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nikdorinn [45]
3 years ago
12

Louie is trying to find a rectangular canvas for his art project. Its height

Mathematics
1 answer:
Maru [420]3 years ago
8 0

The length of the diagonal of the canvas is approximately 27 degrees.

The height of the rectangular canvas must reach 18 inches. It must form a 48 degrees angle with the diagonal at the top of the canvas.

<h3>Length of the diagonal Canvas</h3>

Therefore, the length of the diagonal can be found as follows:

Using trigonometric ratio,

  • cos ∅ = adjacent / hypotenuse

where

∅ = 48°

adjacent side = Height of the rectangle = 18 inches

hypotenuse = Length of the diagonal

Therefore,

cos 48° = 18 / h

cross multiply

h = 18 / cos 48°

h = 18 / 0.66913060635

h = 26.9005778976

length of the diagonal ≈ 27 inches

learn more on rectangle here: brainly.com/question/26099609?referrer=searchResults

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7th grade math, shouldn't be this hard.
Temka [501]

Answer:

x = 12

Step-by-step explanation:

Step 1: Add 9 to both sides.

  • 7x - 9 + 9 = 75 + 9
  • 7x = 84

Step 2: Divide both sides by 7.

  • \frac{7x}{7} = \frac{84}{7}
  • x = 12

Step 3: Check if solution is correct.

  • 7(12) - 9 = 75
  • 84 - 9 = 75
  • 75 = 75

Therefore, x = 12.

4 0
2 years ago
Read 2 more answers
If the coefficient of determination is 0.25 and the sum of squares residual is 180, then what is the value of SSY?
Gennadij [26K]

Answer:

And then SSY=SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2 =240  

C. 240

Step-by-step explanation:

Previous concepts

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"  

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.

If we assume that we have k independent variables and we have  j=1,\dots,j individuals, we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2  

SS_{regression}=SS_{model}=\sum_{j=1}^n (\hat y_{j}-\bar y)^2  

SS_{error}=\sum_{j=1}^n (y_{j}-\hat y_j)^2 =180  

And we have this property  

SST==SSY=SS_{regression}+SS_{error}=SSR+180

If we solve for SSR we got:

SSR= SSY-180    (1)

And we know that the determination coefficient is given by:

R^2 = \frac{SSR}{SSY}

We know the value os R^2= 0.25 and we can replace SSR in terms of SSY with the equation (1)  

R^2 =0.25= \frac{SSY-180}{SSY}= 1-\frac{180}{SSY}

And solving SSY we got:

\frac{180}{SSY}=1-0.25=0.75

SSY= \frac{180}{0.75}=240

And then SSY=SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2 =240  

C. 240

7 0
3 years ago
Michelle has a maximum of 4500 milliliters  of water for her plants today. Each basil plant requires 350 of water, and each fenn
anyanavicka [17]

The inequality becomes :

350B+525F≤4500

Explanation:

Let the number of basil plants be represented by = B

Let the number of fennel plants be represented by = F

As each basil plant needs 350 ml of water, so B basil plants will need 350*B = 350B ml of water

Similarly, each fennel plant needs 525 ml of water so F fennel plants will need 525*F = 525F ml of water.

And both the plants need to be watered with a maximum of 4500 ml of water.

So inequality becomes: 350B+525F≤4500

6 0
4 years ago
16. f(x) = x^3 + 3x^2-2 and f(- 1) = 0. If g(x)=f^-1* (x) the value of g^prime (0) is ( A) - 1/3 (B) - 1/4 (C ) -3 (D) nonexiste
jekas [21]
The answer is 16.F(x)^3+3x^2-2
5 0
3 years ago
Which is a better deal: a 12-ounce soft drink for $1.59 or a 16-ounce soft drink for a 1.99
REY [17]
The 16-ounce soft drink for $1.99 is better because it may be 40 cents more but it's also bigger :)
7 0
3 years ago
Read 2 more answers
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