One of the legs of a right triangle measures 12 cm and its hypotenuse measures 20 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answer:

(12,15)

Step-by-step explanation:

This is assuming you haven't answered already... Mr Cooper helped me find it

Answer:

Therefore, June gets £6

Step-by-step explanation:

Total amount = £20

Assume:

June's share = a

Sushil's share = b

Fiona's share = c

a = 2b -----------------------(1)

b = 3c -----------------------(2)

c = b ÷ 3 -------------------(3)

a + b + c = £20  --------(4)

Substitute equations (1) and (3) in equation (4)

2b + b + (b ÷ 3) = £20

10b ÷ 3 = £20

b = £20 * 3 ÷ 10 = £6

a = 2 * £6 = £12

c = £6 ÷ 3 = £3

Therefore, June gets £6

Answer:

423 v- 69ferr

Step-by-step explanation:

The age of the giraffe when he is 15 feet tall be 1 year 1 month and  16 days.

A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Giraffe height = 6 feet

Height grew in 7 months= 1.75 feet

Giraffe's height in 7 month = 7.75 feet

Giraffe's height, 1 feet= [tex]\frac{7}{7.75}[/tex] month

                                   = 0.9032 months

Giraffe's height, 15 feet=  0.9032 x 15 month

                                    = 13.548 month

                                    = 13 months 16 days approx.

                                    = 1 year 1 month 16 days

Hence, the age of giraffe will be 1 year, 1 month and 16 days

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The total number of outcomes will be 6. Then the sample space will be {(3,R), (3,S), (3,T), (5,R), (5,S), (5,T)}

Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as a curly bracket {..}.

One spinner has three equally sized sectors labeled R, S, and T.

A second spinner has two equally sized sectors labeled 3 and 5.

Then the total number of the event will be

Total event = 3 × 2

Total event = 6

Then the sample space will be

[tex]\rm Sample = \left\{\begin{matrix}3,R & 3,S & 3,T \\\\5,R & 5,S & 5,T \\\end{matrix}\right.[/tex]

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Answer: All four answer choices would create congruent shapes.

===================================================

Explanation:

Reflections, rotations, and translations are considered rigid transformations. What this means is that they keep the same shape, but the shape has been moved in some fashion. As such, the "before" (preimage) and "after" (image) are congruent figures.

Imagine you drew a triangle on a clear piece of glass. If you took a picture of it from one side, then took another picture from the opposite side, then you'd get reflected versions of the triangle. Notice how the triangle has not moved at all. The camera has. Therefore, this proves that reflections keep the same exact shape. The only thing different is the orientation has swapped.

Now imagine you drew a triangle etched in stone. Grab your camera to take a picture of it. Then rotate the camera to get another picture. The two triangles are rotated copies of each other. They're the same exact triangle since the figure etched in stone hasn't changed. Only the camera has. This thought exercise proves rotations are a rigid transformation, aka an isometry.

Lastly, we'll go back to the triangle etched in stone to work with translations. A translation is any shifting. Take a picture of the triangle etched in stone. Then move the camera around to pan to another location (panning is when you keep your aim at the subject but move side to side, or up and down). Imagine the camera is stuck on a train track and can only aim one direction. The camera will take two pictures of the same triangle, of course the only difference is that they have shifted in the frame. Therefore, translations are the third final type of rigid transformation.

-----------------

Dilations are not rigid transformations, but only if the scale factor was something else than 1.

If the scale factor is less than 1, then the image shrinks.

If the scale factor is greater than 1, then the image enlarges.

If the scale factor is exactly 1, then the image doesn't change at all. This is because we multiplied all sides by 1. Multiplying by 1 doesn't change the number.

So because choice (2) mentions the scale factor is 1, this places it in the "rigid transformation" category and it's one of the four answers. Change the scale factor to anything else, and it wouldn't be an answer.

Answer:

3 gallons

Step-by-step explanation:

its in between 2 and 4 on minute 1 and its on 6 at minute 2

Answer:

Well from looking at the graph it looks like 2 gallons in less than a minute (estimating 40 seconds) and 12 gallons every four minutes

Hope this helps :)

Slide that brainliest ;)

Answer:

(0, 75), (75, 0), (-75, 0), (0, -75)

Step-by-step explanation:

I used desmos graphing calculator. c:

Answer:

(x + 3)^2 + (y - 2)^2 = 25

Step-by-step explanation:

Looking at the circle we can see the origin and the radius from the origin to the edge of the circle.

radius  = 5

Origin of the circle (h,k) = (-3,2)

Equation of a circle: (x - h)^2 + (y - k)^2 =r^2

Plug in our (h,k) and radius into the equation.

(x - (-3))^2 + (y - (2))^2 = 5^2

(x + 3)^2 + (y - 2)^2 = 25

Answer:

The distance is 17.20

Step-by-step explanation:

The solution is in the image

Answer:

Option B. 14(2x + 1)

Let's solve:

 [tex]28x + 14=14(2x+1)=14*2x + 14*1=28x +14[/tex]

        /\               /\            

         |                 |

   Based on the Distributive Property of Multiplication

        ⇒ a number that is multiplied by the sum of two numbers, that

              the number can be multiplied by both of those numbers and

             then added together to get the answer

             (See image attached below)

Answer: (B), 14(2x + 1)

Hope that helps!

It is a true statement that; "A point of sale transaction occurs when a debit card is used to purchase items at a grocery store."

A debit card is a small card that contains a chip which a bank issues to its customers to enable them to perform cashless transactions outside the banking hall.

It is a true statement that; "A point of sale transaction occurs when a debit card is used to purchase items at a grocery store."

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Answer: It is a true statement.

A transaction is an agreement between a buyer and a seller to exchange goods, services or financial instruments.

--------------------------------------------

Have a great day and God bless! :)

Answer:

No, the ladder is not within the safe range because the slope is 5.

Step-by-step explanation:

To solve, find the slope of the ladder using the slope formula and check if the slope is between 6.3 and 9.5.

Slope is how steep a line is. In this case, the line is the ladder. If the ladder is too steep, them it is not safe.

You can calculate slope using the following formula:

[tex]slope = \frac{rise}{run}[/tex]

Rise means how faraway vertically, or how high up the ladder is.

Run means the how faraway horizontally, or from the wall the ladder is.

Let's calculate slope using the formula.

[tex]\displaystyle {slope=\frac{rise}{run}}[/tex]

[tex]\displaystyle {slope=\frac{2\ m}{0.4\ m}}[/tex]           Substitute the values, 2m for rise, 0.4m for run.

[tex]\displaystyle {slope=5}[/tex]                   Final answer

The question tells us that a safe ladder has a slope of 6.3 to 9.5. The slope, 5, is not between that range. Therefore, the ladder is not safe.

==========================================================

Explanation:

You'll look at each four digit group separately.

Since we want more than 2 people having a pet, this means the group of four must have 3 pet owners or all 4 are pet owners.

The digit 5 represents "no pet". If we see it show up twice or more, then we must cross the group off the list. Something like 5533 has the first two people that don't own pets, while the last two people do own pets. In this case, we don't have a "more than 2 pet owners" situation happening. So we must cross it off the list.

Here is the list of groups to cross off

There are five such groups we have eliminated. That leaves 20-5 = 15 groups where there are more than 2 pet owners.

We have 15 groups we want out of 20 total. It leads to the probability of 15/20 = 0.75

Answer:

0.75

Step-by-step explanation:

I took the quiz :)

Answer:

Angle L

Step-by-step explanation:

An obtuse angle has a measure between 90° and 180°.

Angles J and K are right angles, so their measures are equal and are 90°. Angle M has measure 64° and is acute.

Only angle L, which measures 116°, has a measure between 90° and 180° and is an obtuse angle.

Answer: Angle L

c=-24

Step-by-step explanation:

a=4, b=10 and c=-24

Answer: 1/3 im not sure tho

Step-by-step explanation:

Answer:

B 144

Step-by-step explanation:

Answer:

16.5

Step-by-step explanation:

7.5 x 2.2. formula of triangle = bh

log base 3 of the quantity x to the seventh z to the fourth end quantity divided by y to the sixth end log

Sure hope this helps you :D

The simplified form of the logarithmic expression, 6 log₃x - 7 log₃y + 4 log₃z, is log₃{(x⁶z⁴)/y⁷}. Hence, the third option is the right choice.

The laws involved in the simplification of logarithmic expressions are:

In the question, we are asked to simplify the logarithmic expression,

6 log₃x - 7 log₃y + 4 log₃z.

The simplification of the provided logarithmic expression can be done as follows:-

6 log₃x - 7 log₃y + 4 log₃z,

= log₃x⁶ - log₃y⁷ + log₃z⁴ {Using the Power law: [tex]a log_x b= log _xb^a[/tex]}

= log₃x⁶ + log₃z⁴ - log₃y⁷

= log₃x⁶z⁴ - log₃y⁷ {Using the Product law: [tex]log_xa + log_xb = log_xab[/tex]}

= log₃{(x⁶z⁴)/y⁷} {Using the Quotient law: [tex]log_xa - log_xb = log_x\frac{a}{b}[/tex]}.

Thus, the simplified form of the logarithmic expression, 6 log₃x - 7 log₃y + 4 log₃z, is log₃{(x⁶z⁴)/y⁷}. Hence, the third option is the right choice.

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Answer:

D, Step 3

Step-by-step explanation:

I just did it on edge

Answer:

The answer is D Step 3 should read = 2sin(x)cos(x).

Step-by-step explanation:

First image -Right triangle(One angle is 90 degrees)

Second image-Isosceles triangle(Two equal sides and two equal angles).

Step-by-step explanation:

let's start with B :

the best way to find the vertex is by transforming the function into the vertex form :

y = a(x - h)² + k

with (h, k) being the vertex.

when doing all the multiplications, we get

y = a(x²-2hx+h²) + k = ax² - 2ahx + ah² + k

let's compare with the irreducible function

ax² = 4x²

a = 4

-2ahx = 8x

-2×4hx = 8x

-8hx = 8x

-8h = 8

-h = 1

h = -1

ah² + k = -5

4×(-1)² + k = -5

4 + k = -5

k = -9

so, the vertex form is

y = 4(x + 1)² - 9

the vertex is (-1, -9)

if the factor of the (x-h)² term is greater than 0, then the parabola opens upward, and if it is less than zero, the parabola opens downward.

out factor is +4, so it opens upward, and the vertex is a minimum.

A

now we know

y = 4(x + 1)² - 9

for the x-intercepts we need to find the x-values that lead to 0 y values.

so,

0 = 4(x + 1)² - 9

9 = 4(x + 1)²

3 = ± 2(x + 1) = ± (2x + 2)

for +(2x + 2) is then

3 = 2x + 2

2x = 1

x = 1/2

for -(2x + 2) is then

3 = -2x - 2

5 = -2x

x = -5/2

so, the x-intercepts are

(-5/2, 0) and (1/2, 0).

C

I know it is a parabola.

i know 3 points : the vertex and the 2 x-interceot points. i could then also calculate the points for x = 0, 1, -1, 2, -2.

and then draw the graph with a curve ruler connecting the points.

The number of digits is an illustration of combination, and there are 40,000 possible codes that start with a prime number that Genevieve could  create

The given parameters are:

Length = 5

First digit = Prime number (2, 3, 5, and 7)

This means that the first digit can be any of the 4 prime numbers, while the other four digits can be any of the 10 digits 0 - 9

So, the number of codes is

Code = 4 * 10 * 10 * 10 * 10

Evaluate

Codes = 40,000

Hence, there are 40,000 possible codes that start with a prime number that Genevieve could  create

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Answer:

40,000

Step-by-step explanation:

i did the k12 test ;)

[tex]\begin{cases} y=220x-160\\ y=20x^2-400 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{\stackrel{\textit{\Large y}}{220x-160}~~ = ~~20x^2-400} \\\\\\ -160=20x^2-220x-400\implies 0=20x^2-220x-240 \\\\\\ 0=20(x^2-11x-12)\implies 0=x^2-11x-12 \\\\\\ 0=(x-12)(x+1)\implies x= \begin{cases} 12\\ -1 \end{cases}[/tex]

[tex]\dotfill\\\\ x=12\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(12)-160}\implies y=2480 \\\\\\ x=-1\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(-1)-160}\implies y=-380 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (12~~,~~2480)\qquad (-1~~,~~-380)~\hfill[/tex]

Answer:

Each local sales department has 120 employees. The company wants to survey its employees to determine the most effective sales method.

Step-by-step explanation:

Answer:

they should used a random sample including the staff members

Step-by-step explanation:

Explanation:

There are 12 choices for left field.

Then there are 12-1 = 11 choices for right field.

Lastly, there are 11-1 = 10 choices for center field.

In total we have 12*11*10 = 1320 different permutations or orderings.

Answer:

do you have a pic?

Step-by-step explanation:

The number of ways that are there for Felicity to make her selection based on the combination of the twin bars is 103 ways.

From the complete information, the combination for a twin bar is 13, 2 twin bars can be in 31 places.

3 twin bars of chocolate will be 30 and 4 twin bars will be 29. Therefore, the number of ways will be:

= 13 + 31 + 30 + 29

= 103 ways

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