Find the missing side of the triangle.

Find The Missing Side Of The Triangle.

Answers

Answer 1

Answer:

x=1

Step-by-step explanation:

Since you know two sides and are trying to find the missing side, you can use the Pythagorean Theorem. So fashion the equation like this:

x^2 + 3^2 = sqrt10^2. After simplify, which leads to x^2 + 9 =10. Then have the variable to one side by subtracting 9 on both sides. This leads to x^2=1. Finally, square root both sides which leads to 1. Note that any root of 1 is 1. So your answer becomes x=1.

Hope this helps!


Related Questions

Complete factored form of -8a2b-a6b4

Answers

Answer:

[tex]-a^2b\left(8+a^4b^3\right)[/tex]

Step-by-step explanation:

When we factor out a expression, we seek the terms that are common and then take it away. This is the opposite of applying distributive. In this exercise, we need to factor the following expression:

[tex]-8a^2b-a^6b^4[/tex], so:

STEP 1: Applying exponent rules:

We know that:

[tex]a^{m+n}=a^mb^n[/tex]

So:

[tex]a^6b^4=a^2a^4bb^3[/tex]

Then, our expression remains:

[tex]-8a^2b-a^2a^4bb^3[/tex]

STEP 2: Taking common factor [tex]-a^2b[/tex], we finally get:

[tex]\boxed{-a^2b\left(8+a^4b^3\right)}[/tex]

Which of these expressions is equivalent to -2(x-5)

Answers

Answer: -2x+10

Step-by-step explanation:

you just multiply x and -5 by -2

Which inequality is equivalent to 6x + 1 > 4x - 5

Answers

Answer:

-20

Step-by-step explanation:

1. multiple: 4 * (5) = -20

2. Compare:

>

= 1 >

(-20) = Yes

2/3 divided by 24/25​

Answers

Answer:

25/36

Step-by-step explanation:

(2/3)/(24/25)

Solve. Change the division to multiplication, and flip the second fraction:

(2/3) * (25/24)

Multiply across:

(2 * 25)/(3 * 24) = 50/72

Simplify if necessary. Divide common factors:

(50/72)/(2/2) = 25/36

25/36 is your answer.

~

I can’t figure out what 3/8+1/4 is. Help!

Answers

Answer:

5/8

Step-by-step explanation:

3/8 + 1/4

We need to get a common denominator of 8

3/8 remains 3/8

We change 1/4 by multiplying by 2/2

1/4 *2/2 = 2/8

3/8 + 1/4

3/8+2/8

5/8

What are the coordinates of the image of point B, after the segment has been dilated by a scale factor of 3 with a center of dilation at the origin?

A. (–9, 9)

B. (9, –9)

C. (–1, 1)

D. (1, –1)

Answers

Answer:

(-9,9) is the correct answer

Answer:

A

Step-by-step explanation:

Since the dilatation is centred at the origin, then each of the coordinates of B are multiplied by the scale factor of 3

B(- 3, 3 ) → B'( 3 × - 3, 3 × 3 ) → B'(- 9, 9 ) → A

A store owner estimates that by charging x dollars each for a certain lamp, he can sell 25 - x lamps each week. What price will yield maximum revenue?

Answers

Answer:

[tex]\frac{25}{2}[/tex] or 12.5

Step-by-step explanation:

So if 25 - x items are sold, and they each cost x, we can write an equation for the revenue to be

y = (25 - x)x

The vertex of this equation will represent the maximum revenue.  So we need to write this equation in vertex form so we can find the vertex.

Vertex from is

y = a(x - h)^2+ k,

where (h,k) represent the vertex.

the vertex form of this equation would be

[tex]y= -(x-\frac{25}{2} )^{2} +\frac{625}{4}[/tex]

And the vertex would be

[tex](\frac{25}{2} ,\frac{625}{4})[/tex]

This means the maximum revenue will occur when x = 25/2

The maximum revenue is at a price of $11.5 each for a certain lamp

The revenue is the total amount of money that can be made from selling a number of goods.

Revenue = price * total number of items

Since the price per item is x dollars and the total number of items is 25 - x, hence:

Revenue (R) = x * (25 - x) = 25x - x²

R = 25x - x²

The maximum revenue is at dR/dx = 0, hence:

dR/dx = 25 - 2x

25 - 2x = 0

2x = 25

x = $11.5

Hence, The maximum revenue is at a price of $11.5 each for a certain lamp.

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A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario?
PLEASE ANSWER ASAP TIMED QUIZ

Answers

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that a system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped.

Let y be the depth of a toy and x is time, in seconds.

In the given graph a solid horizontal line passes through the point (0,-1) and shaded region is above the line. So, the inequality of red line is

[tex]y\geq -1[/tex]

The depth of a toy can be less than -1. It means the pool is 1 meter deep.

The blue line is a dashed line which passes through (0,0) and (2,-1).

So the slope of line is

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-0}{2-0}=-\frac{1}{2}[/tex]

The equation of blue line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

[tex]y=-\frac{1}{2}x+0[/tex]

[tex]y=-\frac{1}{2}x[/tex]

The shaded region is below the line so the required inequality is

[tex]y< -\frac{1}{2}x[/tex]

it means the toy sinks at a rate of less than 1/2 meter per second.

Therefore the correct option is 1.

Answer:The Answer is A

Step-by-step explanation: I took the test on edge

distance between coordinates -10, -
9 and 6,8​

Answers

Answer:

sqrt(545)

Step-by-step explanation:

The distance between 2 points can be found by

d = sqrt( (x2-x1)^2 + (y2-y1)^2)

  = sqrt( (6--10)^2 + (8--9)^2)

      sqrt( (6+10)^2 + (8+9)^2)

        sqrt( (16)^2 + (17)^2)

      sqrt( 256+289)

    sqrt(545)

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-10}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[6-(-10)]^2+[8-(-9)]^2}\implies d=\sqrt{(6+10)^2+(8+9)^2} \\\\\\ d=\sqrt{256+289}\implies d=\sqrt{545}\implies d\approx 23.35[/tex]

х+ бу = 18 find the x and y intercepts then graph​

Answers

Answer:

x-intercept = 18y-intercept = 3

Step-by-step explanation:

[tex]x+6y=18\\\\x-intercept\ for\ y=0:\\\\x+6(0)=18\\x+0=18\\x=18\\\\y-intercept\ for\ x=0:\\\\0+6y=18\\6y=18\qquad\text{divide both sides by 6}\\y=3[/tex]

The sum of the first two terms and the sum to infinity of a geometry progression are 48/7 and 7 respectively. Find the values of the common ratio r and the first term when r is positive.​

Answers

Answer:

r = ±1/√7

a₁ = 7 − √7

Step-by-step explanation:

The first term is a₁ and the second term is a₁ r.

a₁ + a₁ r = 48/7

The sum of an infinite geometric series is S = a₁ / (1 − r)

a₁ / (1 − r) = 7

Start by solving for a₁ in either equation.

a₁ = 7 (1 − r)

Substitute into the other equation:

7 (1 − r) + 7 (1 − r) r = 48/7

1 − r + (1 − r) r = 48/49

1 − r + r − r² = 48/49

1 − r² = 48/49

r² = 1/49

r = ±1/√7

When r is positive, the first term is:

a₁ = 7 (1 − r)

a₁ = 7 (1 − 1/√7)

a₁ = 7 − 7/√7

a₁ = 7 − √7

The value of the common ratio r is 1/√7 and the first term is 7 − √7 in the geometry progression.

What is geometric series?

The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

The first term is a

So the second term is a r.

a + ar = 48/7

The sum of an infinite geometric series is :

S = a / (1 − r)

a / (1 − r) = 7

Solve for a,

a = 7 (1 − r)

Substitute value into the equation:

7 (1 − r) + 7 (1 − r) r = 48/7

1 − r + (1 − r) r = 48/49

1 − r + r − r² = 48/49

1 − r² = 48/49

r² = 1/49

r = ±1/√7

When r is positive, the first term will be:

a = 7 (1 − r)

a = 7 (1 − 1/√7)

a = 7 − 7/√7

a = 7 − √7

Thus, the value of the common ratio r is 1/√7 and the first term is 7 − √7 in the geometry progression.

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If abc is reflected across the y-axis,what are the coordinates of c?

Answers

Answer:

(- 5, 3 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Hence

C(5, 3 ) → C'(- 5, 3 )

If ABC is reflected across the y-axis then the coordinates of c is (-5,3).

What are coordinates?

The coordinates refers to a point on the graph which are used to draw a line, a shape on the graph by plotting these points.

How to determine coordinates?

The coordinates of ABC presently are (1,3),(3,6),(5,3). If we just reflect ABC cross y-axis then on the second quadrant only the value of x changes, the value of y remains same. So we have to just put a negative sign in front of the value of x and it becomes -5 with the value of y=3.

Hence the coordinates of C is (-5,3).

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Jacob surveyed members of three different gyms and recorded the number of hours they exercised last week. The mean and standard deviation (SD).
of the data he gathered, is shown in the table.
Gym A
Mean = 7
SD = 2.9
Gym B
Mean = 8
SD = 4.2
Gym C
Mean = 6
SD = 3.2
Use the information in the table to complete the following statement
The members of gym show the most consistency in the number of hours they exercised last week, because the
of this data set is the

Answers

Answer:

Step-by-step explanation:

Given that Jacob surveyed members of three different gyms and recorded the number of hours they exercised last week.

Table is as follows:

Gym     Mean       Std dev

  A            7            2.9

  B            8            4.2

  C            6            3.2

We know that std deviation is a measure of variation of the data set from the mean.  

Hence if std deviation is the least the data would be more consistent.

Here A has the least sd

Hence The members of gym show the most consistency in the number of hours they exercised last week, because the

of this data set is the one which has lowest std deviation

Final answer:

Gym A's members show the most consistency in their exercise habits because it has the lowest standard deviation (2.9) compared to Gyms B and C.

Explanation:

The members of Gym A show the most consistency in the number of hours they exercised last week, because standard deviation of this data set is the lowest. To assess consistency among data sets, we look at the standard deviation, which measures the spread of data around the mean. A lower standard deviation indicates that the data points tend to be closer to the mean. Looking at the given data for the three gyms:

Gym A: Mean = 7, SD = 2.9Gym B: Mean = 8, SD = 4.2Gym C: Mean = 6, SD = 3.2

Gym A has the lowest standard deviation of 2.9, which suggests the members' weekly exercise hours vary less from the mean compared to Gyms B and C, indicating more consistency.

Which of the following is the best name for the following definition?
A trapezoid with congruent legs and congruent bases.

isosceles trapezoid
parallelogram
trapezoid
quadrilateral

Answers

Answer:

parallelogram

Step-by-step explanation:

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

The best name for a trapezoid with congruent legs and congruent bases is Option (B) parallelogram .

What is a trapezoid ?

A quadrilateral with at least one pair of parallel sides is called, a trapezoid. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles trapezoid).

What is the shape of a trapezoid with congruent legs and congruent bases ?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Therefore, a trapezoid having parallel sides with congruent legs and bases have the opposite adjacent sides of equal lengths. The shape thus will form a parallelogram satisfying each and every property.

Thus, the best name for a trapezoid with congruent legs and congruent bases is Option (B) parallelogram .

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What is the discriminant of the polynomial below?
2х2 + 4x - 9
А. 88
в. 22
с. -56
D. -2

Answers

Let d = discriminant

d = b^2 - 4ac

Let a = 2, b = 4 and c = -9

We now plug and chug.

d = (4)^2 - 4(2)(-9)

d = 16 - 8(-9)

d = 16 + 72

d = 88

Answer:

А. 88

Step-by-step explanation:

2х^2 + 4x - 9

This is in the form

ax^2 +bx +c

where a=2 b=4 and c=-9

The discriminant is

b^2 -4ac

Substituting into the equation

4^2 -4(2) (-9)

16 - (-72)

16+72

88

Find the inverse of 3^√256/3^√4

Answers

No Solution

Brainliest Please :)

Alex skateboarded 2 1/3 miles. Carla skateboarded 4 1/5 miles. How much farther did Carla board then Alex

Answers

Carla's distance minus Alex's distance
Carla skated 28/15 miles further than Alex. As a mixed fraction this is 1 13/15

Carla skateboarded 28/15 miles farther than Alex.

To find out how much farther Carla skateboarded than Alex, we first calculate the total distance each student skateboarded:

Alex: 2 1/3 miles = 7/3 miles.Carla: 4 1/5 miles = 21/5 miles.

Next, we find the difference:

Carla - Alex = 21/5 - 7/3 = 63/15 - 35/15 = 28/15 miles.

Therefore, Carla skateboarded 28/15 miles farther than Alex.

Find the values for c and d
that would make the following
equation true,
(cy^2) (4y^d)=-20y^3

Answers

Answer:

c=-5

d=1

Step-by-step explanation:

[tex](cy^2)(4y^d)=-20y^3[/tex]

I'm going to reorder the left-hand side.  Multiplication is commutative.

[tex](4c)(y^2y^d)=-20y^3[/tex]

Since the bases are the same in [tex]y^2y^d[/tex] and the operation is multiplication, I'm going to add the exponents giving me:

[tex]4cy^{2+d}=-20y^3[/tex]

So this implies we have two equations to solve:

[tex]4c=-20[/tex] and [tex]2+d=3[/tex]

So the first equation can be solved by dividing both sides by 4 giving you [tex]c=-5[/tex].

The second equation can be solved by subtracting 2 on both sides giving you [tex]d=1[/tex].

The mean of a set of credit scores is and . Which credit score is within a z-score of 3.3?

Answers

Answer:

720

Step-by-step explanation:

The mean of a set of credit scores is u=690 and o=14.

mean = 690  and standard deviation SD = 14

We use z- score formula

z= 3.3 given

Plug in the values and find out x

Multiply 14 on both sides

46.2 = x- 690

Now add 690 on both sides

x= 736.2

Credit score is 720 that comes under 736.2

which of the following is radical equation
algebra II engenuity

Answers

Answer:

√x+3=13

Step-by-step explanation:

The equation is √x+3=13 is radical because the unknown, x appears under a radical sign √.

To solve the equation, the unknown is left on one side of the equal sign and then both sides of the equal sign are raised to an equal power which would remove the radical sign.

For example,

√x+3=13

√x=13-3

√x=10

Removing radical.

(√x)²=10²

x=100

Identify the initial amount a and the growth factor b in the exponential function.
f(x) = 620 - 7.8^x​

Answers

Step-by-step explanation:

An exponential function has the form:

y = a · b^x

Are you sure you copied the problem correctly?  Perhaps instead of minus, you meant multiplication:

f(x) = 620 · 7.8^x

If so, then a = 620 and b = 7.8.

Three times a number is three more than twice the number. Which equation can be used to find the value of x, the unknown
number?​

Answers

Answer: what equations did they provide

Step-by-step explanation:

The answer is 3 equation is 3x-3=2x
The first statement says that the number tripled is 3 more then when it’s doubled. It means that 2x which is being doubled is equal to 3x-3.
You set it up as 3x-3=2x
To solve you subtract the 2x from both side and end up with x-3=0
And then you have to add 3 to both side to get the answer x=3

How do I solve a question like this?

(-4)5-(-6)(-4)+40

Answers

Answer:

-4

Step-by-step explanation:

We are given the following expression which we are to solve:

[tex] ( - 4 ) 5 - ( - 6 ) ( - 4 ) + 4 0 [/tex]

Since this expression includes brackets as well has plus and minus signs, so we will follow the standard order of operations to solve this expression.

Solving the brackets first to get:

[tex] ( - 2 0 ) - ( 2 4 ) + 4 0 [/tex]

Now adding all the terms up to get:

-4

Michelle's mother bought 7 large pizzas for her birthday party. Each large pizza is cut into eighths. if 5/8 of the total slices were eaten, how many slices were left over?



can you please help me with this and I will give you Brainliest.​

Answers

so we know that there are 8 slices per large pizza (7), so a total of 56 slices
we would set up a proportion
5/8=x/56
8 times 7 gives you 56, and we would do that same thing to the 5 (multiply it by 7) to get 35?
so now we know that 35 out of 56 slices were eaten
56-35 is 21
so there are 21 slices left over

What is the slope of the line that is parallel to the line represented by the equation below? 4x-5y=-1 A. 4/5 B. -4/5 C. 5/4 D. -5/4

Answers

A. 4/5

To find the slope, you need to isolate y.

4x-5y=-1

-5y= -1-4x (or -4x-1)

-y= (-4/-5)x-1/-5

y=4/5x+1/5

Match the graph with its function by translating the graph of y= √x

Answers

Answer:

hope it help!

Step-by-step explanation:

have a nice day

Graph with its function by translating the graph of y= √x is marked below.

Define function.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Given,

y = √x

However, y= √x only displays the positive y values on a graph since you can never square a negative integer because no two identical numbers multiplied together are negative, among other reasons.

Making a function is standard. Since a function may only have one value for each input, we define x as the positive real integer such that (√x)2=x for every positive real √x.

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Which equation shows how to determine the volume of the dollhouse?

Answers

Answer:

first choice

Step-by-step explanation:

The volume of a rectangular prism is L*H*B.

So the volume of the rectangular prism pictured here is 24*10*8

The volume of a triangle prism is 1/2 *H*L*B.

So the volume of the triangle prism pictured here is 1/2 *6*24*8

The volume of the whole figure is the sum of the volume of the rectangular prism and volume of the triangular prism which is in this case:

24*10*8 + 1/2 *6*24*8.

Answer is the first choice.

(It wouldn't be third because 10 has nothing to with the triangular prism part)

Find the area of a triangle with a base of 9 feet and a height of 16 feet . The area of the triangle is _ square feet

Answers

Answer:

A = 72 ft^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

A = 1/2 (9)*16

A = 72 ft^2

A = 72ft².

We have to use the area of a triangle equation A = (b*h)/2.

A triangle with a base b = 9ft and a height h = 16ft:

A = (9ft*16ft)/2 = 144ft²/2

A = 72ft²

18. The table shows the amount of money in a savings account after several weeks.
Week
au AWN
Savings
$125
$140
$155
$170
$185
$200
a. Is the sequence arithmetic or geometric? Explain Find the common difference or common ratio.
b. Write a recursive formula for the sequence.
c. Write an explicit formula for the sequence.

Answers

Answer:

a. Arithmetic

b. [tex]a_{n} = a_{n-1} + 15[/tex]

c. [tex]a_{n} = 15n + 125[/tex]

Step-by-step explanation:

A sequence is arithmetic when the difference between one term and the next is a constant. On the other hand, a sequence is geometric when the next term is found by multiplying the previous by a constant.

In this case, the next term of the sequence can be found by adding $15. Therefore, the sequence is ARITHMETIC ✔️

The recursive formula will be the following: [tex]a_{n} = a_{n-1} + 15[/tex]

The explicit formula is the following: [tex]a_{n} = 15n + 125[/tex]

what is the value of the expression -.75-(-2/5)+.4+(-3/4)

Answers

To find the value of the expression -.75-([tex]-\frac{2}{5}[/tex])+.4+([tex]-\frac{3}{4}[/tex]), you convert all terms to decimals, simplify, and add them together, resulting in -0.7.

The value of the expression -.75-([tex]-\frac{2}{5}[/tex])+.4+([tex]-\frac{3}{4}[/tex]) is calculated as follows:

First, convert the fraction [tex]-\frac{2}{5}[/tex] to a decimal to simplify the calculation, which is -0.4.

Next, understand that subtracting a negative is the same as adding the positive equivalent, so -(-0.4) becomes +0.4.

Now, add up the numbers: -0.75 + 0.4 + 0.4 - 0.75.

After performing the addition, we get -0.7 as the final value of the expression.

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