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swat32
2 years ago
6

Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. Wh

en he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups?
150 minutes
160 minutes
170 minutes
180 minutes
Mathematics
1 answer:
sertanlavr [38]2 years ago
8 0
The Answer is 160 minutes

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Jacobs sand bucket has a top diameter of 10 inches and a bottom diameter of 7 inches. the bucket is 12 inches tall. What’s the v
Elanso [62]
We know that
The volume of a circular truncated cone=(1/3)*pi*[r1²+r1*r2+r2²]*h
where
r1=7/2-----> 3.5 in
r2=10/2----> 5 in
h=12 in
volume of a circular truncated cone=(1/3)*pi*[3.5²+3.5*5+5²]*12
volume=688 in³

the answer is
688 in³

4 0
2 years ago
If VX = WZ = 40 cm and m∠ZVX = m∠XWZ = 22°, can ΔVZX and ΔWXZ be proven congruent by SAS? Why or why not? Yes, along with the gi
Masja [62]

Answer:

ΔVZX and ΔWXZ are not congruent by SAS by the given information.

No, there is not enough information given.

The additional information for triangle to be congruent by SAS is given below.

Step-by-step explanation:

GIVEN:

1. VX = WZ = 40 cm and

2.m∠ZVX = m∠XWZ = 22°

3. VZ = WX  ......{this additional information is required for triangles is to be congruent by SAS test}

Proof:

In  Δ VZX and Δ WXZ

     VZ ≅ WX           …………..{additional information}

∠ ZVX ≅ ∠ XWZ    ……….{measure of each angle is 22° given}

     VX ≅ WZ          ………….{length of each side is 40 cm given}

Δ ABC ≅ Δ PQR ….{By Side-Angle-Side test}

For SAS test, two sides of the corresponding triangles should be congruent and the angle between the two side. Then the triangles are said to be congruent by side angle side test.

4 0
2 years ago
Read 2 more answers
Horizontal lines e and f are cut by vertical lines a and b. At the intersection of lines a and e, the uppercase right angle is (
Paul [167]

Answer: y=90\°

Step-by-step explanation:

Based on the description given in the exercise, you can draw the horizontal lines "e" and "f" cut by the vertical lines "a" and "b".

By definition, when a horizontal line and a vertical line intersect each other, the angle formed by this intersection measures 90 degrees.

A "Right angle" is defined as an angle that measures 90 degrees.

Therefore, if a vertical line intersects a horizontal line, you can say that they are perpendicular.

You can observe in the image attached that the vertical lines "a" and "b" cut the horizontal lines "e" and "f". Therefore, since a||b and e||f, all the angles formed by this intersections measure 90 degrees.

Therefore, you can conclude that:

y=90\°

4 0
2 years ago
Read 2 more answers
Consider f(x) = 1.8x – 10 and g(x) = −4. Select the equation that can be used to find the input value at which f (x ) = g (x ),
VLD [36.1K]
F(x) = 1.8x - 10.....g(x) = -4

f(x) = g(x)

1.8x - 10 = -4
1.8x = -4 + 10
1.8x = 6
x = 6 / 1.8
x = 3.33 or 3 1/3
6 0
2 years ago
Read 2 more answers
Three-fourths of the difference of a number and 7 is negative fifteen. The number is _______​
Vsevolod [243]

Answer:

x = -13

Step-by-step explanation:

Let the number be x. ATQ,

\dfrac{3}{4}(x-7)=-15

The above equation shows Three-fourths of the difference of a number and 7 is negative fifteen. We need to find the number.

cross multiplying both sides,

3(x-7)=-60\\\\x-7=-20\\\\x=-20+7\\\\x=-13

So, the number is -13.

4 0
2 years ago
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