Find the sine of ZD.
F
2√15
D
2-√15
E

Answer:

c

Step-by-step explanation:

Step 1

Solve 3x-y=-63x−y=−6 for yy.

y=6+3xy=6+3x

Step 2

Substitute 6+3x6+3x for yy in the second and third equation.

2\left(6+3x\right)-5z=-52(6+3x)−5z=−5 x-\left(6+3x\right)-2z=-4x−(6+3x)−2z=−4

Step 3

Solve these equations for xx and zz respectively.

x=-\frac{17}{6}+\frac{5}{6}zx=−

6

17

+

6

5

z z=-1-xz=−1−x

Step 4

Substitute -\frac{17}{6}+\frac{5}{6}z−

6

17

+

6

5

z for xx in the equation z=-1-xz=−1−x.

z=-1-\left(-\frac{17}{6}+\frac{5}{6}z\right)z=−1−(−

6

17

+

6

5

z)

Step 5

Solve z=-1-\left(-\frac{17}{6}+\frac{5}{6}z\right)z=−1−(−

6

17

+

6

5

z) for zz.

z=1z=1

Step 6

Substitute 11 for zz in the equation x=-\frac{17}{6}+\frac{5}{6}zx=−

6

17

+

6

5

z.

x=-\frac{17}{6}+\frac{5}{6}\times 1x=−

6

17

+

6

5

×1

Step 7

Calculate xx from x=-\frac{17}{6}+\frac{5}{6}\times 1x=−

6

17

+

6

5

×1.

x=-2x=−2

Step 8

Substitute -2−2 for xx in the equation y=6+3xy=6+3x.

y=6+3\left(-2\right)y=6+3(−2)

Step 9

Calculate yy from y=6+3\left(-2\right)y=6+3(−2).

y=0y=0

Step 10

The system is now solved.

x=-2x=−2 y=0y=0 z=1z=1

Solution

x=-2x=−2

y=0y=0

z=1z=1

Answer:

180cm

Step-by-step explanation:

To find the volume you do Length times Width times Height

use this it'll help when you run into this again, it's formula is just

LxWxH, in this order good luck!

Step-by-step explanation:

first of all, all answer options are basically wrong, because an area is always measured in units² (and not just in units).

the blue colored area is the area of the whole square minus the area of the circle.

the side length of the square is 2 times the radius of the circle (the diameter) : 2×12 = 24 units.

so, the area of the square is

24² = 576 units²

the are of the circle is

pi×r² = pi×12² = 144pi units²

so, the blue area is

576 - 144pi = 123.6106579... ≈ 124 units²

therefore, D is the right answer.

The year in which the two quantities will be equal is 2133.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Here we have the following data.

y=0.221x-368.264 For men

y=0.168x-255.196 for women

So when we will equate these two equation we will get the year in which two quantities will be same.

0.221x-368.264=0.168x-255.196

0.221x-0.168x=368.264-255.196

0.053x = 1123.068

x= 2133 year

Hence the year in which the two quantities will be equal is 2133.

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Answer:

Cos θ = 13/15

Tan θ= 12/13

Step-by-step explanation:

We are given;

Sin θ = 12/15

From trigonometric ratios, we know that;

Sin θ = opp/hyp

Cos θ = adj/hyp

Tan θ = opp/adj

Thus, since Sin θ = 12/15, then;

Adjacent side = √(15²- 12²)

Adhacent side = √169

Afjacent side =13

Thus;

Cos θ = 13/15

Tan θ= 12/13

Based on the triangle inequality theorem, the inequality that gives the range of possible values for x is: 4 < x < 20.

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side.

Therefore, the range of values that is possible for x would be:

12 - 8 < x < 12 + 8

4 < x < 20

The inequality is: 4 < x < 20

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Answer:

Step-by-step explanation:

Directions

Draw a line from B to C. A can be anywhere above 132 degrees and it would have the same value as long as its endpoints are B and C

The actual value is 1/2 the central angle which is given as 132 degrees.

Givens

<BOC = 132 degrees.

<BOC is the central angle.

Solution

<BAC = 1/2 <BOC

<BAC = 1/2 132 degrees

<BAC = 66 degrees.

Answer

<BAC = 66 degrees

Answer:

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

Answer:

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

Step-by-step explanation:

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

The expression 8 × 35 is equal to 8 × (30 + 5), (8 × 30) + (8 × 5), and 8 × (20 + 15) option A, C, and E are correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have expression:

= 8 × 35  ⇒ 280

A. 8 × (30 + 5) ⇒ 280

B. 5 + 3 × 35 ⇒ 110

C. (8 × 30) + (8 × 5) ⇒ 280

D. (8 + 30) × (8 + 5) ⇒ 494

E. 8 × (20 + 15) ⇒ 280

Thus, the expression 8 × 35 is equal to 8 × (30 + 5), (8 × 30) + (8 × 5), and 8 × (20 + 15) option A, C, and E are correct.

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Answer:

(3.5; 1.5).

Step-by-step explanation:

1) formula for midpoint:

[tex]x=\frac{X_A-X_B}{2}; \ y=\frac{Y_A-Y_B}{2};[/tex]

2) according to the formula above the required midpoint is:

x=0.5(5+2)=3.5; y=0.5(8-5)=1.5

Answer:

volume = length^3

3375= length^3

therefore length = 15 units

Answer:

first aircraft=189

second aircraft=130

third aircraft=88

Step-by-step explanation:

1st = x+59

2nd = x

3rd= x-42

x + 59 + x + x - 42 = 407

3x + 59- 42 = 407

3x + 17 = 407

3x = 407 - 17

x=390÷3

=130

1st=130+59=189

2nd=130

3rd=130-42=88

Answer:

  x = 25

Step-by-step explanation:

The measure of an inscribed angle in a circle is half the measure of the arc it subtends. The acute angles in a right triangle are complementary.

__

Inscribed angle CAD is half the measure of arc CD, so is 80°/2 = 40°.

Acute angle 2x° is the complement of angle CAD in the right triangle shown, so we have ...

  2x° = 90° -40° = 50°

  x = 25 . . . . . . . . . . . . divide by 2°

Answer:

Step-by-step explanation:

National car rental equation is

C = 14d + 0.20m  

- where C= total cost, d = the number of days and m = the total number of miles driven.

Answer:

5/8 of a cup

Step-by-step explanation:

Answer:

m = -4/3

Step-by-step explanation:

m = y2-y1/x2-x1

therefore at (-3,2) and (0-2)

m = -2-2/0 - (-3)

m = -4/3

Triangle ABC is congruent to triangle DEF based on the SAS congruence theorem.

The SAS theorem is a triangle congruence theorem that states that two triangles are congruent if they have two pairs of congruent sides that are corresponding to each other, and a pair of congruent included angles.

Triangles ABC and DEF have:

Therefore, they are congruent by SAS.

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Answer:

He bought 32 sketchbooks

Step-by-step explanation:

E equals 32

Answer:

17

Step-by-step explanation:

We know:

The total bill was $241

The paint sets cost $105

Each sketchbook is $8

First, subtract the cost of the paint sets from the total bill. That leaves the entire cost of all of the sketch books.

241-105=136

Next, divide the cost of the sketch books by 8 to find the cost of one sketchbook.

136/8=17

Therefore, Mr. Benito bought 17 sketchbooks.

Answer:

A. F(x) = |x|

Step-by-step explanation:

Any number that substitutes for x inside of the absolute value parent function will be converted to a positive. Example: |-43| = 43

Answer:

Option B

Step-by-step explanation:

[tex]A=(5.1)^{2} +4(\frac{(5.1)(5.95)}{2} )=26.01+60.69=86.7cm^{2}[/tex]

Hope this helps

Answer:

x1 =-3+3[tex]\sqrt{2}[/tex] and x2=-3-3[tex]\sqrt{2\\}[/tex]

Step-by-step explanation:

x² + 6x-9 = 0

-6±[tex]\sqrt{6^{2}-4(1)(-9) }[/tex] / 2

-6±[tex]\sqrt{72}[/tex] /2

so

x1 = -6+[tex]\sqrt{72[/tex] /2

x1 =-3+3[tex]\sqrt{2}[/tex]

and

x2 = -6-[tex]\sqrt{72[/tex] /2

x2=-3-3    [tex]\sqrt{2\\}[/tex]

Answer:

Our goal is to find the total weight which we can do by just adding up our weights.  We have 6.7 kg of apples and we have 3.1 kg of melon so we just add those up together and we get 9.8 kg.

Hope this helps!  Let me know if you have any questions

Answer: 56°

Step-by-step explanation:

Answer: D. Using another person's ideas or writing without citing them.

Step-by-step explanation: Plagiarism is the use of someones work and claiming it as their own without giving them credit

Answer:

[tex]\sf A) \quad \dfrac{9}{100}[/tex]

Step-by-step explanation:

Given:

Total number of marbles = 3 + 4 + 2 + 1 = 10

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Probability of selecting a green marble on first pick:

[tex]\implies \sf P(green\:marble)=\dfrac{3}{10}[/tex]

Probability of selecting a green marble on second pick:

[tex]\implies \sf P(green\:marble)=\dfrac{3}{10}[/tex]

(as the 1st pick was replaced)

Therefore,

[tex]\implies \textsf{P(green marble) and P(green marble)} \sf =\dfrac{3}{10} \times \dfrac{3}{10}=\dfrac{9}{100}[/tex]

Answer:

57 ounces

Step-by-step explanation:

He needs 28 oz of oil for every 44 cups. Multiply both to get 56 oz of oil for 88. Since there is one more cup of flour, you will need one more ounce of oil.

Answer:

152.5

Step-by-step explanation:

I think that might be the answer ( im not that good at math )