the longest side of an acute isosceles triangle is 8 centimeters. rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides?
A:4.0
B:4.1
C:5.6
D:5.7

Answers

Answer 1

4.1cm
I helped you so you're welcome

Answer 2

It is an acute isosceles triangle, so the vertex angle is smaller than 90.
if the vertex angle is 90, then it is a 45-45-90 triangle, when the longest side (the hypotenuse) is 8, each leg is 8/√2=5.65685

Because the vertex angle needs to be smaller than 90, the two equal side is larger than 5.6568, I'd go with D.

Related Questions

Old macdonald had a total of 37 chickens and pigs on this farm. there was a total of 98 feet. how many chickens were there and how many pigs?

Answers

The required, there were 25 chickens and 12 pigs on Old MacDonald's farm.

To solve this problem, we can use a system of equations to represent the number of chickens and pigs on Old MacDonald's farm. Let x be the number of chickens and y be the number of pigs. Then we have:

x + y = 37 (equation 1)

2x + 4y = 98 (equation 2)

Equation 1 represents the total number of animals, and Equation 2 represents the total number of legs. We can simplify equation 2 by dividing both sides by 2:

x + 2y = 49 (equation 3)

Now we have two equations with two variables. We can solve for x and y by using substitution or elimination. Let's use elimination by multiplying equation 1 by 2 and subtracting it from equation 3:

x + 2y = 49

-2x - 2y = -74

x = -25

Solving for x, we get:

x = 25

Substituting x = 25 into equation 1, we get:

25 + y = 37

Solving for y, we get:

y = 12

Therefore, there were 25 chickens and 12 pigs on Old MacDonald's farm.

Learn more about solutions of equations here:

https://brainly.com/question/24553498

#SPJ4

Final answer:

The equations are c + p = 37 and 2c + 4p = 98. Solving the system of equations the numbers are 26 and 11, respectively.

Explanation:

To solve this problem, we can use a system of equations.

Let's assume that the number of chickens is represented by 'c' and the number of pigs is represented by 'p'. Based on the given information, we can create two equations:

1. c + p = 37 (equation 1)

2. 2c + 4p = 98 (equation 2)

We have two equations with two variables, so we can solve this system of equations to find the values of 'c' and 'p'.

Using equation 1, we can express 'c' in terms of 'p': c = 37 - p.

Substituting this into equation 2, we get: 2(37 - p) + 4p = 98. Solving this equation, we find: p = 11.

Substituting the value of 'p' back into equation 1, we find: c = 26.

Therefore, Old MacDonald had 26 chickens and 11 pigs on his farm.

Can someone please help me I would appreciate it please!?!
I well mark brainliest if its explained and right.

Answers

The answer is: " 471 cm² " .
_____________________________________________________
The formula for the surface area, "S.A.", of a "cylinder":

S.A. = 2 π r² + 2 π r h ;

in which:

"S.A." = "surface area" of the cylinder; for which we wish to solve;

π = 3.14 (approximation we shall use) ;

r = radius = 5 cm (given; from figure);

h = height = 2 cm (given; from figure);
______________________________________
To solve for the surface area, "S.A." . let us plug in our known values, and solve:

S.A. = 2 π r² + 2 π r h ;

S.A. = 2 * (3.14) * (5 cm)² + 2 * (3.14) * (5 cm) * 10 cm) ;

= 2 * (3.14) * (5²) * (cm²) + 2 * (3.14) * 5* 10 * cm² ;

= 2 * (3.14) * (25) * (cm²) + 2 * (3.14) * 5* 10 * cm² ;

= 157 cm² + 314 cm² ;

= 471 cm² .
________________________________________________
The answer is: " 471 cm² " .
________________________________________________

The medicine capsule shown consists of a cylinder with a hemisphere at each end. The total length of the capsule is 18 millimeters. The diameter is 7 millimeters. Which choice is the best approximation of the total surface area of the capsule? Use 3.14 to approximate pi.

Answers

396 square millimeters

Answer:396

Step-by-step explanation:

In a detection experiment, randy says "yes" to 90% of the trials, and perry says "yes" to 70% of the trials. our best conclusion from this study is

Answers

Hi!

In a detection experiment in which Randy says "yes" to 90% of the trials, and Perry says "yes" to 70% of the trials. our best conclusion from this study is that response criterion may be different for Randy and Perry.

We can't say that Randy's threshold is higher than Perry's, as he says yes to most trials, and his threshold is lower.

We can't also say that they are equally sensitive because they respond differently to the trials.

Finally, we can't also say that Perry is more sensitive than Randy, because he said "yes" to a fewer percentage of trials, meaning that he is less sensitive than Randy.

The option that remains, and the right one, is that response criterion may be different for Randy and Perry because they react with a different sensitivity to the same stimulus.

Have a nice day!

What does the Pythagorean Theorem state about the sides of a right triangle if the legs of triangle have the measurement of a and b and the hypotenuse of the triangle measures c?

Answers

Basically it states that
a^2 + b^2 = c^2

Graph the following inequality and then select the correct graph below.

x - y - 2 ≥ 0

Answers

Answer:

Second graph

Step-by-step explanation:

Given inequality,

x - y - 2 ≥ 0

⇒ x - y ≥ 2

The related equation of the inequality,

x - y = 2

Having x-intercept = (2, 0)

y-intercept = (0,-2),

Also, 0 - 0 ≥ 2 ( False )

Thus, the inequality will not contain the origin,

Again,

'≥' shows the solid line.

Hence, by the above explanation it is clear that the SECOND graph would be the graph of given inequality.

marion is making trail mix for a group camping trip. she buys 3 pounds of granola for $3 per pound and 0.75 pounds of raisins for $2 a pound. what equation can you use to find the price per pound of the trail mix?

Answers

let
x-------------> pounds of granola-----------> $3 per pound
y-------------> pounds of raisins-----------> $2 per pound
z------------ > price per pounds of the trail mix

we have that
z=3x+2y--------------------- > this is the equation

for x=3 pounds of granola and y=0.75 pounds of raisins
z=3*3+2*0.75=$10.5 of trail mix

It's B on edg. 3(3) + 0.75(2) = (3 + 0.75)x

Are elite runners thinner than the average person? Devon thinks that skin thickness of elite runners is thinner than the average person. He compares a data set of elite runners to regular people by looking at the skin thickness. Which statement correctly compares the two groups?
A) The skin thickness of the elite runners varied by about 11 mm.
B) The skin thickness of the average person varied by about 11 mm.
C) The skin thickness of elite runners is on average about 11 mm thinner than that of the average person.
D) The skin thickness of the average person is on average about 11 mm thinner than that of the elite person.

Answers

The answer is C.
I hope it's right!!!!

Answer:

c is the answer

Step-by-step explanation:

Use systems of equations to solve the problem.

A farmer raises wheat and oats on 180 acres. She plants wheat on 20 more acres than she plants oats on. How many acres of each crop does the farmer plants?

Answers

x + y = 180
Y = wheat, x = oats
Y = x + 20. In the 1st equation, get y by itself getting y = 180 - x.
So 180 - x = x + 20. Subtract x on both sides to get 180 - 2x is 20. Subtract 180 to both sides is -2x = -160. Divide -2 to both sides is x = 80. So 80 + 20 is 100 wheat, and 80 oats of acres.

180-20=160÷2=80
80 acres oats
100 acres wheat

Which graph represents the function?

Answers

photomath is good for this type of thing

f(x) is undefined for x = -7. Simplifying it does not change that.

f(x) = (x +7)(x -7)/(x +7)
f(x) = x -7 . . . . . . . . . . . . . . x ≠ -7

The graph will be a line with a slope of 1 and a y-intercept of -7. It will have a "hole" at (-7, -14).

The lower-left selection is appropriate.

Simplify the expression.

A) –24n + 8mn – 100np

B) –6n – 2mn + 25np

C) –6n + 2m – 25np

D) –6n + 2mn – 25np

Answers

it is D because
-24 /4n will equal -6n because the n won't go away

8m/4n will equal 2mn because you can always have two variables on one number and the n is not going anywhere

-100p/ 4n will equal -25np because of the same reason as the upper one.

so -6n + 2mn -25np is the simplified expression

The correct answer is d

50 POINTS PLEASE HELP show work answer all 3

Answers

Answer:

b.) The graph's x-intercepts are similar to ½(x - 5)(x + 2).

a.) [-2, 0], [5, 0]

__________________________________________________________

b.) The graph has a maximum value because the graph opens down [-2 = A].

a.) [-3, -4]

__________________________________________________________

d) [0, -5]

c) -2 = x

b) [-2, -9] → [h, k]

a) -1, 5 = x

Explanation:

b) Both graphs have the binomial of [x - 5][x + 2], so the x-intercepts never altered.

a) Set the binomial equal to zero, and you will get your x-intercepts of [-2, 0] and [5, 0].

__________________________________________________________

b) When A is negative, your graph will have a maximum value [opens down], whereas when A is positive, your graph will have a minimum value [opens up].

a) According to the Vertex Formula, y = A[X - H]² + K, [H, K] represents the vertex, plus, -H gives you the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL labeling your vertex. Additionally, K gives you the NORMAL TERMS.

__________________________________________________________

d) The y-intercept is your C-term, so in this case, it is [0, -5].

c) To find the axis of symmetry, use this formula:

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

Whatever the opposite of your B-term is, you take that and divide it by twice your A-term.

b) To find the vertex, in this case, you have to go from Standard Form to Vertex Form by completing the square, using this formula to get part of your new C-term:

[tex][\frac{b}{2}]^{2} [/tex]

When done, you get this:

[tex]y = {x}^{2} + 4x + 4 \\ \\ y = [x + 2]^{2} [/tex]

Then, you have to deduct some number from 4 that gave you -5 in the first place, and that integer is -9. So, here is the result:

[tex]y = [x + 2]^{2} - 9[/tex]

From here, we can see that our vertex is [-2, -9].

a) When the binomial is set to equal to zero, you get this:

[tex]{x}^{2} + 4x - 5 \\ \\ [x - 1][x + 5] = 0 \\ \\ 1, \: -5 = x[/tex]

e) See above photograph

I am joyous to assist you anytime.

Anita brings 6 dolls to her grandmas house. These dolls represent 20% of Anita's doll collection. What is the total number of dolls in Anita's dolls collection?

Answers

let's x be the total of dolls
6=20%*x
6=20/100 *x
6*100/20=x
30=x

the total number of dolls is 30

Answer:

30 is your answer

Step-by-step explanation:

The area of a circle A is 85π ft2. ∠BAC is a central angle of the circle, and m∠BAC = 36°

What is the area of the 36° sector?

Question 1 options:

8.5πft2

10πft2

17πft2

21.25πft2

Answers

As stated the area of the circle is 85π ft2. The area of the sector BAC is a portion of this full circle area. the sector is made of 2 radii and arc that has rotated by 36°.
the magnitude of the central angle in the circle is 360°
Area for 360° central angle -  85π ft2
then the area for 1° =  85π ft2/360°
the area of 36° sector =  85π ft2/360° x 36°
=  8.5π ft2

(Please Answer Quickly)
Algebra 2 Question! I will make sure to give a medal and pin the most helpful answer!

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parabola. The equation for this parabola is y = -x^2 + 36. (Graph of a parabola opening down at the vertex (0,36) crossing the x–axis at (-6,0) and (6,0))
In the distance, an airplane is taking off. As it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow.
Analyze the two functions. Answer the following reflection questions in complete sentences. What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not? What are the x- and y-intercepts of the rainbow? Explain what each intercept represents. Is the linear function you created with your table positive or negative? Explain. What are the solutions or solution to the system of equations created? Explain what it or they represent.
Create your own piecewise function with at least two functions. Explain, using complete sentences, the steps for graphing the function. Graph the function by hand or using a graphing software of your choice.

Answers

For an airplane we need to create a function. The airplane flies in straight line so this means that we will have linear function. The airplane starts left of the rainbow. So let's take the following function:
y=x+8

"Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow."
To find the intersection points we need to solve system of two equations:
[tex]y=- x^{2} +36 \\ y=x+36[/tex]
Solution are two points:
(-1,35) and (0,36)
Now we can create a table
x -1 0 1 2
f(x) 35 36 37 38

"What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not?"

The domain represents all possible values that x can have. The range represents all possible values that y can have.
In this example not all values make sense. Rainbow goes above ground and touches it.
Limitations exist if we have fraction, root, logarithm, trigonometric function... We do not have any of these so there are no limitations, so x can have any value.
Domain: -6≤x≤6 because x can not have smaller values than those at ground touch.
The formula for parabola is:
[tex]y=a x^{2} +b[/tex]
Depending on sign of [tex] x^{2} [/tex] the maximum or minimum value of y is equal to b. All other smaller or greater values are possible.
Range: 0≤y≤36 because y can not have smaller values than those at ground touch.

"What are the x- and y-intercepts of the rainbow? Explain what each intercept represents."
x- and y- intercepts represent points at which function touches x- and y- axis.
To find y- intercept we insert x=0 into equation:
y=0+36
y=36
To find x- intercept we insert y=0
0=-[tex] x^{2} [/tex]+36
[tex] x^{2} =36 \\ x_{1} =-6 \\ x_{2} =6[/tex]

"Is the linear function you created with your table positive or negative? Explain."

Function is positive if it lies above x-axis. Function is negative if it lies below x-axis.
Positive on interval: x ∈ <-6,∞>
Negative on interval: x ∈ <-∞,-6>
Not defined: x= -6

"What are the solutions or solution to the system of equations created?Explain what it or they represent."

We already found these solutions:
[tex]y=- x^{2} +36 \\ y=x+36[/tex]
Solution are two points:
(-1,35) and (0,36)
These solutions represent points of intersection of linear function and parabola.

"Explain, using complete sentences, the steps for graphing the function."

Step 1) we need to find domain and range
Step 2) we need to find x- and y- intercepts
Step 3) if the function is exponential we find minima and maxima
Step 4) we find at least three values for the function

One leg of a right triangle measures 8 inches and the hypotenuse 17 inches. determine the length of the other leg.
a. 9 inches
b. 13 inches
c. 15 inches
d. 17 inches

Answers

the length of the other leg is 15 inches

helpppppppppppppppppppppppp

Answers

Answer:
1 / 4x

Explanation:
(4x^3) * (2x)^-4 = 4x^3 * 2^-4 * x^-4
= (4x^3) / (2^4 * x^4)
= (1/4) * (1/x)
= 1 / 4x

Hope this helps :)

First we rewrite the expression:
(4x ^ 3) * (2x) ^ - 4
Using properties of exponents we have:
(4x ^ 3) / (2x) ^ 4
Rewriting:
(4x ^ 3) / 16x ^ 4
(x ^ 3) / 4x ^ 4
(1) / (4x)
answer:
An equivalent expression is:
(1) / (4x)
option 1

What is the interquartile range of the data set? Enter the answer in the box. 20,25,30,30,31,40,41,49

Answers

To find that range, you take the biggest number minus the smallest number.

49 - 20 = 19. Hope it helps! :)

Answer:

13.0

Step-by-step explanation:

Aisha owns an apparel store. She bought some shirts and jeans from a wholesaler for $3,900. Each shirt cost $12 and each pair of jeans cost $28. If she sold the shirts at 70% profit and jeans at 125% profit, her total profit was $3,885. How many shirts and jeans did she buy from the wholesalers? 101 shirts and 96 jeans

Answers

For this case we can define the following variables:
x: shirt
y: jeans
We write the following system of equations:
12x + 28y = 3900
8.4x + 35y = 3885
We solve the system of equations:
x = 150
y = 75
Note: see attached image for the solution of the system:
Answer:
she bougth from the wholesalers
150 shirts
75 jeans

Answer:

The correct answer would be:

Step-by-step explanation:

150-shirts

75-jeans

Anybody got an answer?

Answers

For a regular n-agon with side length "s" and apothem "h", the area will be
.. A = n*(1/2)*s*h
Your area is
.. A = 10*(1/2)*(3.25 m)*(5 m) ≈ 81.3 m^2

Which pair of angle measures represents a pair of complementary angles
35 and 55
45 and 55
45 and 125
55 and 123

Answers

Complementary angles means that they add up to 90°.

Which pair add up to 90?
A.) 35 and 55 = 90
B.) 45 and 55 = 100
C.) 45 and 125 = 170
D.) 55 and 123 = 178

Hope this helps :)

The 4,000 students at Tech High were surveyed about their use of text messaging. How many students said they text 50-100 times a day?

Answers

Answer:

3000

Step-by-step explanation:

75% of 4000 students

A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. if field has a length that is twice its width, find the area of the field in square meters. ________________________________________

Answers

12 km ...................1h
12:2=6 km..............30 min

6000 m :10=600 m (the perimeter)

600m= 2(l+w)=2(2w+w)=2*3w=6w
⇒ w=600:6
w=100m
l=2*100=200m
A=w*l=200*100=20.000 m^2

Which inequality is equivalent to -6x ≥ 30?
PLEASE ANSWER AS SOON AS POSSIBLE! THANK YOU.

a: x ≥ 5
b: x ≥ -5
c: x ≤ 5
d: x ≤ -5

Answers

Hey there!

Our goal here is to isolate the variable, x. In order to do this following the dividing and algebraic property of equality (which states that the equation remains equal if you do the same thing to both sides) , we must divide both sides by the coefficient of x, -6. That gives us:

-6x/-6 ≥ 30/-6

Now, normally, we'd just complete this division - and we'd have our answer. But according to the rules of inequalities, when you multiply or divide by a negative number, the sign flips.

Thus, our answer is:

x ≤ - 5, or D.

Hope this helps!

The inequality [tex]$-6x \geq 30$[/tex] is equivalent to [tex]$x \leq -5$[/tex]. Therefore, the correct answer is option d: [tex]$x \leq -5$[/tex].

To solve the inequality [tex]$-6x \geq 30$[/tex] and find its equivalent form, follow these steps:

1. Write down the original inequality:

[tex]\[ -6x \geq 30 \][/tex]

2. Isolate [tex]$x$[/tex] by dividing both sides of the inequality by [tex]$-6$[/tex]:

- Note that when dividing both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.

[tex]\[ \frac{-6x}{-6} \leq \frac{30}{-6} \][/tex]

3. Simplify both sides:

[tex]\[ x \leq -5 \][/tex]

So, the equivalent inequality to [tex]$-6x \geq 30$[/tex] is [tex]$x \leq -5$[/tex].

Therefore, the correct answer is:

[tex]\[\boxed{\text{d: } x \leq -5}\][/tex]

Describe how to find linear expressions for the possible dimensions of a rectangular prism with a volume of 8k^3 +26k^2+ 6k.

Answers

8k ^ 3 + 26k ^ 2 + 6k
For this case, the first thing you should do is rewrite the expression.
We have then:
Step 1:
Take out common factor.
8k ^ 3 + 26k ^ 2 + 6k
2k * (4k ^ 2 + 13k + 3)
Step 2:
Factor quadratic expression.
2k * (4k ^ 2 + 13k + 3)
2k * (4k + 1) * (k + 3)
Answer:
to find linear expressions for the possible dimensions of a rectangular we rewrite the expression:
2k * (4k + 1) * (k + 3)

Which of the following best explains why one graph appears skewed and one graph appears symmetric?

The intervals on the x-axis of the histogram are too large.

The interval on the y-axis of the histogram is too small.

The interval on the x-axis of the histogram is inconsistent.

The interval on the box-and-whisker plot is too small.

Answers

Hello there!

The interval on the X-Axis of the Histogram is inconsistent:

An Histogram is a graphic representation of the frequency of values. It should include all the data range on the x-axis. In this case, the x-Axis should include all intervals from 0 to 24 years, but in the graph the intervals "jump" from 10-14 to 20-24.

This inconsistency causes the difference between the two graphics because the two of them should be skewed to the left, according to the age distribution.

Answer:

The interval on the X-Axis of the Histogram is inconsistent

Step-by-step explanation:

edge

8- 2 to the root of 4+8*2^3-(3+14-5)/12
I don't know if this makes sense but I need help with it.

Answers

[tex] 8-2^{ \sqrt{4}} +8 \times 2^{3} -\frac{3+14-5}{12} [/tex]
[tex] = 8 -2^{2} +8 \times 8 -\frac{12}{12} [/tex]
[tex] = 8-4+64-1 = 67 [/tex]

Solve the system of equations using the substitution method.

{4x+5y=7
{y=3x+9

Enter your answers in the boxes.

x=

y=

Answers

4x+5y=7
y=3x+9

1) 4x+5(3x+9)=7 2) y=3(-2)+9
y= -6 +9
4x+15x+45=7 y=3
19x+45=7
19x= -38
x= -2
x is -2 and y is 3

The current San Francisco cable railway is driven by two large 14-foot-diameter drive wheels, called sheaves. Because of the figure-eight system used, the cable subtends a central angle of 270°on each sheave. Find the length of cable riding on one of the drive sheaves at any given time.

Answers

The length of an arc is given by (θ/360)2πr, where θ is the angle subtended by the arc at the center and r is the radius.
The angle θ in this case is 270°, while the radius is 7 feet, diameter is 14 feet
Thus the length of the of the cable will be;
=(270/360)× 22/7×14
= 0.75 × 44
= 33 feet

Answer:

The length of the cable is around 32.97 feet.

Step-by-step explanation:

The problem is about a circular sector, where the angle is 270° and the lenght of the subtended arc is the arc is the unknown variable.

The radius of the drive wheel is

[tex]r=\frac{d}{2}=\frac{14}{2}=7ft[/tex]

The central angle is 270°.

The length of the arc is

[tex]L=\frac{2\pi r \theta}{360\°}[/tex]

Replacing all values, we have

[tex]L=\frac{2(3.14)(7)(270\°)}{360\°}=\frac{11869.2}{360} \approx 32.97[/tex]

Thereofre, the length of the cable is around 32.97 feet.

The sum of three numbers is 12. The first number is the difference of the other two numbers. When you add the other two numbers and subtract 8, the result will be the first number. Find the numbers.

2, 4, 6

2, 5, 5

3, 7, 2

5, 10, -3

Answers

The first group of numbers: 2, 4, 6

Other Questions

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the longest side of an acute isosceles triangle is 8 centimeters. rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides? A:4.0 B:4.1 C:5.6 D:5.7

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the longest side of an acute isosceles triangle is 8 centimeters. rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides?
A:4.0
B:4.1
C:5.6
D:5.7