestation.
Pest infestation is the occurrence of one or more pest species in an area or location where their numbers and impact are currently or potentially at intolerable levels. It can also be defined as a sudden increase in the population numbers of a pest species in a given area.
Finding dead insects or mouse droppings in the kitchen is an indication of pest infestation.
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At midday, what is happening in the leaf of a plant?.
Which change will decrease the electric force between two positively charged objects?.
A compound is broken down by chemical means during.
Answer:
"broken apart in chemical reactions called decomposition reactions"
Explanation:
So, Compounds can be broken apart in chemical reactions called decomposition reactions. For example, water can be broken down into the diatomic elements hydrogen gas and oxygen gas in a chemical reaction called electrolysis. ... Some compounds undergo thermal decomposition when they are heated
You wish to earn a return of 13% on each of two stocks, x and y. Stock x is expected to pay a dividend of $3 in the upcoming year while stock y is expected to pay a dividend of $4 in the upcoming year. The expected growth rate of dividends for both stocks is 7%. The intrinsic value of stock x.
Based on the information given, the intrinsic value of stock x will be less than the intrinsic value of stock Y.
Based on the information given above, the intrinsic value of Stock X will be calculated thus:
D1 = Dividend in next year = $3
g = growth rate = 7%
r = = 13%
Therefore, intrinsic value of Stock X will be:
= D1 / (r-g)
= 3 / (13% - 7%)
= 3/6%
= 3 / 0.06
= $50
Therefore, the intrinsic value of stock X is $50.
Intrinsic value of Stock Y will be calculated thus:
D1 = $4
g = 7%
r = 13%
Intrinsic value of Stock Y will be:
= D1 / (r-g)
= 4 / (13% - 7%)
= 4/6%
= 4 / 0.06
= 66.67
Intrinsic value of Stock Y is $66.67
Therefore, the intrinsic value of Stock X will be less than the intrinsic value of Stock Y.
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Two congruent squares are shown in figures 1 and 2 below.
Why does nasa publish a different star finder every month?.
Answer:
We see different views of the Universe from where we live as Earth makes its yearly trip around the solar system. That is why we have a different Star Finder for each month, as different constellations come into view.
Red lights on a traffic light have a frequency of 4. 3 x 1015 hz. What is the red light’s wavelength in meters?.
Which of the following illustration do not show congruence.
Congruence simply means harmony or compatibility. The shapes are congruent when they have the same shape and size.
Your information is incomplete. Therefore, an overview of congruence will be given. Two geometric figures are congruent if it's possible to superpose one of them on the other one.
When two similar shapes are placed above each other, and they cover each other, then they are said to be congruent.
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