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kirill115 [55]
3 years ago
5

An art teacher uses 1 quart of blue pant each month. in one year, how many gallons of paint will she use?

Mathematics
1 answer:
Bezzdna [24]3 years ago
6 0
1 quart per month = 12 quarts. A quart is a quarter of a gallon, so we must divide by 4 to convert our answer into gallons.
12 divided by 4 = 3. 3 gallons.

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Solve for x on the interval [0, 2pi]<br> Sinx = cosx + 1
lisov135 [29]

Answer:

π

Step-by-step explanation:

Solve for x on the interval [0, 2pi]

Given the equation

Sinx = cosx + 1

Square both sides of the equation

Sin²x = (cos x + 1)²

Sin²x = cos²x + 2cos x + 1

Since Sin²x = 1 - cos²x

1 - cos²x = cos²x + 2cos x + 1

Collect like terms

1-1-cos²x-cos²x-2cos x  = 0

-2cos²x-2cos x = 0

-2cos²x = 2cos x

-cosx = 1

cos x = -1

x = arccos -1

x = 180 degrees

<em>Hence the value of x = π</em>

8 0
2 years ago
Write the equation that is the translation of y=|x| left 1 unit and up 2 units.
inysia [295]
Y = |x| translated 1 unit left and 2 units up gives the equation
y = |x + 1| + 2
8 0
3 years ago
Read 2 more answers
In November, the price of a GizmoPhone was double the price in March. In December, the price was $57, which was $29 less than th
ludmilkaskok [199]
The answer is 43 when you add 29 back to 57 then divide by 2
6 0
3 years ago
3. Complete the proof below.<br><br><br> Help please!!!
baherus [9]

Answer:

The completed proof is presented as follows;

The two column proof is presented as follows;

Statements    {}                                               Reason

1. \overline {HI} ║ \overline {KL}, J is the midpoint of \overline {HL} {}         1. Given

2. ∠IHJ ≅ ∠JLK{}                                            2. Alternate angles are congruent

3. ∠IJH ≅ ∠KJL   {}                                         3. Vertically opposite angles

4.  \overline {HJ} ≅ \overline {JL}   {}                                              4. Definition of midpoint

5. ΔHIJ ≅ ΔLKJ  {}                                         5. By ASA rule of congruency

Step-by-step explanation:

Alternate angles formed by the crossing of the two parallel lines \overline {HI} and \overline {KL}, by the transversal \overline {HL} are equal

Vertically opposite angles formed by the crossing of two straight lines \overline {IK} and \overline {HL} are always equal

A midpoint divides a line into two equal halves

Angle-Side-Angle, ASA rule of congruency states that two triangles ΔHIJ and ΔLKJ, that have two congruent angles, ∠IHJ in ΔHIJ ≅ ∠JLK{} in ΔLKJ and ∠IJH in ΔHIJ ≅ ∠KJL in ΔLKJ, and that the included sides between the two congruent angles is also congruent \overline {HJ} ≅ \overline {JL}, then the two triangles are congruent, ΔHIJ ≅ ΔLKJ.

5 0
2 years ago
3
ludmilkaskok [199]

Answer: Yes

Step-by-step explanation:

Each value of y maps onto one value of x.

3 0
1 year ago
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