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son4ous [18]
4 years ago
5

Divide 33 in the ratio 3:8

Mathematics
2 answers:
KATRIN_1 [288]4 years ago
8 0

Answer:

9 and 24

Step-by-step explanation:

Recall that for a given number A and the given ratio x : y, the two parts having the ratio x : y is (xA) / (x + y) and (yA) / (x + y).

Given A = 33, x = 3, y = 8,

  • (xA) / (x + y) = (3*33) / (11)
  •                    = 99/11
  •                    = 9

And,

  • (yA) / (x + y) = (8*33) / (11)
  •                    =  264/11
  •                    = 24

Hence, the parts are 9 and 24 respectively.

White raven [17]4 years ago
4 0

Answer: 9:24

Step-by-step explanation: 9:24= 3:8 (using multiples of 3) and add up 24+9=33

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Find the total surface area of this triangular prism base=5cm 9cm line in the middle 12cm width=20cm 2 lengths on triangle 13cm
nikklg [1K]

We have been given an image of a triangular prism. We are asked to find the total surface area of the the prism.

The total surface area of the prism wold be sum of areas of all faces.

First of all, we will find the area of base and other two rectangles on sides.

\text{Area of base}=(5+9)\times 20

\text{Area of base}=14\times 20=280

\text{Area of other two rectangular faces}=15\times 20+13\times 20

\text{Area of other two rectangular faces}=300+260

\text{Area of other two rectangular faces}=560

Now we need to find the area of two triangular faces.

\text{Area of other two triangular faces}=2\times \frac{1}{2}\times (5+9)\times 12

\text{Area of other two triangular faces}=14\times 12

\text{Area of other two triangular faces}=168

\text{Total surface area}=280+560+168

\text{Total surface area}=1008

Therefore, the total surface area of the prism is 1008 square cm.

5 0
4 years ago
Kirti knows the following information from a study on cold medicine that included 60 participants: 30 participants in total rece
GalinKa [24]
The frequency table is attached.

Since there were 30 people out of the 60 that received cold medicine, that means that 60-30=30 people did not.

Since 26 people had a cold longer than 7 days, this means 60-26=34 had a cold that was less than or equal to 7 days.

14 people had a cold longer than 7 days and received medicine; this means that 26-14=12 people had a cold longer than 7 days and did not receive medicine.

30-14=16 people received medicine and had a cold less than or equal to 7 days.

30-12=18 people did not receive medicine and had a cold less than or equal to 7 days.

4 0
4 years ago
|8m| = 104 absolute value
DENIUS [597]

Answer:

m=13

Step-by-step explanation:

Ok

l8ml=104

8m=104

⁻⁻⁻  ⁻⁻⁻

8        8

m=13

6 0
4 years ago
A state map has a circle-shaped compass. If the radius of the compass is 15 millimeters, what is the approximate area of the com
GuDViN [60]
The area of a circle by definition is given by:
 A = pi * r ^ 2
 Where,
 r: radius
 Substituting the values we have:
 A = (3.14) * (15) ^ 2
 A = 706.5 mm ^ 2
 Answer:
 The approximate area of the compass is:
 A = 706.5 mm ^ 2
8 0
3 years ago
Find the midpoint between (12,5) and (2,5)
posledela

(7,5)

Step-by-step explanation:

Let (12,5) = (x1,y1) and (2,5) = (x2,y2)

By using Midpoint formula,

(\frac{x1 + x2}{2} ) \:  \:  (\frac{y1 +y2 }{2})

( \frac{12 + 2}{2}) \:  \:  \:  (\frac{5 + 5}{2} )

( \frac{14}{2} ) \:  \: ( \frac{10}{2} )

= (7,5)

7 0
2 years ago
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