Two sides of a triangle measure 8 inches and 10 inches respectively which of these is NOTa possible length for the thirds side of a triangle . Please show ur work Bc I have too !!



A) 12 inches

B) 16 inches

C) 17 inches

D) 18 inches

The distance formula for a triangle is the Pythagorean Theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The distance formula for a triangle is the Pythagorean Theorem, which outlines a relationship between the three sides of a right triangle. Specifically, the theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. To find the distance between two points in a triangle, you must first determine the length of all three sides. Once you know the lengths of all three sides, you can use the Pythagorean Theorem to calculate the distance between the two points. To use the theorem, you must first calculate the square of the hypotenuse. Then, you must square the lengths of the other two sides and add them together. Finally, you can take the square root of the sum of the squares to calculate the distance between the two points.

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The angle ABC is 86°.

By geometry, we know that triangles are formed by knowing three distinct points in a plane. In this case, the three points (A, B, C) are on the circumference. In addition, we know that the sum of the internal angles within a triangle equals 180°.

Then, the size of the angle ABC is found by the following expression:

\(\angle ABC = 180^{\circ} - \angle BAC - \angle ACB\) (1)

If we know that \(\angle BAC = 23^{\circ}\) and \(\angle ACB = 71^{\circ}\), then the value of the angle ABC is:

\(\angle ABC = 180^{\circ} - 23^{\circ} - 71^{\circ}\)

\(\angle ABC = 86^{\circ}\)

The angle ABC is 86°.

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The largest interval of x-values where the function is increasing is (-1, 1)

The table of values is added as an attachment

From the table, the function f(x) decreases from x = -3 to x = -1 and x = 1 and x = 2

So, we make use of the intervals

x = -1, 0 and 1

From the table,

From x = -1 to 0, the change is 3

From x =  0 to 1, the change is 3

From x =  -1 to 1, the change is 6

Using the above highlights, the largest increasing interval is (-1, 1)

Hence, the largest interval of x-values where the function is increasing is (-1, 1)

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Answer:

22,600

Step-by-step explanation:

5

your equation is written in y = mx + b

where m is your slope.

5 = m

Answer:

First part= SSS

Second part=0.2

Third part=78

Answer:

A.

On edge.

Step-by-step explanation:

Thus, as the limit is less than 1, by the Ratio Test, the series ∑n=1[infinity]an converges absolutely.

The Ratio Test is a useful tool for determining whether an infinite series converges or diverges.

To use the Ratio Test, we take the limit of the absolute value of the ratio of successive terms as n approaches infinity. If this limit is less than 1, then the series converges absolutely.

If the limit is greater than 1, then the series diverges. If the limit is equal to 1, then the Ratio Test is inconclusive, and we must try another test.

To apply the Ratio Test to the series ∑n=1[infinity]an, we need to compute the ratio of successive terms:
|an+1/an| = |(n+3)! e(n+1) - 6(n+2) + 5‾‾‾‾‾√| / |(n+2)! e(n) - 6(n+1) + 5‾‾‾‾‾√|

Simplifying this expression, we get:
|an+1/an| = [(n+3)/(n+2)]e / [6(n+2)/(n+3) + 5‾‾‾‾‾√]

As n approaches infinity, both the numerator and the denominator approach infinity, so we can apply L'Hopital's Rule to find the limit:

lim n→∞ |an+1/an| = lim n→∞ [(n+3)/(n+2)]e / [6(n+2)/(n+3) + 5‾‾‾‾‾√]
= lim n→∞ e(n+1) / (6 + 5(n+2)/(n+3)‾‾‾‾‾√)
= e/5‾‾‾‾‾√

Since the limit is less than 1, by the Ratio Test, the series ∑n=1[infinity]an converges absolutely. This means that the series converges regardless of the order in which the terms are summed, and we can find its value by summing the terms in any order.

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The vertex of the function f(x) = |x + 8| - 3 is (-8, -3).

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given is an absolute value function,

f(x) = |x + 8| – 3

For a function of the form,

f(X) = a |x - h| + k, the vertex of the function is the point (h, k).

Comparing the equation with the given one,

f(x) = |x + 8| – 3

f(x) = |x - (-8)| + (-3)

So we get, h = -8 and k = -3.

So vertex is (-8, -3).

Hence the vertex is (-8, -3).

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Answer:

No, this is not a function.

Step-by-step explanation:

This is not a function because not every input goes to exactly one output. In this example, 2 is listed twice. 2 goes to both 4 and 8. Because of this, it is not a function.

Answer: 102

Step-by-step explanation:

\(x=-2\ \ \ \ \ y=4\\\\8x^2-xy+y^2-xy^2+14=\\\\8(-2)^2-(-2)(4)+(4)^2-(-2)(4)^2+14=\\\\8(-2)(-2)-(-8)+(4)(4)-(-2)(4)(4)+14=\\\\32+8+16+32+14=\\\\102\)

Answer:

diameter=18 in

radius=9 in

area=254.47 in

circumference=56.55 in

Step-by-step explanation:

Key

C=Circumference

D=Diameter

R=Radius

A=Area

π=pi=3.14159265359

Formulas

2r=d

d/2=r

πr^2=a

(2πr)=c

Brainliest Plz

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

the least value is negative 9 x 10-³

the greatest value is positive 7 x 10-⁵

Answer:

2,4,1,3

Step-by-step explanation:

So, I labeled each one, 1,2,3, and 4 respectively.

1, when expanded is 0.000005

2 is equal to -0.009

3 is simple 0.00007

and 4 is -0.0000002

Obviously the one of the negative numbers is the smallest. The bigger number with the negative sign is more negative because it is farther away from one on the number line. Therefore 2 is the smallest. That makes 4 the second smallest. 3 is larger than 1 because there are less zeros to the first non-zero digit. That places the order from least to greatest as:

2,4,1,3

The expression  that equals the fraction is option B:  \(\frac{s^7}{7r^4}\)

Algebraic expression division is referred to as the opposite operation of algebraic expression multiplication. Similar to how we divide numbers, we cancel the common terms when dividing algebraic formulas.

To solve this problem, we have to divide the expressions by one another. However, only we can only separate each and divide those with like terms. This can easily be done using division law of indices.

In the given expression

=  \(\frac{6rs^9}{42r^5s^2}\)   (divide through the numerator and denominator)

=   \(\frac{s^7}{7r^4}\)

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Answer:

\(170in^3\)

Step-by-step explanation:

\(V=\pi r^2h=\pi *3^2*6=169.646\\=170in^3\)

The title "Reflexive Property" accurately describes the main focus of the proof.

The title that best describes the proof is "Reflexive Property." The proof includes the statement "CO = CO" (statement 4), which indicates that a segment is congruent to itself.

This statement represents the reflexive property, which states that any segment or angle is congruent to itself. Therefore, by stating that CO is congruent to itself, the proof utilizes the reflexive property.

The other statements in the proof, such as drawing an angle bisector and using SAS (Side-Angle-Side) and CPCTC (Corresponding Parts of Congruent Triangles are Congruent), are not directly related to the reflexive property.

Hence, the title "Reflexive Property" accurately describes the main focus of the proof.

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Answer:

The decimal is 4.980

Step-by-step explanation:

BRAINLIEST PLS

Answer: 1,3,5

Step-by-step explanation:

Just took the quiz

Answer:

2,3,5

Step-by-step explanation: i got it right on my test

i hope this helps sorry if it didn't

You are given the expected number of people who drop out due to relapse and those who move out of the study area, along with their respective standard deviations. Since the numbers are supposed to be independent, you can simply add the expected values to find the expected number of people who will drop out due to either reason.

Step 1: Note the expected number of people dropping out due to relapse, which is 10.
Step 2: Note the expected number of people dropping out due to moving away, which is 6.
Step 3: Add the expected values from Steps 1 and 2: 10 + 6 = 16.

The expected number of people who will drop out due to either relapse or moving away is 16. Therefore, the correct answer from the group of choices is 16.

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Answer: the answer is the first one ,the third one , and the fourth

Step-by-step explanation:5x5 25

15x15 225

Step-by-step explanation:

x^12

.....................................

The initial size of the bacteria culture is 33

The count of the bacteria after 10 days = 200

The count of bacteria after 20 days = 1200

The difference in time = 20 - 10

= 10 days

Then the exponential growth equation will be

1200 = 200×\(e^{10k}\)

\(e^{10k}\) = 1200 / 200

Divide the terms

\(e^{10k}\) = 6

10k = ln(6)

10k = 1.79

k = 1.79 / 10

Divide the terms

k = 0.179

Use the same equation to find the initial size of the bacteria culture

200 = x × \(e^{10(0.179)}\)

x = 200 / \(e^{10(0.179)}\)

x = 200 / 5.99

Divide the terms

x = 33.38

x ≈ 33

Hence, the initial size of the bacteria culture is 33

The complete question is:

The bacteria count in a certain culture was 200 after 10 days and 1200 after 20 days. assume the bacteria are growing exponentially. Find the initial size of the bacteria culture

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Answer:

sin(angle) = opposite/hypotenuse

Sin(39) = 9/ hypotenuse

hypotenuse = 9/sin(39)  = 14.3011

x = 14.30

Step-by-step explanation:

Answer:

To experimentally verify that the base angles of an isosceles triangle are equal, we will need two isosceles triangles of different sizes.

Materials needed:

Two sheets of paper

Ruler

Pencil

Protractor

Scissors

Experiment:

Draw a large isosceles triangle on one sheet of paper by drawing a straight line at least 20 cm long. Then draw two additional lines from each end of the first line to meet at the top, forming an isosceles triangle. Label the base as "AB" and the other two sides as "AC" and "BC."

Measure and mark the midpoint of the base "AB."

Using a ruler, draw a perpendicular bisector through the midpoint of the base. This line should create two congruent segments.

Measure each angle formed by the intersection of the perpendicular bisector and the two sides of the triangle. Use a protractor to measure these angles.

Repeat steps 1-4 with a smaller isosceles triangle on the second sheet of paper. The smaller triangle should have a base of at least 10 cm and two sides of equal length.

Compare the measurements of the angles of both triangles. If the triangles are truly isosceles, then the two angles opposite the base (ACB) should measure the same in both triangles.

Cut out both isosceles triangles along their outlines.

Fold each triangle along the perpendicular bisector line drawn in step 3 so that the two congruent segments come together.

If the angles opposite the base are indeed equal, then the two sides of each triangle should match up perfectly when folded along the perpendicular bisector. If they do not match up, then the triangles are not truly isosceles.

By repeating this experiment with different sized isosceles triangles, we can verify that the base angles of any isosceles triangle are always equal.

Answer:

86.6%

Step-by-step explanation:

1. Divide the amount of points Mary got from the test by maximum amount of points

26/30≈0.866

2.Multiply that by hundred

0.866*100=86.6

Answer: 86.6%

Answer:

Given:

148

�

+

231

�

=

527...

�

�

1

148x+231y=527...eq1

and

231

�

+

148

�

=

610...

�

�

2

231x+148y=610...eq2

To find:

Find the value of x and y.

Solution:

Concept to be used:

Add both equations.

Subtract both equations.

Solve new equations to find x and y.