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4 years ago

Dimitri drew a right angle. Then he drew an angle that was 20° larger. What is the measure of the second angle Dimitri drew?

Mathematics

2 answers:

marysya [2.9K]4 years ago

4 0

Right angle is 90 degrees. 90 + 20 = 110 degrees

seraphim [82]4 years ago

4 0

The measure would be 110º because a right angle is 90º, and if the angle is 20º larger, you add 90º + 20º and you get 110º

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Each Turbine can produce 10kW an hour. How much can these 4 produce in 1 day?

VLD [36.1K]

Answer:

Step-by-step explanation:

10kw/h in a day it will be

10kw*24h=240kw/day

240*4=960 kw/ day for 4 turbines

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3 years ago

A baker can bake 8 dozen cookies in 20 minutes. At this rate, how many minutes will it take to make 30 dozen cookies?

Viktor [21]

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4 years ago

A factory is to be built on a lot measuring 210 ft by 280 ft. A local building code specifies that a lawn of uniform width and e

Tresset [83]

Answer:

Width of lawn = 35 ft

Dimensions of factory = length: 210 ft, width: 140 ft

Step-by-step explanation:

The total area of the lot can be calculated as:

$A_{lot} = 210 * 280\\A_{lot} = 58800 ft^{2}$

Since, the area of factory should be equal to area of lawn:

$A_{lot} = A_{factory} + A_{lawn}\\58800 = 2 A_{factory or lawn}\\\\A_{factory or lawn} = \frac{58800}{2}\\A_{factory or lawn} = 29400 ft^{2}$

Now, let 'x' be the width of lawn, the dimensions of factory can be written as:

$(210-2x)\\(280-2x)\\$

Since, area is equal to length x width:

$(210-2x)*(280-2x) = 29400\\Simplifying:\\210*280 - 210*2x - 2x*280 + 4x^{2} = 29400\\58800 - 420x - 560x +4x^{2} = 29400\\4x^{2} - 980x +58800 = 29400\\4x^{2} - 980x + 29400 = 0\\$

Divide whole equation by 4,

$x^{2} - 245 + 7350 = 0\\$

Solving above quadratic equation, we get,

$x = 210\\x = 35\\$

x = 35 seems realistic width of the lawn.

Now, finding the dimension of factory:

$(210-2x) = 210 - 2(35) = 140 ft\\(280-2x) = 280 - 2(35) = 210ft$

We can also reconfirm the area of factory by multiplying the above two lengths:

140 * 210 = 29400 ft

8 0

3 years ago

O ZA Round your answer to the nearest hundredth. 8 с B ? 2 А

almond37 [142]

Answer:

75.96 Degrees

Step-by-step explanation:

Use the trigonometric functions of Sine Cosine and Tangent

(SOH CAH TOA)

The unknown angle is near the adjacent side of 2 and the opposite side of 8

Therefore you use the Tangent function

However, since it's the angle that needs to be found, you need to use Arc Tangent (The inverse operation)

Unknown Angle = ArcTan (8 / 2)

Unknown Angle = 75.96 Degrees

Note: ArcTan is just Tan to the power of -1

On my calculator I have to click shift then click the tan function to access this it may be different on yours

5 0

3 years ago

hichkok12 [17]

Answer:

c) 11/2

Step-by-step explanation:

(-4, 7) and (-6, -4)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 7) / (-6 - (-4))

Simplify the parentheses.

= (-11) / (-6 + 4)

= (-11) / (-2)

Simplify the fraction.

-11/-2

= 11/2

This is your slope.

Hope this helps!

4 0

3 years ago