If the rectangle below has an area of 32 sq. units, what is the area of the triangle?

Answer:

E.  lower principal amount​

Step-by-step explanation:

We can use an example to show how this works:

You want to buy a car and it costs $20,000. The loan lasts 5 years (60 monthly payments) and the interest rate is 10%.

If you do not make any down payment, your initial principal will be $20,000, and your monthly payment will be $424.94, your total payments = $25,496.45 and the total interests = $5,496.45.

Instead, if you make a 20% down payment, your initial principal = $16,000,  and your monthly payment will be $339.95, your total payments = $20,397.16  and the total interests = $4,397.16.

Answer:

Answer:

0.3487

Step-by-step explanation:

The probability of accepting the lot If there are 10 defective bulbs in the lot is;  0.3487

P(X = r) = ⁿ[tex]C_{r}[/tex] × [tex]p^{r}[/tex] × [tex]q^{1 - r}[/tex]

Number of bulbs taken at random = 10

We are told that if the number of defective bulbs is at most 1, then the lot is accepted.

This means that probability of success is; p = 1/10 = 0.1

q = 1 - p

q = 1 - 0.1

q = 0.9

P(X = 0) = ¹⁰[tex]C_{0}[/tex] × [tex]0.1^{0}[/tex] × [tex]0.9^{10 - 0}[/tex]

P(X = 0) = 0.3487

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Answer:

-3/2

Step-by-step explanation:

We have to see where the point lies, check the x-axis from the graph.

(-3/2, 1/2)

x = -3/2

-3/2

Step-by-step explanation:

We have to see where the point lies, check the x-axis from the graph.

(-3/2, 1/2)

x = -3/2

Answer:  ln5 - ln2 ≈ 0.919

Step-by-step explanation:

[tex]\int\limits^2_1 {\dfrac{2x}{x^2+1}} \, dx\qquad \qquad =\int\limits^2_1 {(x^2+1)^{-1}} \, 2xdx[/tex]

Let u = x² + 1    →    du = 2x

[tex]\text{Then we have:}\quad \int\limits^2_1 {u^{-1}} \, du \qquad =ln|u|\bigg|^2_1[/tex]

Substitute u = x² + 1

[tex]ln|x^2+1|\bigg|^2_1\quad =ln|2^2+1|-ln|1^2+1|\quad = ln|5|-ln|2|[/tex]

Answer:

Step-by-step explanation:

14. x=4

vertical line(no slope) with one coordinate being (4,0)

15. y=2

horizontal line(no slope) with one coordinate being (0,2)

16. 2x-y=5

slope= 2; two coordinates are (0,-5) and (2,-1)

17. y-1=(x+3)

slope= 1; two coordinates are (-4,0) and (0,4)

HOPE THIS HELPS!!! :)

Answer

the answer is (-3,-5)

Step-by-step explanation:

Answer:

a=129

Step-by-step explanation:

the angles are complementary which is is 180

51+a=180

a=180-51

a=129

a) The theoretical probability of landing on A or E is 2/5. This is because there are two sections we want to land on (either A or E) out of 5 sections total.

--------------------------

b) The empirical probability of landing on A or E is 3/10, which was reduced from 6/20. This is because there are 4+2 = 6 times we landed on either A or E out of 20 spins total.

--------------------------

c) Due to the nature of random events, the theoretical and empirical probabilities will not match up perfectly (basically every random experience will be different for each person). This is especially true for small sample sizes. However, as you do more spins, you should find that the empirical probabilities will slowly approach the theoretical probability. The theoretical probability is always going to be 2/5 for this problem; while the empirical probabilities will bounce around because of the nature of random chance.

Answer:

c

6 whole hours

Step-by-step explanation:

Answer:

Length = 5 units, Area = 51 unit squared

Step-by-step explanation:

For the length of the midsection (I think this is what you're talking about):

Method 1.

Draw the graph and count the units across for the length.

Method 2.

The lowest y coordinates are the 0 from point A and the 0 from point B: this means that the line between point A and B is the bottom line of the trapezoid.

The highest y coordinates are the 6 from point C and the 6 from point D: this means that the line between point C and D is the top line of the trapezoid (parallel to line AB).

Since the length of the midsection is essentially the shorter line of the two parallel lines, it is the length between point C and point D.

(10, 6) - (5, 6) = 5, so the length of the midsection is 5 units.

For the area:

Step 1. Add the lengths of the pair of parallel lines.

5 units + 12 units = 17 units

Step 2. Divide the answer to step 1 by 2.

17 units ÷ 2 = 8.5 units

Step 3. Multiply the answer to step 2 by the height between the two parallel lines.

6.5 units x 6 units = 51 units squared

Hopefully this was what you were looking for!

Bluey :)

Answer:

b<0

Step-by-step explanation:

b(b-a)>10

-5=b and -10=a for instance plug in

-5(-5-10)>10

-5(-15)>10 (negative x negative is positive)

75>10

Answer:

I think the closest to the correct answer is choice B:

[tex]f^{-1} (x)=\frac{1}{x-1}[/tex]

Step-by-step explanation:

the accurate answer is: [tex]f^{-1} (x)=-\frac{1}{1-x}[/tex]

Answer:

5, -1, -7, -31

Step-by-step explanation:

When you plug in x digits you get these numbers.

By substituting different values of x, corresponding values of function y are 5, -1, -7, and -31 obtained as shown in the table.

"A linear function is a mathematical expression which, when graphed, will form a straight line. A linear function is a simple function usually composed of constants and simple variables without exponents"

For the given situation,

The function is y=-6x-1.

Substitute the different values of x in function y, to obtain the value of y.

For x = -1,

[tex]y=-6(-1)-1[/tex]

⇒ [tex]y=5[/tex]

For x = 0,

[tex]y=-6(0)-1[/tex]

⇒ [tex]y=-1[/tex]

For x = 1,

[tex]y=-6(1)-1[/tex]

⇒ [tex]y=-7[/tex]

For x = 5,

⇒ [tex]y=-31[/tex]

The table below shows the values of x and the function y.

Hence we can conclude that by substituting different values of x, corresponding values of function y are obtained as shown in the table.

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Answer:

slope: 1.) 2 ,,, 2.) 3/4

y-int: 1.) (0,3) ,,, 2.) (0,-2)

graph: attached in pictures/ blue line represents y=2x+3 ,,, red line represents y=3/4-2

Step-by-step explanation:

Answer:

7, 10, 15, 22, .... 106

3, 12, 27, 48, .... 300

Step-by-step explanation:

Plug n as 1, 2, 3, 4, and 10 to find the terms.

(a)

1² + 6

1 + 6 = 7

2² + 6

4 + 6 = 10

3² + 6

9 + 6 = 15

4² + 6

16 + 6 = 22

10² + 6

100 + 6 = 106

(b)

3(1)²

3(1) = 3

3(2)²

3(4) = 12

3(3)²

3(9) = 27

3(4)²

3(16) = 48

3(10)²

3(100) = 300

Answer:

a) n²+6

U1 = 1²+6 = 1+6=7

U2= 2²+6 = 4+6 = 10

U3= 3³+6= 9+6= 15

U4= 4²+6= 16+6 = 22

U10= 10²+6 = 100+6= 106

So= 7, 10, 15, 22,... 106

b) 3n²

U1= 3(1)²= 3(1)= 3

U2= 3(2)²= 3(4) = 12

U3= 3(3)²= 3(9)= 27

U4= 3(4)²= 3(16)= 48

U10= 3(10)²= 3(100)= 300

So= 3, 12, 27, 48,..., 300

Answer:

242,000 is the present value of the house.

Step-by-step explanation:

Answer:

242,000 represents the value of the house

Step-by-step explanation:

Answer:

(x+ (b/2a))^ 2 = (b/2a) ^2 + c/a

Step-by-step explanation:

ax²+bx=c

first we know the form of a square

(x+a)^2 = x^2 + 2ax +  a^2

we have to write the given ax²+bx=c in the above form

for that we bring c on LHS

for the we subtract c from both sides

ax²+bx -c =c - c

=> ax²+bx - c = 0

now we see that in x^2 + 2ax +  a^2 , term x^2 does not have any coefficient,

so in our equation we get rid of coefficient a from  ax²+bx - c = 0

for that we divide both LHS and RHS by a

(ax²+bx - c)/a = 0/a

x²+bx/a - c/a = 0

now we have to write (b/a)x in form of 2ax

for we divide and multiply (b/a)x by 2

thus we have

x²+2 (b/2a)x - c/a = 0

now comparing above equation with x^2 + 2ax +  a^2

we see that 2ax is same 2 (b/2a)x

thus (b/2a) is same as a in standard form of quadratic equation  x^2 + 2ax +  a^2

now we have to get   a^2

as (b/2a)  is same as a

we add and subtract square of (b/2a) on LHS

x²+2 (b/2a)x - c/a + (b/2a) ^2 - (b/2a) ^2 = 0

rearranging it

x²+2 (b/2a)x  + (b/2a) ^2 - (b/2a) ^2 -c/a = 0

=> x^2 + (b/2a)x + (b/2a) ^2 -(b/2a) ^2 -c/a = 0

=> (x+ (b/2a))^ 2 - ((b/2a) ^2 + c/a ) = 0

=> (x+ (b/2a))^ 2 = (b/2a) ^2 + c/a  answer

Answer:

Step-by-step explanation:

The alternate exterior angles with angle 11 are angle 13 and angle 5.Step-by-step explanation: Two angles are called Alternate exterior angles if1. They are on the exterior side of parallel lines and2.  Lie on the opposite sides of the transversal line.It is given that r\\ s andt\\ u. From the figure it is noticed that the angle 13 and angle 5 are on the exterior side of parallel lines and they lie on the opposite sides of the transversal line.Therefore  alternate exterior angles with angle 11 are angle 13 and angle 5.

Answer:

<5=<16

Step-by-step explanation:

Define - An angle is said to be another angles exterior angle if

           1) It on either side of transversal

          2) Both the angles r exterior angle

Here <16 is the one and only exterior angle of <5 as it satisfies the rules for the same.

Therefore....

<16 is the exterior angle of <5

there is only 1 exterior angle

Sry dude....but the ans of above guy is wrong

Hope this helps.....

PLS PLS PLS mark my ans as brainliest :)

Answer:

The prime factors of a number are all the prime numbers that, when multiplied together, equal the original number. You can find the prime factorization of a number by using a factor tree and dividing the number into smaller parts.

Step-by-step explanation:

Answer:

1. an ordered pair is a pair or numbers in a specific order. It's a set of points.

2. The x-value is always first in an ordered pair, y-value second

3. The distance between the points is 5 units

Step-by-step explanation:

1. For example, (x,y)

2. no explanation needed

3.You can find the distance of two points by using the distance formula [tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]. To find the distance between (4,3) and (4,-2), we can plug the points into the distance equation. When solved, we get d=5, so the distance between the two points is 5 units.

hope this helps! please give brainliest!!

An ordered pair is a pair of values. The order in which the values appear is very important, since (x, y) is a whole different thing from (y, x).

The first in an ordered pair is the x-value, since mathematics usually goes by the order of the alphabet: a before b, and x before y.

The distance between two points in a coordinate plane is [tex]d = \sqrt{(x1 - x2)^2 + (y1 - y2)^2}[/tex], which is the distance formula.

The distance between (4, 3) and (4, -2)...

d = [tex]\sqrt{(4 - 4)^2 + (3 - (-2))^2}[/tex] = [tex]\sqrt{0^2 + 5^2}[/tex] = [tex]\sqrt{5^2}[/tex] = plus or minus 5.

Since distance can't be negative, the distance between the coordinates is 5 units.

Answer:

Step-by-step explanation:

The typical isosceles trapezoid will have a uniform width, measured vertically, but two ends that are not square (not perpendicular to the x-axis.  The two sloping ends are congruent (their slopes have exactly the same slope.

The same could be said of an isosceles trapezoid that is vertical; the sloping ends have the same slope.

Answer:

2 parallel sides

2 non-parallel, congruent sides

Step-by-step explanation:

As any other quadrilateral, an isosceles trapezoid has 4 sides. 2 sides must be parallel. The other two sides cannot be parallel but must be congruent.

Answer:

Three angles measuring 40, 70, and 65

Step-by-step explanation:

The angles of a triangle must total 180.

40+70+65=175, so it cannot be a triangle.

Answer:

X<=5 and you would graph it with a closed dot on five and an arrow going left of it.

Step-by-step explanation:

Answer:

[tex]a<5\\\\a\in R[/tex]

Step-by-step explanation:

In several ways, for example, let:

[tex]a[/tex], an arbitrary constant, where:

[tex]a\in R[/tex]

Besides:

[tex]a< 5[/tex]

Because the number can be greater than five.

Therefore, the graph, would be all number over the interval:

[tex](-\infty, 5)[/tex]

As you can see, all numbers bellow the line [tex]y=5[/tex].

Answer: 1

Step-by-step explanation: first you need to pretend that the absolute value bars are parentheses. Then substitute a with any number less that five, for example z=3

Now we can write our new equation: (3-6)-(3-5) now we have to determine if the final answer inside the parentheses is positive or negative. In the first parentheses 3-6=-3 with is negative. In our second parentheses we have 3-5=-2 which is a also negative.

Knowing that both parentheses are negative results we can set up an equation using z instead of 3:

-(z-6)-(-(z-5)) is our new equation. If we simplify this equation we get 1 for an answer

Answer:

1

Step-by-step explanation:

If z < 5, then both |z-6| and |z-5| gets negative value, so:

Answer is: 1

Answer:

True all for v

Step-by-step explanation:

All real numbers are solutions.

Answer:

72cm2 (2 means squared)

Step-by-step explanation:

you add all the sides once you get the are for each side. To do that you multiply l(w)

Answer:

The surface area of the rectangular prism is [tex]136cm^{2}[/tex]

Step-by-step explanation:

What is surface area?

Surface area is the amount of space covering the outside of a three-dimensional shape.

What is rectangular prism?

A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid.

Given, length l= 7cm

          breadth b=6cm

          height h=2cm

The surface area of the cuboid is,

=2(lb+bh+lh)

=2(7*6+6*2+2*7)

=2(42+12+14)

=2*68

=136 [tex]cm^{2}[/tex]

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Answer:

A

Step-by-step explanation:

Hey there! I'm happy to help!

First, let's turn these into improper fractions. We keep the denominators and to find the new numerator you multiply the denominator by the whole number and add then numerator.

[tex]\frac{18}{5} *\frac{19}{7} =\frac{342}{35} =9\frac{27}{35}[/tex]

Therefore, the answer is 9 27/35. Now you can multiply mixed numbers!

Have a wonderful day!

Answer:

As a mixed number the answer to your question will be 9 27/35 or 6 3/7

The steps will be below.

Step-by-step explanation:

You first have to convert theses mixed numbers to fractions.

3 3/5 ,multiply the 5x3=15 and add the 3 which will be 18/5.

Since we converted 3 3/5 to a fraction now it’s 2 5/7 turn!

2 5/7 will be 19/7 because 7x2=14 and 14+5 will give us 19/7.

Finally since we have our two fractions (18/5) and (19/7), it’s time to find the answer!

Now if we multiply both of the factions we get the answer.

18/5 X 19/7

= 9 27/35 or 6 3/7

(For 6 3/7 we have to multiply the whole numbers and the fractions to get that answer)

Hope this helps!

Answer:

The answer is given below

Step-by-step explanation:

The statements are not given but from this definition, you should be able to select the correct statement.

Triangles are said to be congruent if they have the same size and shape. A triangle is made up of six (three sides and three angles) but only three is usually needed to prove triangle congruence. These are:

a) Side - Side - Side (SSS): Two triangles are congruent if the length of their three sides are equal to each other.

b) Side- angle- side (SAS): If two sides and one angle of a triangle is equal to two sides and a angle of another triangle then the two triangles are congruent to each other.

c) Angle - side - angle (ASA): If two angles and a side of a triangle are equal to a corresponding two angles and a side of another triangle then the two triangles are congruenr.

d) Right angle - hypotenuse - side (RHS): If for two right angled triangles, their hypotenuse and a side (leg) are equal, then the two triangles are congruent.