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2 years ago

Maria uses 1 1/2 cups of milk for her cereal and

Mathematics

2 answers:

jonny [76]2 years ago

7 0

Answer:

more, she uses 17.5 cups a week

Step-by-step explanation:

Verizon [17]2 years ago

4 0

Maria used more than a gallon each week, 17 1/2.

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Find two positive nontrivial solutions of x^2-Ny^2=1 when N is 15, 7, or 99

Pavel [41]

Hello,

if n=15: (4,1),(31,8),(244,63)

if n=7: (8,3),(127,48),(2024,765)

if n=99: (10,1),(199,20),(3970,399)

(Pell 's equation)

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8 0

3 years ago

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Find the domain and range of the function.

goblinko [34]

Answer:

Domain: (−∞,∞), {x | x ∈ R}

Range: [3,∞), {y | y ≥ 3}

Graph the equation to find the domain and range.

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3 years ago

Juan has 2 liters of juice. He drinks 0.21 liter of juice every day. For how many days will the juice last?

bixtya [17]

Answer:

9 days

Step-by-step explanation:

2 / .21 = 9.52380952 then round up to get 9.

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2 years ago

The sum of the angles in a hexagon is 720°.

qwelly [4]

Given:

The sum of the angles in a hexagon is 720°.

$m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.$

To find:

(a) Equation to solve the value of x.

(b) The value of x.

Solution:

(a)

We have,

$m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.$

The sum of the angles in a hexagon is 720°.

$m\angle A+m\angle B+m\angle C+m\angle D+m\angle E+m\angle F =270^\circ$

$90^\circ+126.87^\circ+(3x)^\circ+90^\circ+143.13^\circ+143.13^\circ =270^\circ$

$90+126.87+(3x)+90+143.13+143.13 =720$

Therefore, the required equation is $90+126.87+(3x)+90+143.13+143.13 =720$ .

(b)

On solving the above equation, we get

$593.13+3x =720$

$3x =720-593.13$

$3x =126.87$

Divide both sides by 3.

$x =\dfrac{126.87}{3}$

$x =42.29$

Therefore, the value of x is 42.29.

(c)

We need to find the measure of angle C.

$m\angle C=(3x)^\circ$

$m\angle C=(3\times 42.29)^\circ$

$m\angle C=126.87^\circ$

Therefore, the measure of angle C is 126.87 degrees.

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3 years ago

What is true about △ABC? Select three options

rjkz [21]

Answer:

A) AB ⊥ AC

B) The triangle is a right triangle.

C) The triangle is an isosceles triangle

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

we have

$A(-1,3), B(-5,-1)$

substitute in the formula

$d=\sqrt{(-1-3)^{2}+(-5+1)^{2}}$

$d=\sqrt{(-4)^{2}+(-4)^{2}}$

$d_A_B=\sqrt{32}\ units$

step 2

Find the distance BC

we have

$B(-5,-1),C(3,-1)$

substitute in the formula

$d=\sqrt{(-1+1)^{2}+(3+5)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$d_B_C=8\ units$

step 3

Find the distance AC

we have

$A(-1,3),C(3,-1)$

substitute in the formula

$d=\sqrt{(-1-3)^{2}+(3+1)^{2}}$

$d=\sqrt{(-4)^{2}+(4)^{2}}$

$d_A_C=\sqrt{32}\ units$

step 4

Compare the length sides of triangle

$d_A_B=\sqrt{32}\ units$

$d_B_C=8\ units$

$d_A_C=\sqrt{32}\ units$

therefore

The triangle ABC is an isosceles triangle, because has two equal sides

The triangle ABC is a right triangle because satisfy the Pythagoras theorem

$BC^2=AB^2+AC^2$

$8^2=(\sqrt{32})^2+(\sqrt{32})^2$

$64=32+32$

$64=64$ ----> is true (Is a right triangle)

AB ⊥ AC because in a right triangle the legs are perpendicular

5 0

2 years ago

Read 2 more answers