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malfutka [58]
3 years ago
6

At 10 am, a building casts a shadow that is 98 feet long. At the same time, a 5 feet tall man casts a shadow that is 4 feet long

. Find the height of the building.
Mathematics
2 answers:
Zina [86]3 years ago
7 0
The height of the building is around 122 feet
Anastaziya [24]3 years ago
3 0
Ratio and proportion


height:shadow=5:4

so

given that the shadow is 98 ft
the height of the building is?
?:98=5:4
?/98=5/4
times both sides by 98
?=490/4
?=122.5ft

te height of the building is 122.5ft
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The cost of 5 hats and 1 scarf is $47. The cost of 2 hats and 2 scarves is $40. How much does one hat cost?
stepan [7]

Answer:

6.75

Step-by-step explanation:

h=hat, s=scarf

5h + 1s = $47 (equation 1)

2h + 2s = $40 (equation 2)

multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)

equation 3 minus equation 2, we get:

8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75

substitute h = $6.75 into equation 2 to find s,

2($6.75) + 2s = $40

$13.5 + 2s = $40

2s = $26.5

s = $13.25 ⇔ 1 scarf cost $13.25

6 0
2 years ago
Find two additional roots of P(x)=0.<br><br> 13+sqrt 3 and 7i
vova2212 [387]
So, x = 13, x = √3 and x =7i.

now, recall that for an EVEN radical, there are two possible roots, namely is say √3 is say hmmm some value "a", that means that a*a = √3, however, -a*-a is also √3, therefore, ±√3 are two valid values, and therefore -√3 is another one.

now.... keep in mind that, complex solutions or roots, never come all by their lonesome, their sister is always with them, the conjugate, so, for 7i or namely 0 + 7i, her sister is always around, 0 - 7i, which is the other root.
4 0
3 years ago
Which stem-and-leaf plot has a median of 3.2<br><br><br><br> page.2
DiKsa [7]
Find the median of each set:-

Median is middle number of a data set. If a data set has an odd number of numbers then the median is the middle number when ordered form least to greatest but if its an even number you have to find the mean for the middle 2 numbers when ordered for least to greatest. 

A.

1.2, 2.4, 3.2, 3.2, 3.6, 4.0, 4.1, 4.7

Even numbers = 8
3.2 + 3.6 = 6.8
6.8 ÷ 2 = 
Median = 3.4
So this shows that A isn't the answer because the median of A is 3.4, not 3.2. 

B.

1.6, 2.8, 2.9, 3.1, 3.3, 3.6, 4.2, 4.5

Even numbers = 8
3.1 + 3.3 = 6.4
6.4 ÷ 2 = 3.2
Median = 3.2
<span>So this shows that B is the answer because the median of B is 3.2.

C. 

1.8, 2.0, 2.0, 2.2, 3.2, 4.7, 4.8, 4.9
</span>
Even numbers = 8
2.2 + 3.2 = 5.4
5.4 ÷ 2 = 2.7
Median = 2.7
<span>So this shows that C isn't the answer because the median of C is 2.7, not 3.2.
</span>
D. 

1.4, 1.7, 2.9, 3.0, 3.1, 3.2, 3.2, 3.2, 4
Odd numbers = 9
Median = 3.1

<span>So this shows that D isn't the answer because the median of D is 3.1, not 3.2.
</span>
The stem and leaf plot which median is 3.2 is B.
5 0
2 years ago
What is the volume of the cone? Use π ≈ 3.14. 12.56 cubic units 18.84 cubic units 20.93 cubic units 25.12 cubic units
HACTEHA [7]

Answer:

volume of cone = 12.56 cubic units

Step-by-step explanation:

Volume of cone = 1/3  π r² h

            r = 2

            h = 3

then

V= 1/3 3.14 * (2) ² 3

 = 12.56 cubic units

4 0
3 years ago
A city received 2 inches of rain each day for 3 days. the meteorologist said that if the rain had been snow , each inch of rain
muminat
30 inch of snow that day
3 0
3 years ago
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