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3 years ago

A tank is being filled with water using an old

1 answer:

6 0

<span>Found a similar problem with the given table.

Elapsed time (Minutes) 0 10 20 30 40 50 60 70 80 90
Rate (gallons / minute) 42 40 38 35 35 32 28 20 19 10

Because the interval is every 10 minutes, we will use 10 and multiply it to each rate and get the sum total.

42*10 + 40*10 + 38*10 + 35*10 + 35*10 + 32*10 + 28*10 + 20*10 + 19*10 + 10*10
420 + 400 + 380 + 350 + 350 + 320 + 280 + 200 + 190 + 100
2,990

There will be a total of 2,990 gallons in the tank after 90 minutes. </span>

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Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral.

Nadusha1986 [10]

Here is a reference to the Inscribed Quadrilateral Conjecture it says that opposite angles of an inscribed quadrilateral are supplemental.

Explanation:

The conjecture, #angleA and angleC# allows us to write the following equation:

#angleA + angleC=180^@#

Substitute the equivalent expressions in terms of x:

#x+2+ x-2 = 180^@#

#2x = 180^@#

#x = 90^@#

From this we can compute the measures of all of the angles.

#angleA=92^@#

#angleB=100^@#

#angleC=88^@#

<span>#angleD= 80^@#</span>

4 0

3 years ago

Given that f(x)=x^2-7x-1, g(x)=2x-3, and h(x)=4x-5 find each function. (f+g)(x)

Alexxandr [17]

Answer:

x^2-7x-1+2x-3

x^2-5x-4

5 0

3 years ago

Tim looks up at the top of a tree at an angle of elevation of 40 degrees. If heis 5 ft tall and 10 ft from the tree, how tall is

dolphi86 [110]

<h2>Answer:</h2>

13.391 ft

<h2>Explanations:</h2>

The schematic diagram of the given question is shown below;

The height of the tree is expressed as:

H = h +5

Determine the value of h using the SOH CAH TOA identity

$\begin{gathered} tan\theta=\frac{opposite}{adjacent} \\ tan40^0=\frac{h}{10} \\ h=10tan40 \\ h=10(0.8391) \\ h=8.391ft \\ \end{gathered}$

Determine the height of the tree

$\begin{gathered} H=h+5 \\ H=8.391+5 \\ H=13.391ft \end{gathered}$

Hence the height of the tree is 13.391ft

3 0

1 year ago

Can someone please help? ^^ <3<br><br> y=-1/2x+7/2<br> in standard form! <3

Marina CMI [18]

Answer:

2y = -x + 7

Step-by-step explanation:

y = -1/2x + 7/2 (Multiply by 2)

2y = -x + 7

6 0

2 years ago

Let d(t) be the total number of miles Joanna has cycled, and let t represent the number of hours after stopping for a break duri

katrin [286]

For this case we have the following equation:
$d (t) = 12t + 20
$
The variables are:
t: time in hours
d (t): distance traveled in miles.
We evaluate the distance traveled after 4 hours.
So we have that for t = 4:
$d (4) = 12 (4) +20

d (4) = 48 + 20

d (4) = 68$
Answer:
d (4) = 68
This means that after 4 hours Joanna cycled for 68 miles total

6 0

3 years ago

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