An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.

Which best describes the range of possible values for the third side of the triangle?

x < 12.5, x > 18.9
12.5 < x < 18.9
x < 6, x > 26
6 < x < 26

Answer:

d = 28 cm

r = 14 cm

Step-by-step explanation:

Circumference = Pi × Diameter

( Divide both sides by Pi )

Circumference ÷ Pi = Diameter

28 ÷ π = Diameter

Diameter = 28

Radius = Half the diameter

28 ÷ 2 = 14

Answer:

Using digits it would look like 5,000,900

Answer:

c=−35

Step-by-step explanation:

Let's solve your equation step-by-step.

−5=

c

7

Step 1: Simplify both sides of the equation.

−5=

1

7

c

Step 2: Flip the equation.

1

7

c=−5

Step 3: Multiply both sides by 7.

7*(

1

7

c)=(7)*(−5)

[tex]\frac{c}{7} = -5[/tex]

***I switched the order of c/7 and -5. It means the same thing, but I just find it easier this way

To solve for c you must isolate this by bringing 7 to the other side. To do this you must multiply 7 to both sides. This will cancel 7 from the left side (the right side in the way the equation is written in the question) and bring it over to the right side

[tex]7(\frac{c}{7} ) = -5 * 7[/tex]

c = -35

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

Step-by-step explanation:

6/2 evaluates to 3

Multiply x and 3

Multiply x and 1

The x just gets copied along.

The answer is x

x

6/2*x evaluates to 3x

x+6/2*x evaluates to 4x

x+6/2*x+5 evaluates to 4x+5

4x + x = 5x

The answer is 5x+5

x+6/2*x+5+x evaluates to 5x+5

To divide 1 by x

The x just gets copied along in the denominator.

The answer is

5/x evaluates to  

The answer is

x+6/2*x+5+x+5/x evaluates to  

5 + 3 = 8

The answer is

B

x+6/2*x+5+x+5/x+3 evaluates to  

The final answer is

B

Answer:

A

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 14 and h = 4, hence

A = [tex]\frac{1}{2}[/tex] (14 × 4) = 28

Answer:

3x - 20 = 13

Step-by-step explanation:

it says difference so it cant be the last one and three times a number is 3 x so it cant be the first one leaving the middle.

please mark brainliest

The histogram would change due to the different distribution of ages when all 20 students join the same event.

A histogram is a graphical representation of the distribution of numerical data. It consists of bars, where the length or height of each bar corresponds to the frequency or relative frequency of data within a specific interval or range. Histograms provide insights into data patterns and distributions.

The histogram would change when all 20 students join the same event compared to the original because the distribution of ages would be different. The original histogram would show the number of students participating in each event, while the new histogram would show the number of students in each age group. The new histogram would have different bars representing each age group, and the heights of these bars would be determined by the number of students in each age group.

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Answer:

The answer would be D) $180,000 in bank A, $240,000 in bank B, $240,000 in bank C.

Step-by-step explanation:

You can immediately eliminate A, B and C because the question clearly states that the limit per bank is $250,000.

Answer:

D. $180,000 in bank A, $240,000 in bank B, $240,000 in bank C

Step-by-step explanation:

She needs to deposit less than $250,000 in each bank in order to be able to have that sum of money insured, in this case she could deposit it this way:

$250,000

$250,000

$160,000

But that could be too risky and too on the verge of not being accepted, you she just takes $10,000 out of every $250,000 deposits to make them $240,00, and add it to the $160,000 deposit, so she is left with three deposits of:

$240,000

$240,000

$180,000

And with this she makes sure all of her deposits are insured by staying below the $250,000 limit.

Answer:

the domain is from -5 to infinity

Step-by-step explanation:

f(x+5)+3=√x+5  +3

x+5>0

x>-5

the domain is from -5 to infinity

Answer:

A. {x | x > –5}

the greater than sign should be greater than or equal to

[tex]\bf \log_5(3)=a\qquad \qquad \log_5(4)=b\ \\\\\\ \log_5(4)=b\implies \log_5(2^2)=b\implies 2\log_5(2)=b\implies \log_5(2)=\cfrac{b}{2} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_{15}(2)\implies \stackrel{\textit{change of base rule}}{\cfrac{\log_5(2)}{\log_5(15)}}\implies \cfrac{~~\frac{b}{2}~~}{\log_5(3\cdot 5)}\implies \cfrac{~~\frac{b}{2}~~}{\log_5(3)+\log_5(5)} \\\\\\ \cfrac{~~\frac{b}{2}~~}{a+1}\implies \cfrac{b}{2}\cdot \cfrac{1}{a+1}\implies \cfrac{b}{2a+2}[/tex]

Answer: x=4y+9

Step-by-step explanation:

All of the variables, 3x, 12y, and 27 can be divided y 3, so we will simplify by dividing the whole equation by 3.

3x/3-12y/3=27/3

Which is equal to....

x-4y=9

Now you can move -4y over to the right side by changing its sign...

x=4y+9

Let the equation be 3x - 12y = 27 then, the value of x = 9 + 4y.

Given: 3x - 12y = 27

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Solve the value of x, then

Add 12y to both sides

3x - 12y + 12y = 27 + 12 y

Simplifying the above equation, we get

3x = 27 + 12y

Divide both sides by 3, then we get

[tex]$\frac{3 x}{3}=\frac{27}{3}+\frac{12 y}{3}$$[/tex]

Therefore, the value of x = 9 + 4y.

To learn more about the value of x

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Answer:

(3 (pm) sqrt(7))/2

Step-by-step explanation:

First step: Identify a,b, and c

a=2

b=-6

c=1

Second step: Find b^2-4ac (this is called the discriminant-I will call this D)

(-6)^2-4(2)(1)=36-8=28

Third step: Find the square root of the discriminant aka sqrt(D)

sqrt(28)

Let's see if we can simplify sqrt(28)

Here is there a factor of 28 that is a perfect square? How about 4? Yep!

sqrt(28)=sqrt(4)sqrt(7)=2sqrt(7).

Fourth Step: What is -b? If b=-6 then -b=6.

Fifth step: What is 2a?  2(2)=4

So the formula is

x=(-b (pm) sqrt(D))/(2a)

or

x=(step4 (pm) step 3)/(step 5)

x=(6 (pm) 2sqrt(7))/4

Simplify

x=(3 (pm) sqrt(7))/2

*pm means plus or minus

*sqrt( ) means square root of the number that follows in the ( )

Answer:

Just took it!

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have:

two triangles with base b = 6 and height h = 1

two rectangles with length l = 4 and width w = 2

one reactangel with length l = 6 and width w = 2.

The formula of an area of a triangle:

[tex]A_T=\dfrac{bh}{2}[/tex]

Substitute:

[tex]A_T=\dfrac{(6)(1)}{2}=3[/tex]

The formula of an area of a rectangle:

[tex]A_R=lw[/tex]

Substitute:

[tex]A_{R_1}=(4)(2)=8\\\\A_{R_2}=(6)(2)=12[/tex]

The surface area of the prism:

[tex]S.A.=A_T+A_T+A_{R_1}+A_{R_1}+A_{R_2}[/tex]

[tex]S.A.=3+3+8+8+12[/tex]

Answer:

The value for c is B. 49

Answer:

the answer is 12.

Step-by-step explanation:

the explanation is in the image above

Hope this helps

Answer:

(2,4)

Step-by-step explanation:

The range is the y values

y = x+5

Let y=7

7 =x+5

Subtract 5

7-5 x+5-5

2=x

Let y= 9

Subtract 5

9-5 x+5-5

4=x

The domain is (2,4)

Answer:

HJ

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

so

The slope of the line that is parallel to a line that has a slope of 3 is equal to 3

Verify the slope of the blue and red line , because their slopes are positive

Blue line

we have

C(-3,0),D(3,2)

The slope m is equal to

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

m=2/6

m=1/3

Red line

we have

H(-1,-4),J(1,2)

The slope m is equal to

m=(2+4)/(1+1)

m=6/2

m=3

therefore

The answer is the red line HJ

Answer:

3 vowel in the word and theres 6 letters so 50% 3/6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The median is the middle. The middle of 5 numbers is the third number. the list goes through 12235 so the median is 2

Answer: x=40

Step-by-step explanation:

The solution to log (25x) = 3 is 40. This is calculated by using log rules.

A function that has log terms is said to be a logarithmic function.

Some of the rules for solving log functions are as follows:

Given that,

log (25x) =3

Using basic form [tex]log_b(m)=n[/tex] ⇒ [tex]m=b^n[/tex]

Here base b=10, m=25x and n=3

Then,

log (25x) =3

⇒ [tex]25x = 10^3[/tex]

⇒ 25x = 1000

⇒ x = 1000/25

∴ x = 40.

Hence the solution of the given function is 40.

Learn more about logarithmic functions here:

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Answer:

w=32

Step-by-step explanation:

w/4 = 8

4/1 * w/4 = 8*4

w=32

6 donuts. He repacked 6 donuts into each box .

Mr. Terence had 18 boxes containing 36 donuts each, that means:

Total donuts = n° boxes*n° donuts

Total donuts = 18*36 = 648

He had in total 648 donuts.

He sold 162 donuts and repacked the rest into 81 boxes. Then:

Rest donuts = Total donuts - sold donuts

Rest donuts = 648 - 162 = 486

The rest donuts are 486 donuts.

He repacked the rest into 81 boxes, then:

n° donuts (each box) = Rest donuts/n° boxes

n° donuts (each box) = 486/81 = 6

The number of donuts that he put in each box is 6 donuts.

Answer:

Step-by-step explanation:

If you let b = x^2 the problem becomes a whole lot easier. Note that x = √b

x^2 + x - 12

Now factor this trinomial.

(x + 4)(x - 3)

Now put b back into the equation

(√b + 4)(√b - 3)

Answer:

=293.7m²

Step-by-step explanation:

Area of the shaded region = area of the circle-area of the minor segment.

The area of the minor segment is calculated as follows.

Area= Area of sector - area of the triangle bound by the radii.

=∅/360πr²-1/2r²sin∅, where r is the radius of the circle and ∅ the obtuse angle bound by the radii.

=130/360×π×11.1²-1/2×11.1²sin130

=93.43m²

Area of the whole circle =πr²

=π×11.1²

=387.08m²

Area of the shaded region

=387.08m²-93.43m²

=293.65m²

≅293.7m² to the nearest tenth.

f(x) = x² - 6x - 1

To find the axis of symmetry, use the axis of symmetry formula: -b\2a, according to the Quadratic Equation y = Ax² + Bx + C. You understand?

Answer:

[tex]f(x) = x^2 - 6x -1[/tex]

Step-by-step explanation:

To find axis of symmetry we use formula

[tex]x=\frac{-b}{2a}[/tex]

[tex]f(x) = x^2 + 3x +1[/tex]

a=1, b=3

[tex]x=\frac{-3}{2}[/tex]

[tex]f(x) = x^2 -3x - 3[/tex]

a=1, b=-3

[tex]x=\frac{3}{2}[/tex]

[tex]f(x) = x^2 + 6x + 3[/tex]

a=1, b=6

[tex]x=\frac{-6}{2}=-3[/tex]

[tex]f(x) = x^2 - 6x -1[/tex]

a=1, b=-6

[tex]x=\frac{6}{2}=3[/tex]

Answer:

Step-by-step explanation:

What do we know about that prism?

It's a rectangular prism with a square base.

Height: y (from question)

base length: x (from question)

base width: x (from question, since it's a square base).

Total volume: 150 cu inches

The question lacks a relationship between x and y the "is __ times", but we can see from the answer choices that they all show a constant relationship:

y = 1.5 x  

The volume of a prism is obtained by  multiplying the lengths of its 3 dimensions: V = length * width * height.  In our case, we then have

150 = x * x *  y

then we replace y by its x-expressed equivalent:

150 = x * x * (1.5x) = 1.5x³

then we isolate x³ by dividing each side by 1.5

x³ = 100, we do the cubic root on each side

x = 4.64

So, answer is D. x = 4.6 and y = 6.9

If you you 4.64 * 4.64 * 6.96 = you get 149.8, which is very close to 150.

Answer:

17.41

Step-by-step explanation:

497.50 x 0.035

Jodi's investment will earn $17.41 in interest in one year at an interest rate of 3.5%. Therefore, after one year, her investment will be worth $514.91.

To find out how much Jodi's investment is worth in one year, we can use the formula for simple interest, which is Interest = Principal x Rate x Time. In this case, the principal is $497.50, the rate is 3.5% (or 0.035 in decimal form), and the time is 1 year.

So, the interest earned in one year would be $497.50 x 0.035 x 1 = $17.41.

To find the total worth of her investment after one year, we add the interest earned to the initial principal. So, $497.50 (the principal) + $17.41 (the interest) = $514.91. Therefore, her investment is worth $514.91 after one year.

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Answer:

Step-by-step explanation:

Graph y = |x|.  This graph is v-shaped, opening up, with vertex at (0, 0).  Now translate this graph 4 units to the left and 2 units up.  The result is the graph of g(x) = |x + 4| + 2.

Next time, please share the possible answer choices.  Thanks.

The function g(x) is derived from the function f(x) by translating f(x) graph 4 units to the left and 2 units up

The equation of the function is given as:

[tex]g(x) = |x + 4| + 2[/tex]

The above is an absolute value function, and the equation of the parent function is:

[tex]f(x) = |x|[/tex]

This means that the function g(x) is derived from the function f(x) by translating f(x) graph 4 units to the left and 2 units up

Read more about function transformation at:

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Answer:

X=12

Step-by-step explanation:

3(80-9x)=X-96 Distribute 3 through the parenthesis

240-27x=x-96

Move the variable to the left side and change its sign

Move constant to the right side and change its sign

-27x-x+240=-96

collect the like terms

calculate the difference

-28x=-336

Divide both sides of the equation by -28

x=12

Answer:

[tex]\frac{1}{2} z[/tex]

Step-by-step explanation: