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zavuch27 [327]
2 years ago
10

What is the value of y? Plz helppp someone

Mathematics
1 answer:
Mkey [24]2 years ago
7 0

Answer:

y = 55 degrees.

Step-by-step explanation:

the angles of a triangle add up to 180 degrees, so

40 + y + y + 30 = 180

2y = 180 - 70

2y = 110

y = 55.

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Find X.<br> Round to the nearest tenth.<br><br> Law of Cosines : c2 = 22 + b2 - 2ab cos C
fiasKO [112]

Answer:

70.5°

Step-by-step explanation:

22² = (20)²+(18)² - 2(20)(18) cos X

484 = 400 + 324 - 720 cos X

-240 = -720 cosx

1/3 = cos X

cos^{-1}(\frac{1}{3}) = X

X = 70.52877937

7 0
2 years ago
Marisa wants to buy a quality phone for least $200.She has already saved $125 and plans to save an additional $10 each week.Writ
eduard

Answer:

The inequality can be represented as:

10w+125\geq200

where w represents the number of weeks in which Maria will be able to buy a phone  for least $200.

On solving it we get : w\geq 7.5

Step-by-step explanation:

Given:

Maria wants to buy a phone for at least $200.

She has savings of $125.

She plans to save $10 every week.

To write an inequality for the situation.

Solution:

Let the number of weeks in which Maria will be able to buy a phone be = w

If she saves $10 each week.

Then, in w weeks she will save in dollars = 10w

She already has savings = $125

So her total savings in w weeks in dollars will be = 10w+125

She wants to buy a phone for at least $200.

Thus, the inequality can be represented as:

10w+125\geq200

Solving for w

Subtracting both sides by 125.

10w+125-125\geq 200-125

10w\geq 75

Dividing both sides by 10.

\frac{10w}{10}\geq \frac{75}{10}

w\geq 7.5

Thus Maria needs at least 7.5 weeks to be able to buy a phone for atleast $200.

5 0
3 years ago
In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti
kipiarov [429]

Answer:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

Step-by-step explanation:

Linear regression is a way "to modeling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables)".

Regression estimates are "used to describe data and to explain the relationship between one dependent variable and one or more independent variables"

The linear model is given by the following equation Y=mx +b, where y is the dependent variable, x the independent variable, m the slope and b the intercept.

For this case we have the following info given:

\sum_{i=1}^n (x_i -\bar x)^2 =98775

\sum_{i=1}^n (y_i -\bar y)^2 =19.4

\bar x =26.36

\bar y =0.5188

n= 40  represent the sample size

\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y) =796.94

The total sum of squares is given by this formula:

SST= \sum_{i=1}^n (y_i -\bar y)^2 =19.4

And from the formulas for a simple regression, we need to calculate the slope for the regression like this:

m=\frac{\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)}{\sum_{i=1}^n (x_i -\bar x)^2}

And if we replace the values given we have:

m=\frac{796.94}{98775}=0.008068

We have another useful equation in order to find the sum of squares for the regression, given by:

SSR=m* \sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)=0.008068*796.94=6.430

And we know this equivalence:

SST= SSR+SSE

And solving for the sum of squares for the error we have:

SSE=SST-SSR=19.4-6.430=12.97

So then we have the final solutions:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

6 0
3 years ago
Jayden buys a game for $10.67 and some batteries for $5.14 he pays with a twenty dollar bill estimate how much change he should
natima [27]

Answer:

4.19

Step-by-step explanation:

If rounded to the nearest dime 4.20

nice

5 0
3 years ago
Gail is 6 years younger than Mark.Let m= Mark’s age which expression equals Gail’s age?
OLEGan [10]
The answer is C M-6
3 0
3 years ago
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