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elena55 [62]
3 years ago
11

The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the tria

ngle? 2 units 6 units Square root of 12 units Square root of 20 units
Mathematics
2 answers:
inysia [295]3 years ago
6 0
The other leg of the units is 2
Nikolay [14]3 years ago
3 0
For any right triangle
if the legs of the traingle are a and b and the hyptonuse is c then
a²+b²=c²

given

a leg is 2
hypotnuse is 4

lets say a=2
c=4

2²+b²=4²
4+b²=16
minus 4 both sides
b²=12
sqrt both sides
b=√12
answer is √12 units
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Perfect Pies charges $6 for an apple pie.
Aloiza [94]

Answer:

6 * p ≤ 30

p  ≤ 5

The maximum number of pies she can buy is 5

Step-by-step explanation:

Let p equal the number of pies she will buy

Each pie costs 6 dollars.  She will spend 6 * p

The cost must be less than or equal to 30 dollars

6 * p ≤ 30

To solve divide each side by 6

6 * p/6 ≤ 30/6

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3 years ago
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A giraffe can run up to 46.93 feet per second.how far could a giraffe run in 1.8 seconds? Justify your answer.
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if they run 46.93 in 1 second multiply that by 1.8

46.93 x 1.8 = 84.474 feet

round the answer as needed

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3 years ago
Meg and her mother are opening a cupcake shop. They buy an oven, a walk-in cooler, and a decorating table. In terms of factors o
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8 0
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Solve the compound inequality & graph solution set: -3x-2>5 and 5x-1≤-21.
valentinak56 [21]
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3 years ago
Please answer this question based on the following data. SSTR = 6,750 H0: μ1= μ2=μ3=μ4 SSE = 8,000 Ha: at least one mean is diff
Nookie1986 [14]

Answer:

P_v =P(F_{3,16}>4.5)=0.0180

So on this case the best option for the answer would be:

between .01 and .025

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have 4 groups and on each group from j=1,\dots,5 we have 5 individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2  

SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2 =6750  

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2 =8000  

And we have this property  

SST=SS_{between}+SS_{within}=6750+8000=14750  

The degrees of freedom for the numerator on this case is given by df_{num}=k-1=4-1=3 where k =4 represent the number of groups.

The degrees of freedom for the denominator on this case is given by df_{den}=df_{between}=N-K=20-4=16.

And the total degrees of freedom would be df=N-1=20 -1 =19

We can find the MSR=\frac{6750}{3}=2250

And MSE=\frac{8000}{16}=500

And the we can find the F statistic F=\frac{MSR}{MSE}=\frac{2250}{500}=4.5

And with that we can find the p value. On this case the correct answer would be 3 for the numerator and 16 for the denominator.  

P_v =P(F_{3,16}>4.5)=0.0180

So on this case the best option for the answer would be:

between .01 and .025

6 0
3 years ago
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