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2 years ago

On a piece of paper, use a protractor to construct a triangle with angle measures of 30° and 40°.

Mathematics

2 answers:

vova2212 [387]2 years ago

6 0

Step-by-step explanation:

The answer is b. an obtuse. This is because if it were a right-angled triangle, then 90 + 30 + 40 would equal 180 and it doesn't. It's obtuse because 30 + 40 = 70, and triangles have to add up to 180° so the last angle would need to be 110°, which is an obtuse angle. I hope this helps!

tatyana61 [14]2 years ago

3 0

An angle smaller than 90° is gonna be a acute so your answer is gonna be acute

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Solve 10e^2x - 5 =23^x for x.

yawa3891 [41]

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2 years ago

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Let x represent the amount of frozen yogurt (in hundreds of gallons) sold by the G&T restaurant on any day during the summer

musickatia [10]

Answer:

a) The probability of selling less than 100 gallons (x≤1) is P=0.16.

b) The mean number of gallons is M=80 gallons.

Step-by-step explanation:

The probability of selling x, in hundred of gallons, on any day during the summer is y(x)=0.32x, in a range for x from [0;2.5].

The probability of selling less than 100 gallons (x≤1) is then:

$P(x\leq1)=\int_0^{100}0.32x\cdot dx\\\\P(x\leq1)=0.16(x_b^2-x_a^2)\\\\P(x\leq1)=0.16(1^2-0^2)=0.16$

The mean number of gallons can be calculated as:

$M=\int_0^{2.5}(y(x)/x)\cdot dx=\int_0^{2.5}(0.32)\cdot dx\\\\M=0.32(x_b-x_a)=0.32(2.5-0)=0.32*2.5=0.8$

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2 years ago

What IS 20 divided by 13 ?

goldenfox [79]

$Solution,\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{20}{13}=1\frac{7}{13}$

$Steps:$

$\frac{20}{13}$

$\mathrm{Long\:Division}\:\frac{20}{13}:\quad 1\quad \mathrm{Remainder}\quad \:7$

$Convert\:to\:mixed\:number:\:Quotient\frac{Remainder}{Divisor},\\\frac{20}{13}=1\frac{7}{13}$

$Hope\: This\: Helps!!!$

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3 years ago

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djyliett [7]

Answer:

Step-by-step explanation:

Assuming this is in degrees, it is actually 0.

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Eden just bought a trough in the shape of a rectangular prism for her horses. She needs to know what volume of water to add to t

notsponge [240]

The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let w represent the width, hence:

length = w + 33, height = w - 13

Volume (V) = w(w + 33)(w - 13) = w³ + 20w² - 429w

V(w) = w³ + 20w² - 429w

Rate of change = dV/dw = 3w² + 40w - 429

When w = 38, dV/dw = 3(38)² + 40(38) - 429 = 5423

When w = 53, dV/dw = 3(53)² + 40(53) - 429 = 10118

Rate = 10118 - 5423 = 4695 in³/in

The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in

Find out more on equation at: brainly.com/question/2972832

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