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nirvana33 [79]
2 years ago
8

Roof trusses often use right triangles to make a flimsy 2 × 4 more rigid to hold up the weight of the roof. If a house is 40 fee

t wide and the roof is an isosceles triangle with base angles of 30 degrees, how far is it from the bottom edge of the roof to the peak?
Mathematics
1 answer:
masha68 [24]2 years ago
4 0
The side length would be 23.094010767585
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A scale model of a city has a scale of 1 cm : 2.5 km. Two buildings in the model are 1.7 cm apart. To the nearest tenth of a kil
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This is the concept of linear proportionality, we are required to calculate the actual length between two buildings which have a distance of 1.7 cm when drawn to scale of 1 cm: 2.5 km. This can be calculated as follows;
actual distance= (distance on the map)*(scale factor)
actual distance=1.7*2.5=4.25 km

The answer is 4.25 km
4 0
3 years ago
How do you factorise 20w2y+24wy3
Lilit [14]
20w^2y+24wy^3=4wy(5w+6y^2)
5 0
3 years ago
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The equation of a line with slope m= - 1/4 and including point (-3, 5) is y= - 1/4 x - 4.
raketka [301]

Answer:

False

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = - \frac{1}{4}, hence

y = - \frac{1}{4} x + c ← is the partial equation

to find c substitute (- 3, 5) into the partial equation

5 = \frac{3}{4} + c ⇒ c = \frac{17}{4}

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8 0
3 years ago
1) The table and graph shows the relationship between GPA, X, and SAT score, y.
Artist 52 [7]

The statement (A), statement (B), statement (D) are correct because the equation is y = 437.9x + 439.4

<h3>What is the line of best fit?</h3>

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

From the data given, we can calculate the correlation coefficient, slope of the line, and y-intercept.

r = 0.90

Since r is close to 1 shows a strong correlation.

Slope of the line of best fit = 437.9

Y-intercept of line of the best fit = 439.4(Refer to the attached picture)

The line will be:

y = 437.9x + 439.4

Thus, the statement (A), statement (B), statement (D) are correct because the equation is y = 437.9x + 439.4

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

6 0
1 year ago
What is the LCM of 42 and 63?<br><br> Please show work! I'm very confused and don't understand.
Brums [2.3K]

Answer:

LCM of 42 and 63 is 126.

Step-by-step explanation:

Find the prime factorization of 42

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63 = 3 × 3 × 7Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 3 × 3 × 7LCM = 126

8 0
2 years ago
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