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Lubov Fominskaja [6]
3 years ago
10

HELP ME PLZZZZZZZZZZ

Mathematics
1 answer:
kogti [31]3 years ago
7 0

Answer:

In both cases, we have similar figures.

This means that the shape of the figures is the same, but the size is different:

PQST is similar to STNR and to NRPQ

VUYZ is similar to YZWX and to VUWX

this means that, for example, in problem 18, the ratio between ST and NR must be the same as the ratio between PQ and ST. This happens because the measure increases by the same scale factor.

With this in mind, we can solve the problem:

18)

ST = 7.5

NR = 5.5

Then the quotient ST/NR is:

ST/NR = 7.5/5.5

And, as we said above:

PQ/ST = ST/NR

PQ/7.5 = 7.5/5.5

PQ = (7.5/5.5)*7.5 = 10.23

19) Here we should have:

YZ/VU = WX/YZ

Then:

22.9/35 = WX/22.9

(22.9/35)*22.9 = WX = 14.98

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A cylinder has a volume of 198 and base has an area of 22 what is the height o the cylinder
Mumz [18]

Answer:

Step-by-step explanation:

The base of the cylinder is in the shape of a circle:

Area of the base=\pi *r^2

For Base area=22 square units

22=\pi *r^2

      22=3.14*r^2\\r^2=22/3.14\\r^2=7.01\\r=\sqrt{7.01}

Volume of the cylinder=\pi *r^2*h

For volume '198 cubic units' the height(h) is:

       198=\pi *r^2*h

       198=3.14*(\sqrt{7.01})^2*h

         198=3.14*7.01*h\\\\198=22.01*h\\\\198/22.01=h\\\\h=9 units\\

4 0
3 years ago
Assuming log, 4.4 = 1.4816 and log 7.7 = 2.0142, then whats the value of log, 7/4
denis23 [38]
Log (7/4) is equivalent to log (7.7/4.4), therefore it's log(7.7) - log(4.4), or...

2.0142 - 1.4816 = 0.5326
4 0
2 years ago
Read 2 more answers
If a cup of coffee has temperature 97°C in a room where the ambient air temperature is 25°C, then, according to Newton's Law o
FinnZ [79.3K]

Answer:

The  average temperature  is T_{a} = 81.95^oC

Step-by-step explanation:

From the question we are told that

    The temperature of the coffee after time t is   T(t) =  25 + 72 e^{[-\frac{t}{45} ]}

Now the average temperature during the first 22 minutes i.e fro 0 \to  22minutes is mathematically evaluated as

              T_{a} =  \frac{1}{22-0}  \int\limits^{22}_{0} {25 +72 e^{[-\frac{t}{45} ]}} \, dx

               T_{a} = \frac{1}{22} [25 t  +  72 [\frac{e^{[-\frac{t}{45} ]}}{-\frac{1}{45} } ] ] \left| 22} \atop {0}} \right.

             T_{a} = \frac{1}{22} [25 t  - 3240e^{[-\frac{t}{45} ]} ] \left | 45} \atop {{0}} \right.

              T_{a} = \frac{1}{22} [25 (22)  - 3240e^{[-\frac{22}{45} ]}   - (- 3240e^{0} )]

            T_{a} = \frac{1}{22} [550  - 1987.12  +  3240]

          T_{a} = 81.95^oC

       

8 0
2 years ago
You are making bouquets to sell. You have 60 roses, 84 daisies, and 24 lilies. Each bouquet will have the same number of each ki
laiz [17]
You can make 6 bouquets. Each bouquet will have 10 roses, 14 daisies, and 4 lilies.
The math:
FIND THE GREATEST COMMON FACTOR
60/6=10--->10 ROSES
84/6=14--->14 DAISIES
24/6=4--->4 LILIES

Hope this helped!
7 0
2 years ago
Abdul can type 23 words per minute. Abdul has a 500-word essay to type for his English teacher. How long will it take him to typ
Inga [223]

Answer:

22 minutes. (rounded)

Step-by-step explanation:

Ok so what your going to do is just divde.

You divide and get 21.7

So round it and you will get 22 minutes.

4 0
3 years ago
Read 2 more answers
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