If b=4 units and h=5 units, the area of the triangle is _____
units2.

Answer:

No solution

Step-by-step explanation:

[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {y = 3x - 4}} \right. \\\\[/tex]

Multiply the second equation by 2 to make the "x" coordinates the same.

[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {2(y = 3x - 4)}} \right. \\\\[/tex]

[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {2y = 6x - 8}} \right. \\\\[/tex]

Subtract 6x from the first equation with the second equation

[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {-2y = -6x + 8}} \right. \\\\[/tex]

[tex]\rightarrow 0y = 0x + 12[/tex]

Simplify the R.H.S

[tex]\rightarrow 0 \neq 12[/tex]

This system of equation has no solution.

Answer:

54.98 cm squared

To find the area of the shaded region, we first need to know the area of the entire figure and the area of the circle.

To find the area of the circle, we use the formula pi times r^2

r is the radius, which can be found by multiplying the diameter by 1/2

1/2 x 16 = 8

Now we have pi times 8^2

8^2 = 64

Now we have pi times 64

Let's say that pi = 3.141 in this situation. We could be more exact and say 3.14159265... but that is probably not what your teacher wants.

64 x 3.141 = 201.024

So, we have the area of the circle.

Now we need the area of the entire figure.

Well, that's just length times width.

16 x 16 = 256

So, to find the area of the shaded region, we just have to find the difference between 256 and 201.024

256 - 201.024 = 54.976

We can round that to 54.98, or if you want, to 55.

The quarterly payment on a 4-year loan of $16,231 at 5. 1% compounded quarterly is $1508.31.

Principle P= $16,231

Rate of interest r= 5.1% compounded quarterly

Tenure n= 4 year =16 quarters

The formula for quarterly payment is given as:

Quarterly payment = [tex]\frac{P*r/100(1+r/100)^n}{(1+r/100)^n-1}[/tex]

Where P=principle

r =quarterly rate of interest

n=tenure

Quarterly payment =[tex]\frac{16231*(5.1/100)(1+5.1/100)^16}{(1+5.1/100)^16-1}[/tex]

Quarterly payment =$1508.31

Therefore, the quarterly payment on a 4-year loan of $16,231 at 5. 1% compounded quarterly is $1508.31.

To get more about quarterly payments visit:

https://brainly.com/question/25792915

1 foot = 12 inches

56 inches / 12 inches = 4.66 feet = 4 feet and 8 inches

Answer:

4 feet and 8 inches

Step-by-step explanation:

To convert a high number of inches to feet you divide it by 12 since 12 inches makes 1 foot.

So 56÷12 = 4 reminder 8

The remainder we keep it as inches

So our answer is 4 feet and 8 inches.

Answer:

1. D, 2. B

Step-by-step explanation:

1. D. 1.15b

2. -4(x + 2) - 1/2(2x - 6)
(-4x -8) - (x - 3)
B. - 5x - 5

Hope this helps :)

Answer:

if one gallon is 4.99, 20 gallons?

write a ratio to make it easier

gallon : price

1 4.99

20 x

cross multiply,

x = 20 × 4.99

x=99.8

Answer:

d because a straight line has the angle of 180

The first group of three wolves can be formed in 28 ways.

We have been given that Nine wolves, eight female and one male, are to be released into the wild three at a time.

What is the meaning of combination?

A combination is a combination of n things taken k at a time without repetition.

We need to choose 1 male wolf out of 1 wolf male. So  we can choose one wolf as

[tex]c(1,1)=\frac{1!}{1!(1-1)!} =\frac{1!}{1!}=1!=1[/tex]

We can choose 1 male wolf in only 1 way.

Since the female wolfs are identical that means order doesn't matter, so we will use combinations.

We can choose 2 female wolves out of 8 as

[tex]C(8,2)=\frac{8!}{2!(8-2)!} =\frac{8\times 7 \times 6!}{2\times 1\times 6!} =\frac{8\times 7}{2} =28[/tex]

Therefore, we can choose 2 female wolves out of 8 female wolves in 28 ways.

We have to find number of ways in which the first group of three wolves can be formed we will multiply the ways of choosing 1 male wolf and 2 female wolves.

Number of ways farming first group of three wolves

1(28)=28

Therefore, the first group of three wolves can be formed in 28 ways

To learn more about the combination visit:

https://brainly.com/question/25821700

To attempt this algebraic equation we will be multiplying 4 to (3 - x) bracket so as to form the term on L.H.S.

[tex]:\implies\tt{4(3 - x) = (1 - 2x)}[/tex]

[tex]:\implies\tt{(12 - 4x) = (1 - 2x)}[/tex]

[tex]:\implies\tt{12 - 4x = 1 - 2x}[/tex]

Combining like terms, we get,

[tex]:\implies\tt{12 - 1 = - 2x + 4x}[/tex]

[tex]:\implies\tt{11 = 2x}[/tex]

[tex]:\implies\tt{2x = 11}[/tex]

[tex]:\implies\tt{x = \frac{11}{2} }[/tex]

[tex]:\implies\tt{x = 5.5}[/tex]

Hey there!

4(3 - x) = (1 - 2x)

4(3) + 4(-x) = 1 - 2x

12 - 4x = 1 - 2x

-4x + 12 = -2x + 1

ADD 2x to BOTH SIDES

-4x + 12 + 2x = -2x + 1 + 2x

SIMPLIFY IT!

-2x + 12 = 1

SUBTRACT 12 to BOTH SIDES

-2x + 12 - 12 = 1 - 12

SIMPLIFY IT!
-2x = -11

DIVIDE -2 to BOTH SIDES

-2x/-2 = -11/-2

SIMPLIFY IT!
x = 11/2

Therefore, your answer should be:

x = 11/2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The correct answer is actually D

Step-by-step explanation:

i am 100% correct because i just answered this

See

Two equally packed snacks means

So if no of friends be 5

Option D

Step-by-step explanation:

Judge A: 41  (0.20 x 40)+(0.35 x 45)+(0.20 x 30)+(0.25 x 45)

Judge B: 42.75 (0.20 x 45)+(0.35 x 45)+(0.20 x 40)+(0.25 x 40)

Judge C: 38 (0.20 x 35)+(0.35 x 40)+(0.20 x 35)+(0.25 x 40)

Total score: 40.6

When given three side lengths:

      --> the three sides lengths that can form a triangle are the ones where

      the sum of two side lengths of a triangle is always greater than the

      third side

Thus the choice that fits the requirement is choice (C).

Hope that helps!

Answer:

Step 1: Identify the coordinates of each of the vertices of the triangle.

Step 2: Translate each point by adding the horizontal translation value to the x-coordinate of each vertex and the vertical translation value to the y-coordinate of each point. For these translations, add a negative number if the horizontal translation is to the left or if the vertical translation is downward.

Step 3: Plot the three translated points and draw the triangle by connecting each pair of points with a straight line.

Step-by-step explanation:

Triangle: A triangle is a three-sided geometric figure made by connecting each pair of points in a set of three with straight lines. The points that define a triangle are known as vertices

Answer:

A = 2/15 in^2

Step-by-step explanation:

To find the area of a rectangle, we multiply length times width

A = l*w

A = 2/5 * 1/3

A = 2/15 in^2

Answer:

[tex]\sf area=\dfrac{2}{15} \ in^2[/tex]

Step-by-step explanation:

Area of a rectangle = width x length

Given:

Substitute these values into the equation are solve:

[tex]\sf \implies area=\dfrac13 \times \dfrac25[/tex]

[tex]\sf \implies area=\dfrac{1 \times 2}{3 \times 5}[/tex]

[tex]\sf \implies area=\dfrac{2}{15} \ in^2[/tex]

Step-by-step explanation:

Step by Step Solution



STEP1:Equation at the end of step 1

STEP2:

22b5 Simplify ———— 9b

Dividing exponential expressions :

 2.1    b5 divided by b1 = b(5 - 1) = b4

Final result :

4b4 ——— 9

Answer:80.8%

Step-by-step explanation:

£1200=100%

£970=

£970*100%/£1200=80.8333333

80.8%

Answer:

19.2%.

Step-by-step explanation:

Reduction = 1200-970 = £230,

% reduction = 230*100/ 1200

= 19,2%

Answer:

Lin needs to do 16 more chores if she wants to be able to pay the park fee

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

2130 per month

Step-by-step explanation:

25,560 / 12

2130

Answer:

2/9

Step-by-step explanation:

Answer:

z = 60 and x = 4.25 or 17/4

Step-by-step explanation:

Z = 60°

8x + 86 = 180-60

8x + 86 = 120

8x = 120 - 86

8x = 34

x = 4.25 or 17/4

Answer:

D

Step-by-step explanation:

this is not standard form

Answer:

D

Step-by-step explanation:

The first number should be equal to or greater than one but less than 10

Answer:

Step-by-step explanation:

2⁵ = 2*2*2*2*2

     = 32

Answer: See below

Step-by-step explanation:

4) [tex]p(5.8 < x < 8.8)=0.7838[/tex] (By calculator)

5) [tex]p(x \leq 4.8)=0.0032[/tex] (By calculator)

6) [tex]P(x > 9.8 \text { or } x < 5.8)= P(x < 5.8)+P(x > 980)[/tex]

[tex]\begin{array}{ll}\text { Now } \quad & P(x > 9.8)=0.0345 \\\text { and } \quad & P(x < 5.8)=0.0345\end{array}[/tex]

[tex]p(x > 9: 8 \text { or } x < 5.8)=0.069[/tex]

7) No, there are no outliers in the data set

Method 1 :

replace x and y by their value 1 and 3

3 = 4(1) - 1 = 4-1 = 3

2(1) + 3 = 2 + 3 = 5

correct

Method 2 :

y = 4x - 1

2x + y = 5

y = 4x - 1

y = -2x + 5

y - y = 4x - 1 - ( -2x + 5 )

0 = 4x - 1 + 2x - 5

6x - 6 = 0

6x = 6

x = 6/6 = 1

y = 4x - 1

y = 4(1) - 1

y = 3

correct

Answer:

Yes the points (1,3) is the solution for the systems of equations that are shown

Step-by-step explanation:

y = 4x - 1

plug in the numbers

3 = 4(1) - 1

3 = 4 - 1

3 = 3 so this is correct

2x + y = 5

plug in the numbers

2(1) + 3 = 5

2 + 3 = 5

5 = 5

so that means the points are also a solution for BOTH

Answer:

C.

Step-by-step explanation:

Because of the K And j = K and L.Those are equal of the length.

And also, I believed the angel of K is 130 degrees ...

I hope it can help you a lots...Thanks.

Answer:

C

Step-by-step explanation:

typical property of isoceles triangle

properties:

1.- Base angles are equal

2. has two sides equal

☆the two above are key to identifying an isoceles triangle

the one above satisfies no.2

brainliest please

Answer: 150 cubic feet

Step-by-step explanation:

Formula: area of base x height (length x width x height)

Volume of small rectangle: 5 x 2 x 3 = 30

Volume of large rectangle: 10 x 6 x 2 = 120

Add them together: 120 + 30 = 150

Answer:

8490.56 yd^2

Step-by-step explanation:

find radius by dividing 104 by 2

we get 52 yd

now the area of circle is [tex]\pi r^{2}[/tex]

we use 3.14 for pi

so 3.14 times 52*52

3.14 times 2704

8490.56

Answer:

10 + 16 = 26

16 + 26 = 42

26 + 42 = 68

(C) the next three terms are 26, 42, 68

Answer:

[tex]x\leq 4[/tex]

Step-by-step explanation:

Given:

[tex]-\frac{1}{2}x+8\ge 6[/tex]

Solve:

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

[tex]-\frac{1}{2}x+8-8\ge \:6-8[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-\frac{1}{2}x\ge \:-2[/tex]

[tex]Multiply\:both\:sides\:by\:-1[/tex]

[tex]\left(-\frac{1}{2}x\right)\left(-1\right)\le \left(-2\right)\left(-1\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{1}{2}x\le \:2[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}2[/tex]

[tex]2\cdot \frac{1}{2}x\le \:2\cdot \:2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x\leq 4[/tex]

[tex]\mathrm{Therefore,}[/tex]

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:4\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:4]\end{bmatrix}[/tex]

~lenvy~

Answer:

The perimeter is 2 times greater.

Step-by-step explanation: