express in the simplest form in terms of the given variable.

the base and height of a triangle are consecutive odd integers, and the height exceeds the base. if the base is B cm, find the area of the triangle.

Answers

Answer 1

Answer:

an is the answer I hope so plz guide us

Answer 2

The base and height of a triangle are consecutive odd integers, and the height exceeds the base.

Area of the triangle = [tex]\frac{B^2}{2} +B[/tex]

Given :

These base is B cm . Base and height of triangle are consecutive odd integers

Step-by-step explanation:

When B is the base then height is B+2 because base and height are consecutive odd integers

So base of the triangle is B

Height of the triangle is B+2

We know that area of the triangle is 1/2 times base times height

Area of the triangle

[tex]\frac{1}{2} \cdot B \cdot (B+2)\\\\\frac{B}{2} (B+2)\\\frac{B^2}{2} +B[/tex]

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Related Questions

Need Help Please I'm Out Of Time ;(

Identify three temperatures that are colder than -5°C. Then, using complete sentences, explain how you know that they are colder.

Answers

Answer:

-7 , -9 and -10

Step-by-step explanation:

The main temperature is -5°C.

-5 is a negative number so a colder temperature will be a number that is less than -5

substracting this number from -5 will give us a positive number

-5-(-7)= 2-5-(-9)= 4 -5-(-10) = 5
-7, -9, and -10 are all colder than -5 degrees celsius

9. Annie works as a school tutor and a baker. As a tutor, she earns $18 per hour. Last
week she worked x hours as a tutor and her friend paid her $25 to bake a cake.
Write an expression to represent the total amount Annie earned last week.
Type your answer below:

Answers

18x+25

she earned $18 an hour and worked for x hours so to find the total, you multiply the two. (18x) but she earned some extra cash which is $25 so you need to add that to.

The total amount Annie earned last week 18x+25.

What is work in math ?In conclusion, when a force acts on an object to induce a displacement, labor is done.To determine the amount of work, three quantities must be known. The force, the displacement, and the angle between the force and the displacement are the three variables.

Annie  earns $18 per hour. and she worked x hours .

So, total work = 18 * x = 18x

but she earned some extra cash = 25$

now Annie's total amount with extra cash = 18x + 25

Therefore, The total amount Annie earned last week 18x+25.

Learn more about work brainly.com/question/8958704

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*DIFFICULT ANSWER PLS ANSWER !! * In the circle below, which of the following equations for major arc GE is FALSE?

Answers

Answer:

Option 1

Step-by-step explanation:

All of the other options are applicable except for Option 1

=> Major Arc GE is not equal to Minor Arc GC + Minor Arc FE

=> Rest of the options are all correct with respect to the circle.

Chose the first one it’s the correct one

Find the missing side length in the attached image

Answers

i think it’s 5. but i’m not sure.. yea i think it’s 5

Answer:

the answer is x = 14 because 9-2=7 ×2 = 14

for each graph state whether it’s a function

Answers

Answer:

Graph  1, 4, 6 are functions.

Graph  2, 3, 5 are not functions.

Step-by-step explanation:

If graph of a relation pass the vertical line test, then we can say the relation is a function.

In vertical line test, we draw a vertical line parallel to axis, if graph of relation intersect the line almost once, then we say in is a function.

To check, whether the given relation is function or not, draw verticals lines on each graph as shown below.

In graph 1, open circle means the value x=-1 is not include it that.

From the below figure it is clear that:

Graph  1, 4, 6 pass the vertical line test, so they represent functions.

Graph  2, 3, 5 does not pass the vertical line test, so they are not functions.

If abc=dec b=2x+31 and e=7x-24 x=?

Answers

Answer:

x = 11

Step-by-step explanation:

As it is stated the the both the triangle ABC and DEC are congruent, it means that all the angles forms in these triangles are also congruent. We can states that

<A = <D

<C = <C

<B = <E

As both angles B and E are equal to each other, we can equate them

<B = <E

Where <B = 2x+31 and <E= 7x-24, substitute both values in above expression:

2x + 31 = 7x - 24

Solve for x:

7x - 2x = 31 +24

5x = 55

x = 11

Answer:

11

Step-by-step explanation:

-11^3X + 10x
What is the degree of this polynomial

Answers

the degree is the highest power in the polynomial. For this the degree would be 3.

A garden hose supplies 36 gallons of water in 3 minutes.Use a table of equivalent ratios to show the garden hose's water flow in gallon per minute and minutes

Answers

Answer:

Garden hose water flow in gallons per minute(x:y) = 12:1

Minutes per gallon water flow(y:x) = 1:12

Step-by-step explanation:

Complete question below

A garden hose supplies 36 gallons of water in 3 minutes. Use a table of equivalent ratios to show the garden hose's water flow in gallons per minute and minutes per gallon.

Let

the garden hose water flow=x

Time of glow=y

x:y=36 gallons : 3 minutes

x/y=36/3

x/y=12/1

x:y=12:1

Therefore, garden hose water flow in gallons per minute is given by

x:y = 12:1

Minutes per gallon water flow

y:x=3:36

y/x=3/36

y/x = 1/12

y:x = 1:12

Therefore, minutes per gallon water flow is given by

y:x = 1:12

Table of equivalent ratio for x:y

36:3

24:2

12:1

Table of equivalent ratio for y:x

3:36

2:24

1:12

Solve for zzz. 42=-7(z-3)42=−7(z−3)

Answers

Answer:

False

Step-by-step explanation:

Well to solve for z we single it out, distribute, use the communicative property, and combine like terms.

42 = -7(z - 3)42 = -7(z - 3)

Distribute

42 = -7z + 21*42 = -7z + 21

42 = -7z + 882 = -7z + 21

-42 to both sides

-7z + 840 = -7z + 21

-21 to both sides

-7z + 819 = -7z

+7z to both sides

819 = 0

Thus,

the given equation is false.

I hope this helps :)

Write the rule for finding the coordinates of a point that has undergone a dilation (with the origin as the point of dilation). Use this rule to find the coordinates of this point’s dilation from the origin, with a scale factor of 3: (−2, 4).

Answers

Answer:

3,8

Step-by-step explanation:

2020 hehehe

Given that m angle BAC=48^ and m angle BCA=19^ , find m angle ABD

Answers

Answer:

B. 67°

Step-by-step explanation:

Step 1: Find m∠B

180 - (48 + 19) = 113°

Step 2: Use Supplementary Angles rules

180 - 113 = 67°

Answer:

m<ABD is 113 degrees

Step-by-step explanation:

The interior angles of a triangle must add up to 180 degrees.

Representing angle ABD by x, we have:

x + 48 degrees + 19 degrees => x + 67 degrees = 180 degrees.

Subtracting 67 degrees from boths sides, we get x = 113 degrees.

m<ABD is 113 degrees.

PLLLLLLLLLLZZZZZZZZZ

Answers

Answer: 4m + 3

Step-by-step explanation:

4m references the 4 bags of marbles and the m marbles in each bag.  + 3 references the extra 3 marbles.

Plz help me 3(x+1)=5+x

Answers

Answer:

x=1

Step-by-step explanation:

3x+3=5+x

3x-x+3=5

2x=2

x=1

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 1

▹ Step-by-Step Explanation

3(x + 1) = 5 + x

Distribute

3x + 3 = 5 + x

Move the variable to the left and change the sign

3x - x + 3 = 5

Collect like terms

2x = 5 - 3

Calculate

2x = 2

Final Answer

x = 1

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Which transformations can be used to carry ABCD onto itself? The point of
rotation is (3,2). Check all that apply.

Answers

Answer:

A and B

Step-by-step explanation:

For A, y=2 is the axis of vertical symmetry, meaning a reflection would map the shape onto itself.

For B, x=3 is the axis of horizontal symmetry, meaning a reflection would map the shape onto itself.

For C, a rotation of 90 degrees would make the shape taller vertically and shorter horizontally, therefore it would be wrong.

For D, a translation two units down would move all points down, even though some would need to go up, therefore it would be wrong.

Which set represents the domain of the function shown? (5 points)

{(−3, 6), (0, 2), (4, 7), (11, 15)}


{(6, −3), (2, 0), (7, 4), (15, 11)}

{2, 6, 7, 15}

{−3, 0, 4, 11}

Answers

Answer:

To make it simple, when finding the domain all you have to do is look for the x within the points.

Looking at the first set you can tell that the domain is -3, 0, 4, and 11

The y or the f(x) would be 6, 2, 7, and 15

(Just saying y and f(x) are the same thing.)

For the next set the domain is 6, 2, 7, and 15

For the f(x) it is -3, 0, 4, and 11

Remeber x and Domain is the same thing so all you have to do is look for the x within the points of the plot, as for looking for the range, it is the same thing as y or f(x).

God Bless

Hope that this helps!!!!!!!!!!!!!!

Answer:

D, -3,0,4,11

Step-by-step explanation:

A right cone has a radius of 13 cm and an altitude of 52 cm. Find its volume. Question 20 options: A) 9,486.0 cm3 B) 27,608.3 cm3 C) 28,458.0 cm3 D) 9,202.8 cm3

Answers

Answer:

D) 9,202.8

Step-by-step explanation:

The volume of a cone is [tex]\frac{\pi *r^{2} *h}{3}[/tex] so when you substitute the values you get the answer

Answer: A

Step-by-step explanation:

Which is a true statement about an exterior angle of a triangle?


A. It is formed by two segments that are sides of the triangle.


B. It forms a linear pair with one of the interior angles of the triangle.


C. It is formed by two segments that are not sides of the triangle,


D. It is complementary to one of the interior angles of the triangle.

Answers

Answer:

B. It forms a linear pair with one of the interior angles of the triangle.

hope this helped! <3

The true statement concerning the exterior angles of a triangle is that it forms a linear pair with one of the interior angles of the triangle.

What is the exterior angle of a triangle?

The exterior angle theorem asserts that the total of the opposing and non-adjacent internal angles of a triangle equals the measurement of each exterior angle.

When one side of a triangle is stretched in such a way that a non-straight angle is produced exterior of the triangle but near to an interior angle, an external angle is formed.

Therefore, we can conclude that the true statement concerning the exterior angles of a triangle is that it forms a linear pair with one of the interior angles of the triangle.

Learn more about the exterior angles of a triangle here:

https://brainly.com/question/17972372

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Determine the value of x. answers: 1) 116° 2) 122° 3) 58° 4) 238°

Answers

Answer:

B) 122

Step-by-step explanation:

This is because x will equal 180 - 58

Answer:122

Step-by-step explanation:

A meeting is held with eight people around a circular table. Two of the participants, April and May, want to sit so that there is exactly one other person between them. How many different seatings are possible? (Two seatings are considered the same if one can be rotated to obtain the other.)

Answers

Answer:

6

Step-by-step explanation:

I = Person

April I May I I I I I

I April I May I I I I

I I April I May I I I

I I I April I May I I

I I I I April I May I

I I I I I April I May

Each situation will always have 1 person between them and there will always be 8 people.

solve x²+5x=0 by completing square ​

Answers

Answer:

x= 0

x=−5

Step-by-step explanation:

x^2+5x=0

Factor out x.

x(x+5)=0

Factor out x = 0 and x +5 = 0

x=0

x=−5

Mark me as brainliest

Answer:

Step-by-step explanation:

(a +b)² = a² +2ab +b²

2ab = 5x

2*x*b = 5x

b =5x/2x

b=5/2

x² + 5x = 0

Add (25/4) to both sides

[tex]x^{2}+5x+\frac{25}{4}=\frac{25}{4}\\\\(x+\frac{5}{2})^{2}=(\frac{5}{2})^{2}\\\\[/tex]

Take square root both the sides,

[tex]\sqrt{(x+\frac{5}{2})^{2}} =\sqrt{(\frac{5}{2})^{2}}\\\\[/tex]

[tex]x+\frac{5}{2}=[/tex] ±[tex]\frac{5}{2}[/tex]

[tex]x= -\frac{5}{2}+\frac{5}{2} ; x= -\frac{5}{2}-{\frac{5}{2}\\\\x=0 ;x=\frac{-10}{2}=-5[/tex]

Solution: x = 0 or -5

In parallelogram ABCD, m∠ABD = 83°, m∠BDA = 34°, and m∠BCD = °.

Answers

This question is incomplete

Find attached to this answer the appropriate diagram required to answer the question.

This diagram was obtained online.

Answer:

63°

Step-by-step explanation:

We are told in the above question that for parallelogram ABCD, ∠ABD=83° and ∠BDA=34°.

To get the above angles, parallelogram ABCD was split into two triangles by a diagonal given us ∆ABD and ∆BCD

Remember that angles in a triangle = 180°

∆ABD has ∠ABD=83°, ∠BDA=34° and ∠DAB

180° = ∠ABD + ∠BDA+ ∠DAB

180° = 83° + 34° + ∠DAB

∠DAB = 180°-117°

=63°

Since ∆ABD and ∆BCD are similar triangles because they are from one parallelogram,

∠DAB = ∠BCD

= 63°

Therefore, the measure of the angle BCD is 63°.

Answer:

The answer is 63

Step-by-step explanation:

correct for plato

83+34+63=180

f(x) = x2. What is g(x)?

Answers

Answer:

g (x-2) = x

Step-by-step explanation:

Set up the composite result function g (f(x))

Then Evaluate g (f(x)) by substituting in the value of F into G: g (x-2) = (x-2) + 2

finally Combine the opposite terms in (x-2) + 2: add -2 and 2: g(x-2) = x+0: add x and 0: g(x-2) = x

PLEASE HELP I AM GIVING 15 POINTS INSTEAD OF FIVE FOR ANSWERING PLEASSSEEE HEEEEELLLP

Answers

Answer:

Third Choice:

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

Step-by-step explanation:

One line has

[tex] x + \dfrac{b}{2a} = \pm \dfrac{\sqrt{b^2 - 4ac}}{2a} [/tex]

The next line's reason is that b/2a was subtracted from both sides.

The missing line is:

[tex] x = -\dfrac{b}{2a} \pm \dfrac{\sqrt{b^2 - 4ac}}{2a} [/tex]

Then it simplifies to

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

A swim team must be chosen from 10 candidates. What is the greatest number of different four-person teams that can be chosen?

Answers

Answer:

210 combinations

Step-by-step explanation:

The total number of candidates given = n = 10

The number of candidates to be chosen = r = 4

As in this, the sequence of the chosen candidates doesn't matter, we can use Combination to find the solution.

C(n,r) = n! / (n-r)! (r)!

where n = 10 and r = 4

C(10,4) = 10! / (10-4)! (4)!

C(10,4) = 10! / 6! 4!

C(10,4) = (10·9·8·7·6·5·4·3·2·1) / (6·5·4·3·2·1)(4·3·2·1)

C(10,4) = (10·9·8·7) / ((4·3·2·1))

C(10,4) = 210 combinations

May i get an answer? for 10 points

Answers

Answer:

[tex]= 452.38 {cm}^{2} \\ \\ [/tex]

Step-by-step explanation:

[tex]area = 4\pi {r}^{2} \\ = 4 \times \pi \times 6 \times 6 \\ = 452.38 {cm}^{2}

[/tex]

Step-by-step explanation:

given,

radius = 6cm

area =4× pi ×r^2

so, area=4×22/7×6^2

therefore the area of sphere is 452.5714cm^2.

hope its what you are searching for..

For all 5 problems in this assignment, use the following functions:
f(x) = x + 5
g(x) = x2 4x + 5
h(x) = 3x2 - 2x + 5
Match the function with its value.
(f+g)(x)
Choose...
(f*h)(x)
Choose...
h[f(5)] -g[h(1)] Choose...

Answers

Answer:

1.) x^2 + 3x

2.) 3x^2 - 3x

3.) 278

Step-by-step explanation:

You are given the following functions:

f(x) = x + 5

g(x) = x2 + 4x + 5

h(x) = 3x2 - 2x + 5

1.) To match the function with its value,

(f+g)(x) = f(x) + g(x)

Substitutes for the two functions

X + 5 = x^2 + 4x + 5

Collect the like terms and equate them to zero

X^2 + 4x - x + 5 - 5

X^2 + 3x

Therefore, (f+g) (x) = x^2 + 3x

2.) (f*h)(x) = f(x) × h(x)

x + 5 = 3x^2 - 2x + 5

Collect the like terms

3x^2 - 2x - x + 5 - 5

3x^2 - 3x

Therefore, (f×h)(x) = 3x^2 - 3x

3.) h[f(5)] -g[h(1)]

First find f(5)

That is, substitute x for 5 in f(x)

f(5) = 5 + 5 = 10

Also, do the same for h(1)

h(1) = 3(1)^2 - 2(1) + 5

h(1) = 3 - 2 + 5 = 6

h[f(5)] - g[h(1)]

= 3(10)^2 - 2(10) + 5 - (6)^2 + 4(6) + 5

= 300 - 20 + 5 - 36 + 24 + 5

= 334 - 56

= 278

Therefore, h[f(5)] - g[h(1)] = 278

Triangle ABC is described below. Find all possible values for B, C, and c.
A= 121.50, a = 27.9 cm, b = 52.6 cm
Apply the rules regarding the use of significant digits to each angle and
length after all computations are complete.

Answers

Answer:

  no such triangle

Step-by-step explanation:

The angle 121.50° is necessarily the largest angle in the triangle. It must be opposite the longest side. Here, it is given as opposite the shorter of the given sides. No such triangle is possible.

Trying to find the missing segment to the triangle in the attached image. Any help would be appreciated. Thanks.

Answers

Answer:

24 unit

Step-by-step explanation:

This question can be solved using concept of basic proportionality theorem,

according to this theorem, if a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.

Example:

let there be a triangle ABC

if DE is drawn parallel to BC such that D is a point on line AB and E is other point on AC, then

AD/DB = AE/EC (basic proportionality theorem)

_____________________________________

Similarly in this problem

15/5 = ?/8

3= ?/8

? = 8*3 = 24

Thus. missing segment value is 24 unit.

Choose the slope and y-intercept that corresponds with the graph.

Answers

Answer:

slope 3, y intercept 4

Step-by-step explanation:

The y intercept is where it crosses the y axis

It crosses at y=4

The slope is positive since it goes from bottom left to top right

The slope is  up 3 over 1 so it is 3/1 = 3

Slope 3 y intercept 4
Slope goes up 3 and over 1 so it is 3/1 or 3

I’ve done a I just need help with b and c

Answers

Answer:

A) x+y=10 & 2x+3y=24

B) x=6

C) Substituting 6 in for x in each of the equations and finding the y factor, we see that we have 6 bottles of soda and 4 bags of chips (10 items that equals 24 dollars)

Step-by-step explanation:

A) x+y=10

2x+3y=24

B) make x+y=10 into y=10-x

Substitute 10-x in for y into the 2nd equation.

2x+3(10-x)=24

2x+30-3x=24

-1x=24-30

-1x=-6

x=6

C) Substituting 6 in for x in each of the equations and finding the y factor, we see that we have 6 bottles of soda and 4 bags of chips (10 items that equals 24 dollars)

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