How many ways can a teacher choose three students from a class of 19 to go to the office and pick up a package?

Answer:

1. <2, <7

2. 58

3. 78

4. a and b

h5. <2 and <7 ( i think this is the same question as the first one)

Step-by-step explanation:

2. 2x + 7 = 123 (you have to make them equal to each other because they are consecutive interior angles)

2x + 7 = 123, subtract 7

2x = 116, divide 2 for both sides to make x by itself

x = 58

3. 78 because of consecutive interior angles

Answer:

b.

Step-by-step explanation:

Answer:

A. ∆ABD ~ ∆CDE

B. x ≈ 5.3

Step-by-step explanation:

A. The Acute Angle Similarity Theorem states that when an acute angle in one right triangle is congruent to a corresponding acute angle in another, both right triangles are said to be similar to each other.

<B ≅ <D (both are right angles)

<A ≅ C,

Therefore, ∆ABD ~ ∆CDE

B. Since ∆ABD ~ ∆CDE, corresponding sides would be proportional to each other. This means that:

DE/BD = CD/AB

Substitute:

6/8 = 4/x

Cross multiply

6*x = 4*8

6x = 32

6x/6 = 32/6

x ≈ 5.3 (nearest tenth)

Answer:

. c. Division Rule and Power of a Power Rule

Step-by-step explanation:

(x^3/x/x)^3

=(x³/x/x)³

First we need to solve the brackets. Anything written in the fraction form a/b/c can be written as a*c/b.

Similarly (x³/x/x)³ can be written as (x*x³/x)³

Solving further the x can be cancelled by x leaving x³ behind.

(x³)³

Now applying the Power of a Power Rule

x³*³= x⁹

First the division rule and then the power rule is applied.

Answer:

the answer is 64 dollars or pounds or whichever currency

Answer:

The bord game is 64$.

Step-by-step explanation:

80/10=8

8*(8-2)=

64$

Answer:

They both are not correct.

Step-by-step explanation:

3+(-53) = -50 not -27 or 8.9

Answer:

.

Step-by-step explanation:

......

.........................

Answer:

153

Step-by-step explanation:

Just plug the 9 in for every x in the equation. Your final answer should be 153.

Answer:

3

Step-by-step explanation:

If we use pythagoras theorem we know a^2+b^2=c^2

c being the hypoeneuse

so we half the 8 to get the dimensions of the right angle so the bottom side is 4cm and then we use the hypotenuese which is 5 and plug it in so

a^2+4^2=5^2

a^2+16=25

-16 from both sides

a^2=9

square root both sides

a=3

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The red numbers are the ones that are given in the problem text. The blue numbers are calculated so as to make row and column totals come out properly.

The drink total shows the same number is arrived at either of two ways. This is confirmation that the other numbers are calculated properly.

Answer: 140^3

Step-by-step explanation:

The 3 is an exponent. To solve this, you basiclly have to multiply the three numbers and add a 3 exponent.

Answer:

y-intercept is -9

Step-by-step explanation:

g(0) = -3(0)² - 5(0) - 9

g(0) = 0 - 9

g(0) = -9

Answer:

Algebra :(

Step-by-step explanation:

Anyway haiiiiiiii remember me Katie i saw your question lol haiii

Answer:

Step-by-step explanation:

45? Let me know if im wrong

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The base of the prism is triangle with base of 6 yd and hight of 6 yd.

The hight of the prism is 10 yd.

Therefore, the volume of the prism:

[tex](\frac12\cdot8\cdot6)\cdot10=240\ yd^3[/tex]

Answer:

[tex]l_c=5078.27ft[/tex]

Step-by-step explanation:

From the question we are told that:

Angle of inclination [tex]\angle=72 \textdegree[/tex]

Height [tex]h=4500ft[/tex]

Distance b\w cable base and mountain base [tex]d_{cm}=900ft[/tex]

Generally the equation for length of mountain base [tex]d_{mb}[/tex] is mathematically given by

 [tex]Tan\theta=\frac{h}{d_{mb}}[/tex]

 [tex]d_{mb}=\frac{h}{Tan\theta}[/tex]

 [tex]d_{mb}=\frac{4500}{Tan 72 \textdegree}[/tex]

 [tex]d_{mb}=1462.11ft[/tex]

Generally the Pythagoras equation for length of the cable [tex]l_c[/tex] is mathematically given by

[tex]l_c^2=h^2+(d_{mb}+d_{cm}^2)[/tex]

[tex]l_c^2=4500^2+(1462.11}+900}^2)[/tex]

[tex]l_c=5078.27ft[/tex]

Answer:

Yes

Step-by-step explanation:

2 hours=40

so 1 hour=20

if we use that:

3.5x20=70 as stated

4x20=80 as stated

5x20=100 as stated

so there is a proportional relationshi.

Answer:

80 I THINK, SORRY IF NOT RIGHT

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

12/4 = 3

3 x 9 = 27

Answer:

V = 214.32

Step-by-step explanation:

Remark

You have to be a little careful with this question. The temptation is just to take the difference of the heights. That is not correct. The difference has to be multiplied by the base to get the volume.

Formula

V = (h1 - h2)* Base

Givens

h1 = 32.9

h2 = 29.1

Base = 56.4

Solution

V = 56.4 ( 32.9 - 29.2)

V = 56.4 * 3.8

V = 214.32

Answer:

70.95$

Step-by-step explanation:

P = $1000

R = 2.365%

T = 3 years

[tex]\frac{PRT}{100}[/tex] = [tex]\frac{1000*2.365 * 3}{100}[/tex] = [tex]\frac{7095}{100}[/tex] = 70.95$

Answer:

[tex] \sf \rightarrowtail \: \frac{x}{4} = \frac{2}{5} \\ \sf \rightarrowtail \: 4 \times 2 = 5x \\ \sf \rightarrowtail \: 5x = 8 \\ \sf \rightarrowtail \: \boxed{ \bf \: x = \frac{8}{5} }[/tex]

Answer:

the approximate of 0•3090 is 0•31

Answer:

y = 1

Step-by-step explanation:

Since the line is a horizontal line through 1, y = 1.

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

⟹ Numbers that are less than zero are known as negative numbers (or integers). They fall on the left side of the number line.

⟹ Numbers that are greater than zero are known as positive numbers (or positive integers). They fall on the right side of the number line.

⁺˚*･༓☾✧.* ☽༓･*˚⁺‧

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:

[tex]\begin{bmatrix}-1 & 2 \\ \frac{3}{2} & -\frac{5}{2} \end{bmatrix}[/tex]

Step-by-step explanation:

Inverse of a matrix is given by,

[tex]\begin{bmatrix}a & b\\ c & d\end{bmatrix}=\frac{1}{ad-bc}\begin{bmatrix}d & -b\\ -c & a\end{bmatrix}[/tex]

By using this property,

[tex]\begin{bmatrix}5 & 4\\ 3 & 2\end{bmatrix}^{-1}=\frac{1}{(5\times 2-4\times 3)}\begin{bmatrix}2 & -4\\ -3 & 5\end{bmatrix}[/tex]

              [tex]=-\frac{1}{2}\begin{bmatrix}2 & -4\\ -3 & 5\end{bmatrix}[/tex]

              [tex]=\begin{bmatrix}-1 & 2 \\ \frac{3}{2} & -\frac{5}{2} \end{bmatrix}[/tex]

Therefore, inverse of the given matrix will be [tex]\begin{bmatrix}-1 & 2 \\ \frac{3}{2} & -\frac{5}{2} \end{bmatrix}[/tex]

Answer:

Step-by-step explanation:

4

9514 1404 393

Answer:

Step-by-step explanation:

1. Angle JKL is half the measure of the intercepted arc JK.

  (1/2)JK = 1/2(360° -190°) = (1/2)(170°) = 85°

  angle JKL is 85°

__

2. The angle between tangents is the supplement of the intercepted arc.

  angle JKL = 180° -(360° -240°)

  angle JKL = 60°