Answer:
C. 1307 ft
Step-by-step explanation:
Given:
Angle = 48.4 degrees
Height, opposite side= 1472 feet
his distance from the Empire State Building, base=x
Now as per the trigonometric ratios:
Tan∅= Opposite/base
tan(48.4)= 1472/x
x=1472/(1.13)
x=1302.65
his distance from the Empire State Building is 1302.65 feet!
Answer:
Step-by-step explanation:
To find the slope of the given line, slope is the rise divided by the run of a line.
Slope = 
Picking points (4, 18) and (8, 12)
Now;
x₁ = 4
y₁ = 18
x₂ = 8
y₂ = 12
Slope = 
= 
=
The answer is 10.6 cubic inches.
The formula for a volume of the cone is V = 1/3 π r² h,
where:
V - the volume of the cone,
<span>r - radius of the cone base,
</span>h - height of the cone.
It is given:
h = 4.5 in
r = 1.5 in.
π = 3.14
If:
<span>V = 1/3 π r² h,
</span>Then:
V = 1/3 × 3.14 × (1.5 in)² × 4.5 in
V = 1/3 × 3.14 × 2.25 × 4.5 in³
V = 10.6 in³
Therefore, Judy's sugar cone can hold 10.6 <span> in³.</span>
Answer: ? 60-3^2 is 60-9 so that’s 51 and 8+11 is 19
Step-by-step explanation:
Using it's concept, the interval that contains the median number of characters is: 30 - 40.
<h3>What does the histogram shows?</h3>
The problem is incomplete, but researching it on a search engine, we have that:
- She had 3 messages between 0 and 10 characters.
- She had 1 message between 10 and 20 characters.
- She had 1 message between 20 and 30 characters.
- She had 2 messages between 30 and 40 characters.
- She had 1 message between 60 and 70 characters.
- She had 1 message between 100 and 120 characters.
<h3>What is the median of a data-set?</h3>
The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
In this problem, we have a data-set of 9 elements, hence the median is the 5th element, as:
- The first half is composed by the first four elements.
- The second half is composed by the last four elements.
The fifth element of the histogram is in the interval 30-40, which is the interval that contains the median.
More can be learned about the median of a data-set at brainly.com/question/23923146
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