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4 years ago

I really need help with this

Mathematics

1 answer:

Sedbober [7]4 years ago

3 0

Answer:

A. ∠1 = 105°

B. ∠2 = 105°

C. ∠1 = 105°

Step-by-step explanation:

We are given the angle made by the 4th street with King's Avenue is 75° as shown in the figure below.

Ques A: It is given that, Car travelling west on the 4th street turns towards south on the King's Avenue.

So, the required angle is ∠1.

Since, The sum of angles formed on a straight line is 180°.

Then, ∠1 + 75° = 180° i.e. ∠1 = 180-75 = 105°

Thus, ∠1 = 105°

Ques B: It is given that, Car travelling southwest on King's Avenue and turns right on 3rd street.

So, the required angle is ∠2.

We have, 'Corresponding anges of two parallel lines are equal' and 'The sum of angles formed on a straight line is 180°.

Then, ∠2 + 75° = 180° i.e. ∠2 = 180-75 = 105°

Thus, ∠2 = 105°

Ques C: It is given that, Car travelling northeast on King's Avenue and turns right on 4th street.

So, the required angle is ∠1.

Since, The sum of angles formed on a straight line is 180°.

Then, ∠1 + 75° = 180° i.e. ∠1 = 180-75 = 105°

Thus, ∠1 = 105°

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Gekata [30.6K]

Answer:

it's a

Step-by-step explanation:

we subtract 9 from the 30 in the other side. that makes 21

3x ≤ 21

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that means any answer possible is below 7.

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3 years ago

The ratio of cups of sugar to cups of chocolate chips in a recipe is 2 : 4 if 36 cups of these ingredients are used, how many cu

ololo11 [35]

Data:

$\frac{sugar}{chocolate} = \frac{2}{4}$
cups of these ingredients = 36

Solving:

$\frac{S}{2} + \frac{C}{4} = \frac{36}{6}$

$\frac{S}{2} = \frac{36}{6}$
$6*S = 2*36$
$6S = 72$
$S = \frac{72}{6}$
$\boxed{S = 12}$

$\frac{C}{4} = \frac{36}{6}$
$6*C = 4*36$
$6S = 144$
$C = \frac{144}{6}$
$\boxed{C = 24}$

So:
cups of these ingredients = 36
S+C = 12+24 = 36 (True)

How many cups were sugar ?

$\boxed{Sugar Cups = 12}$

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4 years ago

Compare the size of 1 meter to the size of 1 centimeter. use your meterstick to help.

inn [45]

This seems like a simple conversion problem. 1m=?cm and 1cm=?m.

Since this uses the metric system, you know the general layout of the prefixes: K H D M d c m. I remember this as King Henry died Monday drinking chocolate milk, but as long as you remember it you're good.

Let's look at 1m. Centimeters is two places away from it
K H D (M) d (c) m
This means you move the decimal place to the right two times, so 1 meter is equal to 100 centimeters.

For 1 cm, the meter position is two places away. This means we have to move the decimal place to the left two times. So, 1 centimeter is equal to 0.01 meters.

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3 years ago

A vine maple grows fast when it is planted under the cover of cedar trees. One month after it is planted it has grown 9 inches,

Nataliya [291]

Answer:

$y=\frac{5}{4} x+4$

Step-by-step explanation:

Using y = mx+c

m= $\frac{y^{2}-y^{2}}{x^{2}-x^{1}}$

m= $\frac{14-9}{8-4}$

m= $\frac{5}{4}$

c=y-intercept

The question says that at 8 weeks the maple had grown 14 inches

By using y=mx+c we can find the y-intercept using one of the points as the x and y values and by using the slope

$14=8\times\frac{5}{4} +c$

14=10+c

14-10=10+c-10

4=c

y-intercept = 4

Therefore the full equation is

$y=\frac{5}{4} x+4$

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3 years ago

I need to figure out what is the surface area

vodomira [7]

This is a square-based pyramid

And the formula for the surface area of a pyramid is:
A = Area of base + $\frac{1}{2}$ × Perimeter × slant height
= side² + $\frac{1}{2}$ × P × l
= (6)² + $\frac{1}{2}$ × ( 4 × 6 ) × 8
= 36 + 96
= 132 cm²

Or add the area of each shape
4 triangles
1 square

Area of square = side²
= (6)²
= 36 cm²

Area of one triangle = $\frac{1}{2}$ × base × height
= $\frac{1}{2}$ × 6 × 8
= 24 cm²

Area of four triangles = 4 × area of one triangle
= 4 × 24
=96 cm²

Add both areas:
Area of square + Area of triangles
36 cm² + 96 cm² = 132 cm²

B. 132 cm²

4 0

4 years ago

Read 2 more answers