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3 years ago

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=66°, and EF = 32 feet. Find the length of FD to the nearest tenth of a foot.

Mathematics

1 answer:

Butoxors [25]3 years ago

7 0

Answer:

14.2 ft

Step-by-step explanation:

tan 66° = 32/ FD

FD = 32 / tan 66° = 32 / 2.246 = 14.2

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ikadub [295]

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2 years ago

What does x equal x + 3 ≤ –5 + 2x

Anna [14]

X+3≤ -5+2x

Add 5 to the other side. (the inverse of subtraction, since 5 is negative)

x+8≤2x

Subtract x on both sides.

8≤x <- the answer

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3 years ago

You want to rent a car for the day.Prestige car rentals charges $47 plus $0.07 per mile to rent a midsize vehicle . Gateway Auto

jolli1 [7]

Answer:

240 miles

Step-by-step explanation:

Given that:

Charges offered by Prestige car rentals for renting a midsize vehicle:

Fixed charges = $47

Per mile charges for renting a midsize vehicle = $0.07

Charges offered by Gateway Auto for renting a midsize vehicle:

Fixed charges = $35

Per mile charges for renting a midsize vehicle = $0.12

To find:

Number of miles for which both the companies charge the same price?

Solution:

Let the number of miles for which both the companies will charge the same price = $x$ miles

Charges for one mile by Prestige car rentals = $0.07

Charges for $x$ miles by Prestige car rentals = $0.07 $x$

Total charges by Prestige Car rentals = $47 + $0.07 $x$

Charges for one mile by Gateway Auto = $0.12

Charges for $x$ miles by Gateway Auto = $0.12 $x$

Total charges by Gateway Auto = $35 + $0.12 $x$

As per question statement, the charges are same:

$\$47 + \$0.07x = \$35 + \$0.12x\\\Rightarrow 12=0.05x\\\Rightarrow x=\dfrac{1200}{5}\\\Rightarrow \bold{x=240\ miles}$

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2 years ago

PLS HELP BRAINLIEST FOR CORRECT ANSWER+20 POINTS

svetoff [14.1K]

Answer:

120 blocks total

Step-by-step explanation:

All of the little cubes have side length 2" Thus, the 11" height of the box cannot be used entirely: we waste the top 1" because the five layers of little cubes reach only to 10" from the bottom.

Start at the bottom of the box. The dimensions of the bottom are 12" by 8". Along the longer side we can lay 6 blocks (which add up to 12" and are 2" wide. We can add 3 more such rows to fill the available 8" width of the box bottom. That's 6*4, or 24 blocks.

We can add 4 more 6 block by 4 block layers before we have the maximum 5 layers stacked in the box.

5 layers times 24 blocks per layer comes to 120 blocks total.

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2 years ago

What is an equation for the line with slope 2/3 and 7-intercept 9? 30 points to whoever answers this correctly and gets brainlie

Annette [7]

The equation of the line is y = $\frac{2}{3}$ x + 9

Step-by-step explanation:

The equation of a line in slope-intercept form is y = m x + b, where

m is the slope of the line
b is the y-intercept ⇒ the value of y when x = 0

∵ The line has a slope $\frac{2}{3}$

∴ m = $\frac{2}{3}$

∵ The y-intercept is 9

∴ b = 9

- Substitute the values of m and b in the form of the equation below

∵ y = m x + b

∴ y = $\frac{2}{3}$ x + 9

The equation of the line is y = $\frac{2}{3}$ x + 9

Learn more:

You can learn more about the linear equations in brainly.com/question/12941985

#LearnwithBrainly

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3 years ago