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QveST [7]
3 years ago
7

Two similar triangles are in the ratio 2:3. If the sides of the bigger triangle are 15 units, 12 units and 9 units, then the len

gth of the shortest side of the smaller triangle is
a. 8 units
b. 6 units
c. 9 units
d. 5 units
​
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
6 0

It is 6 units because if you divide 9 by 3 you get 3 and you multiple that by 2 to make it 6:9 which is equal to 2:3

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What is the product of the tens on 14 and 42
BartSMP [9]

Answer:

The product of the tens in these two numbers is 4

Step-by-step explanation:

TO find this, first we need to find the number in the tens place for each of them. The tens place is the second from the decimal point.

14

42

Now we take these two and multiply them together to get the product.

1 * 4 = 4

3 0
3 years ago
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Pls help picture provided
Zanzabum

Answer: second option

Step-by-step explanation:

The standard form of a quadratic equation is:

ax^2+bx+c=0

Then, to write the quadratic equation given in the problem in standard form, you must substract 1 from both sides of the equation. Then you have:

2x^2+5x-1=0

Given the quadratic equation above, to find the value of b^2-4ac  you must substitute:

a=2; b=5 and c=-1 into b^2-4ac

Thenrefore, you obtain the following result:

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3 years ago
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How many people ordered beer?<br><br> *it is not 15
olga55 [171]

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18 people ordered beer.

Step-by-step explanation:

15 + 3 = 18 people

7 0
3 years ago
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If Jim works at Fire Fighting Equipment, has $32,874 in sales in one week,
maria [59]
Gross income= $813.61
Step-by-step explanation:
Giving the following information:
Sales= $32,874
Fixed salary= $452
Commission= 1.1% paid on sales in excess of $25,000.
To calculate the gross income, we need to use the following formula:
Gross income= 452 + y*x
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x= sales
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5 0
2 years ago
You would like to know whether forwards in a basketball league average the same (or different) numbers of points than the overal
Akimi4 [234]

Answer:

The critical t-value for such a test given an alpha level of 0.05 is 2.26

Step-by-step explanation:

Null hypothesis : H_0:\mu = 7.5

Alternate hypothesis :H_a:\mu \neq 7.5

Population mean = \mu = 7.5

Data : 10, 9, 6, 11, 13, 14, 9, 9, 9, and 10

Mean = \bar{x}=\frac{\text{Sum of all observations}}{\text{no. of observations}}

Mean =\frac{10+9+6+11+13+14+9+9+ 9+ 10}{10}

Mean =10

Standard deviation : \sqrt{\frac{\sum(x-\bar{x})^2}{n}}

Standard deviation :\sqrt{\frac{(10-10)^2+(9-10)^2+(6-10)^2+(11-10)^2+(13-10)^2+(14-10)^2+(9-10)^2+(9-10)^2+(9-10)^2+(10-10)^2}{10}}

Standard deviation s :2.144

t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}t = \frac{10-7.5}{\frac{2.144}{\sqrt{10}}}t=3.687

Df = n-1 = 10-1 = 9

T critical =t_{(df,\alpha)}=t_(9,0.05)=2.26

T calculated > T critical

So, We failed to accept null hypothesis

Hence the critical t-value for such a test given an alpha level of 0.05 is 2.26

5 0
3 years ago
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