A safe's lock has a three number combination. The
numbers on the safe lock are 0 - 9. How many
combinations are possible if no number may be used
more than once?

Answer:

the question is blurry, please resend it

Answer:

B

Step-by-step explanation:

The 1st quartile is 135. The 3rd quartile is 195. To find the interquartile, you would subtract the 3rd quartile from the 1st quartile. 195-135=60. The interquartile range for the spring musical is 60

Answer:

92 boys

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

Answer:

42 boys

Step-by-step explanation:

Represent the number of boys with 'b' and that of girls with 'b + 23.'

Then b + (b + 23) = 207.

Simplifying, we get 2b =   84, so that b is 42.  There are 42 boys and

(42 + 23) girls, or 65 girls.

Answer: 1

Step-by-step explanation: the lowest number they divide into evenly is 1

Now

Answer:

Step-by-step explanation:

the slopes are perpendicular

find a slope perpendicular to 3/2

how to find:

change the sign of the slope and flip the fraction

-2/3 is the slope

The slope of BD is -2/3.

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

BD is a diameter of circle A. If the slope of BE is 3/2.

We have to find the slope of BD.

According to given question we have

We know that the slope of a perpendicular line from the slope of a given line is obtained by taking the negative reciprocal of the slope of the given line. If the slope of the given line is [tex]m_{1}[/tex] and the slope of a perpendicular line is [tex]m_{2}[/tex] then we have

[tex]m_{2} = -1/m_{1}[/tex]

So, the slope of BD is -2/3.

Therefore, the slope of BD is -2/3.

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Answer:

Question 1

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, or a right triangle)

Given:

⇒ BC² + 8² = 10²

⇒ BC² = 36

⇒ BC = 6 cm

Question 2

Given:

⇒ MB = AB - AM = 8 - x

As ΔABC ~ ΔMBN

⇒ AB : AC = MB : MN

⇒ 8 : 10 = (8 - x) : MN

[tex]\sf \implies \dfrac{8}{10}=\dfrac{(8-x)}{MN}[/tex]

[tex]\sf \implies \dfrac45=\dfrac{(8-x)}{MN}[/tex]

[tex]\sf \implies MN=\dfrac54(8-x)[/tex]

Question 3

D = (6, 8)

As ΔBAD ~ ΔMAP

⇒ AB : AD : BD = AM : AP : MP

⇒ 8 : 6 : 10 = x : AP : MP

[tex]\sf \implies \dfrac{8}{6}=\dfrac{x}{AP}[/tex]

[tex]\sf \implies AP=\dfrac34x[/tex]

[tex]\sf \implies \dfrac{8}{10}=\dfrac{x}{MP}[/tex]

[tex]\sf \implies MP=\dfrac54x[/tex]

Question 4

Perimeter of MNCDP = MN + NC + CD + PD + MP

As ΔABC ~ ΔMBN

⇒ AB : BC : AC = MB : BN : MN

⇒ 8 : 6 = (8 - x) : BN

[tex]\sf \implies \dfrac86=\dfrac{(8-x)}{BN}[/tex]

[tex]\sf \implies BN=\dfrac34(8-x)[/tex]

NC = BC - BN

[tex]\sf \implies NC=6-\dfrac34(8-x)[/tex]

PD = 6 - AP

[tex]\sf \implies PD=6-\dfrac34x[/tex]

Perimeter of MNCDP = MN + NC + CD + PD + MP

[tex]\sf \implies perimeter=\dfrac54(8-x)+6-\dfrac34(8-x)+8+6-\dfrac34x+\dfrac54x[/tex]

[tex]\sf \implies perimeter=10-\dfrac54x+6-6+\dfrac34x+8+6-\dfrac34x+\dfrac54x[/tex]

[tex]\sf \implies perimeter=10+8+6=24[/tex]

Perpendicular lines have negative reciprocal slopes. That means the fraction is flipped and multiplied by negative 1. So if one line has a slope of 3/5, then a line perpendicular to it has a slope of -5/3.

A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line

Answer:

168

Step-by-step explanation:

Answer:

x=3
y=12

Step-by-step explanation:

The scale factor is 1:4

we divide 12 by 4 to get 3

if we multiply 3 by 4 it is 12 so y=12

Answer:

A = 390

Step-by-step explanation:

l=14

w= 3

h= 9

A= 2 (wl+hl+hw) = 2 (3.14+9.14+9.3) = 390

Answer: 390in^2

Step-by-step explanation:

2(14 x 3) + 2(9 x 3) + 2(14 x 9)

84 + 54 + 252 = 390 in^2

Answer:

73.81

Step-by-step explanation:

You know that the formula for circumeference is 2(pi)r.

2x3.14x11=69.08;

However, a part of the circle is cut off, leaving 3/4 of it.

3/4x69.08=51.81.

However, you add the 11+11 to it because of the slice.

22+51.81=73.81

Answer:

Cubic centimetres

Step-by-step explanation:

Cubic centimetres is perfect

As

Answer:

5 students did.

Step-by-step explanation:

20 students. 1/4 of 20 is 5

The elevation and the top of the tree form a right triangle

The height of the tree is 104.96 feet

The given parameters are:

The height (h) of the tree is calculated using the following trigonometry ratio

tan(α) = h/b

Make h the subject

h = b * tan(α)

Substitute known values

h = 82* tan(52)

Evaluate the product

h = 104.96

Hence, the height of the tree is 104.96 feet

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Answer:

Step-by-step explanation:

tan 52 = x/82

x= 82 x tan 52

x=104.96

Answer:

7918

Step-by-step explanation:

If you round Earth's diameter, I believe that it is 7,918 miles.

Answer:

Step-by-step explanation:

[tex]A=P(1+\frac{r}{n})^{nt[/tex]

A = future value ($)

P = principal (orignal amount - $400)

R = rate (written as a decimal - 3%/100= 0.03)

N = compound (yearly - 1)

T = number of years (0, 5, 10, 15)

Now, substitute each number into the formula and record them in the table.

0 years:

[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=400(1+\frac{0.03}{1})^{1*0}\\\\A=400(1+\frac{0.03}{1})^0 < ==any\ number\ raised\ to\ zero=1\\\\A=400(1)\\\\A=\$400[/tex]

5 years:

[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=400(1+\frac{0.03}{1})^{1*5}\\\\A=400(1+\frac{0.03}{1})^{5}\\\\A=400(1+{0.03})^{5}\\\\A=400({2.03})^{5}\\\\A=400({1.1593})\\\\A=\$463.72 < ==round\ to\ the\ nearest\ dollar\\\\A=\$464[/tex]

10 years:

[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=400(1+\frac{0.03}{1})^{1*10}\\\\A=400(1+\frac{0.03}{1})^{10}\\\\A=400(1+{0.03})^{10}\\\\A=400({1.03})^{10}\\\\A=400({1.3439})\\\\A=\$537.56 < ==round\ to\ the\ nearest\ dollar\\\\A=\$538[/tex]

15 years:

[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=400(1+\frac{0.03}{1})^{1*15}\\\\A=400(1+\frac{0.03}{1})^{15}\\\\A=400(1+{0.03})^{15}\\\\A=400({1.03})^{15}\\\\A=400({1.5579})\\\\A=623.16 < ==round\ to\ the\ nearest\ dollar\\\\A=\$623[/tex]

20 years:

 [tex]A=P(1+\frac{r}{n})^{nt}\\\\A=400(1+\frac{0.03}{1})^{1*20}\\\\A=400(1+\frac{0.03}{1})^{20}\\\\A=400(1+{0.03})^{20}\\\\A=400({1.03})^{20}\\\\A=400({1.8061})\\\\A=722.44 < ==round\ to\ the\ nearest\ dollar\\\\A=\$722[/tex]

Note that since we are rounding, answers may vary by a dollar or two.

Hope this helps!

Answer:

55 degrees

Step-by-step explanation:

well, x is on the same line as 125, and a line is always a straight 180 degrees, so you subtract 180-125=55, and angle x and angle y are corrisponding angles, so y also equals 55 degrees.

hope that helps!

Answer:

722.5792 cm²

Step-by-step explanation:

1 in ≈ 2.54 cm

Squaring both sides:

⇒ (1 in)² ≈ (2.54 cm)²

Apply exponent rule (ab)² = a²b²

⇒ (1)² in² ≈ (2.54)² cm²

⇒ 1 in² ≈ 6.4516 cm²

Therefore, to convert an area measured in inches squared to centimeters squared, multiply by 6.4516:

⇒ 112 in² ≈ (112 × 6.4516) cm²

               = 722.5792 cm²

Answer:

[tex](x + 2) ^{2} = - 8[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 4x + 8 = 0 \\ {x }^{2} + 4x = - 8 \\ {x}^{2} + 4x + 4 = - 8 + 4 \\ ( x + 2)^{2} = - 4[/tex]

It will take approximately 282.352 hours for one to go round the earth, this is equivalent to 11.764 days

Given Data

We know that the relationship between speed, distance and time is given as

Speed = Distance/Time

Hence,

Time = Distance/Speed

Substituting our given data into the expression we have

Time = 2.4x10^4/8.5x10

Time = 2.4x10^3/8.5

Time = 282.352 hours

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Answer:

183 cm^2

Step-by-step explanation:

the line through the shape line means that they are equivalent meaning the side that is empty not making the trapezoid would be 9 as well. moving the 3 over since it is right next to it. 3 times 9 equal 27cm^2. later we are gonna use this number to subtract

then make a different equation with 3+9 to the the full height of the trapezoid pretending it is not missing anything. 3+9=12

then use the formula to find the area of the trapezoid which is 1/2(h)(b1+b2)

add the 2 bases together to get 35. how did i get 35. 12+14=26 yes then include the 9 to get 35.

1/2(height=12)(35)=6(35)=210cm^2

then you used 210-27 to get 183cm^2

Answer:

The probability of each is 50-50.

Step-by-step explanation:

With the marbles, there are four different outcomes: red-blue, blue-red, red-red, and blue-blue. Because one outcome is for same colors and the other is different colors, the probability of either is 2/4, or 1/2, or 50%. This is the same as tossing a coin. Hope this helps!

$37.51 - the third option above

Step-by-step explanation:

A

1600 x 1.053^3= 1868.12

B

1600x1.06^3 =1905.63

Difference

1905.63-1868.12= 37.51

$37.51

Hope this helps!

Answer:

Step-by-step explanation:

Time to complete each of jobs

Total time at job

If the work day lasts for 8 hours, then Lana has only 1/4 hr to travel between jobs and a lunch break.  

This time is not sufficient so she can't complete all the jobs.

Answer:

No (see explanation below)

Step-by-step explanation:

Approximate times to carry out each job:

For one Saturday, Lana needs to:

Therefore, the total time for the jobs is:

[tex]\begin{aligned}\sf Total\:time & = \sf 3\:small\:lawns+1\:large\:lawn+2\:tidy\:yards+1\:plant\:annuals\\\\& = \sf 3 \cdot \dfrac{1}{2}+\dfrac{3}{4}+2 \cdot 1 \frac{1}{2}+2\frac{1}{2}\\\\& = \sf 1 \frac{1}{2}+\dfrac{3}{4}+3+2\frac{1}{2}\\\\& =\sf 7 \frac{3}{4}\: hours\end{aligned}[/tex]

The likelihood of Lana being able to complete all the jobs in one day is dependent on how far she needs to travel between jobs and how long she wishes to break for lunch.  A typical working day is around 8 hours. Therefore, unless Lana wishes to work for a longer day, it is unlikely she will be able to complete all of the jobs in one day as there is only 15 minutes available for traveling and lunch, which is likely not enough.

Answer:

|x - 8| = 6

Step-by-step explanation:

   |x - b| = c

⇒ (x - b)² = c²

Given:

Substitute the values of x into (x - b)² = c²:

(2 - b)² = c²

(14 - b)² = c²

Equate and solve for b:

(2 - b)² = (14 - b)²

⇒ 4 - 4b + b² = 196 - 28b + b²

⇒ 4 - 4b = 196 - 28b

⇒ 24b = 192

⇒ b = 8

Substitute b = 8 into the equations to find c:

x = 2 ⇒ |2 - 8| = 6

x = 14 ⇒ |14 - 8| = 6

Therefore, c = 6

Final equation:  |x - 8| = 6

Answer:

Hiroko removed common factors, which leads to smaller numbers, which can be easier to work with.

Step-by-step explanation:

However, this step is not entirely needed in the grand scheme of solving the problem. It simply uses smaller numbers to digest.

Do the opposite of PEMDAS when isolating the variable, d. Note the equal sign, what you do to one side of the equal sign, you do to the other.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)
Multiplication

Division

Addition

Subtraction.

First, subtract 490 from both sides of the equation:

10d + 490 (-490) = 2500 (-490)

10d = 2500 - 490

10d = 2010

Next, divide 10 from both sides of the equation:

(10d)/10 = (2010)/10

d = 2010/10

d = 201

201 is your value for d.

~

The given expression [tex]\rm 12x^2-13x+3[/tex]equivalent to (3x - 1)(4x - 3) option second is correct.

A quadratic expression is a second-degree algebraic expression represented by the:

[tex]\rm f(x)=ax^2+bx+c[/tex] ........(1)

Where a, b, and c are the constants and  

We have the quadratic expression:

[tex]\rm f(x)=12x^2-13x+3[/tex]

[tex]\rm f(x)=12x^2-9x-4x+3[/tex]  (we can write -13x as a sum of -9x and -4x)

After taking common term, we get:

[tex]\rm f(x)=3x(4x-3)-(4x-3)[/tex]

[tex]\rm f(x)=(4x-3)(3x-1)[/tex]  or

[tex]\rm f(x)=(3x-1)(4x-3)[/tex]

Thus, the given expression [tex]\rm 12x^2-13x+3[/tex]  is equivalent to (3x - 1)(4x - 3).

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