Two vectors with magnitudes of 6 and 9 have a dot product equal to –27.

Find the angle between the vectors.

150°
120°
60°
30°

Answer:

[tex]x=21[/tex]

Step-by-step explanation:

See attachment for triangle

The relationship between length x, length 24 and angle 30 is as follows:

[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

In this question;

[tex]Adjacent = x[/tex]

[tex]Hypotenuse= 24[/tex]

[tex]\theta = 30[/tex]

Substitute these values in the above expression,

[tex]\cos(30) = \frac{x}{24}[/tex]

Multiply through by 24

[tex]24 * \cos(30) = \frac{x}{24} * 24[/tex]

[tex]24 * \cos(30) = x[/tex]

Reorder:

[tex]x = 24 * \cos(30)[/tex]

[tex]x = 24 * 0.8660[/tex]

[tex]x = 20.784[/tex]

[tex]x=21[/tex] --- approximated

Answer:

is there something suggested?

Answer:

Yes.

Step-by-step explanation:

Because 12:8=12/8=3/2.

And 18:12=18/12=3/2.

Answer:

x = 2

DG = 4

Step-by-step explanation:

The thing to know about the incenter of a triangle, is that the segments to each side are equidistant. In other words, they are identical lengths.

This means that ED = FD = GD.

Which means:

DE = DF

x^2 = 20 - 8x

So we need to solve for X. I would solve this using factoring:

Subtract 20 from both sides.

x^2−20=−8x

Add 8x to both sides.

x^2−20+8x=0

Rearrange the polynomial to put it in standard form. Place the terms in order from highest to lowest power.

x^2+8x−20=0

Factor the left hand side by grouping. First, the left hand side needs to be rewritten as x^2+ax+bx−20. To find a and b, set up a system to be solved.

a+b=8 ab=1(−20)=−20

Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −20.

(−1,20) (−2,10) (−4,5)

Calculate the sum for each pair.

−1+20=19

−2+10=8

−4+5=1

The solution is the pair that gives sum 8.

a=−2 b=10

Rewrite x^2+8x−20 as (x^2−2x)+(10x−20).

(x^2−2x)+(10x−20)

Factor out x in the first and 10 in the second group.

x(x−2)+10(x−2)

Factor out common term x−2 by using distributive property.

(x−2)(x+10)

To find equation solutions, solve x−2=0 and x+10=0.

x = 2

x = −10

In this case, X is equal to 2 as the solution -10 doesn't make much sense given the context of the problem.

To find DG we just need to plug the solution back into one of the equations and solve:

20 - 8x

20 - 8(2)

20 - 16 = 4

DG = 4

Answer:

x=2

Step-by-step explanation:

Answer:

substitute -4 for x

Step-by-step explanation:

A function assigns the value of each element of one set to the other specific element of another set. The value of the function when the value of x is -4 is 92.

A function assigns the value of each element of one set to the other specific element of another set.

Given that F(x)=3x²-10x+4, therefore, the value of the function can be calculated by substituting the value of x as -4.

Therefore, the value of the function when the value of x is -4  can be calculated as shown below,

F(x) = 3x² - 10x + 4

F(-4) = 3(-4)² - 10(-4) + 4

        = 3(16)  + 40 + 4

        = 48 + 40 + 4

        = 92

Hence, the value of the function when the value of x is -4 is 92.

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Answer:

D. 12%

Step-by-step explanation:

64-56.32= 7.68

(7.68÷64)×100= 12%

hope this helps! please mark me brainliest..

have a good day ahead

Answer:

D. 12%

Step-by-step explanation:

1. Find the amount of money Caroline saved

Original - spent

Subsitute in the given values,

64 - 56.32 = 7.68

2. Set up a proportion

A proportion is

[tex]\frac{part}{whole} = \frac{percent}{100}[/tex]

Substitute in the values;

[tex]\frac{7.68}{64}=\frac{percent}{100}[/tex]

Cross products;

(7.68)(100) = (64)(percent)

768 = 64 * percent

Inverse operations;

768 = 64 percent

/64      /64

12 = percent

Caroline had a 12% discount.

Answer:

The average speed per hour of Shelly is 5.25 minutes.

Step-by-step explanation:

We can do proportion to solve this.

[tex] \frac{21 \: miles}{4 \: hours} = \frac{x}{1 \: hour} \\ \frac{4x}{4} = \frac{21}{4} \\ x = 5.25[/tex]

Answer: i believe it’s A

Step-by-step explanation:

By ASA criteria, ΔQMP is congruent to ΔRNP.

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a figure as shown in the image.

In ΔQMP and ΔRNP -

∠QPM = ∠NPR {Vertically opposite angles}

QM = NR {Given}

∠MQP = ∠NRP {Alternate interior angles}

So, by ASA criteria, ΔQMP is congruent to ΔRNP.

Therefore, by ASA criteria, ΔQMP is congruent to ΔRNP.

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Answer:

65.94cm

Step-by-step explanation:

The two equivalent equations to find the circumference of a circle are:

Circumference = 2 * pi * radius

Circumference = pi * diameter

Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:

Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm

Answer:

x is -9 is an extraneous solution

Step-by-step explanation:

Given the expression

x/4 = x²/3(x+3)

We are to find the value of x

Cross multiply

3x(x+3) = 4x²

3x²+9x = 4x²

3x²-4x² = 9x

-x² = 9x

-x = 9

x = -9

Hence the value of x is -9 is an extraneous solution

Answer:

$70

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Well, 1/3 is in between 0 and 1. Only D is in between 0 and 1.

Answer:

It’s A

Step-by-step explanation:

Answer:

1. biweekly

2. pay period

3. salary

4. semimonthly

5. wage

Answer:

biweekly- every two weeks

pay period- a time period in which income us earned

wage- a payment based on actual working time or actual production

salary- a payment based on time period

semimonthly- twice a month

Step-by-step explanation:

Answer:

y = 2.52x

y = cost, x = pounds of cranberries.

each pound costs 2.52

Step-by-step explanation:

5.04/2 = 2.52

Step-by-step explanation:

7

1 ---

18

hope it helps !

Answer:3

Step-by-step explanation:

Use equation for slopes: y1- y2/ x1_ x2=

-11-(-5)/-3-(-6)=3

Answer:

you have a 90 degree angle and to find your answer subtract 90-63=27.

Step-by-step explanation:

Answer:

14+33x

Step-by-step explanation:

you have to break it up

4x(-3)+33x+26 MILTIPLY

-12+33x+26 CALCULATE

Solution is 14+33x

I HOPE THIS HELPS YOU

Two mountain bikers are riding on a 35-mile trail. Abel started at the beginning of the trail and is riding at a rate of 14 miles per hour. Neal started 6 miles ahead of Abel and is riding at a rate of 11 miles per hour. When will the boys be at the same point on the trail?

If Abel’s journey is represented by the equation d = 14t, where d represents the total distance and t represents time in hours, what equation represents Neal’s journey?

d =  11t + 6

11 and 6 are your answers

Please mark Brainliest

Answer:

11 and 6 are correct

Step-by-step explanation:

Answer:

what is x?

Step-by-step explanation:

Answer:

We reject H₀, with CI = 90 % we can conclude that the mean numbers of times identified with Ti-84 does not exceed that of the Ti-89 by more than 1,80

Step-by-step explanation:

Ti-89 Calculator

Sample mean     x = 31,5

Sample standard deviation   s₂  = 8,35

Sample size        n₂ = 11

Ti-84 Calculator

Sample mean     y = 46,2

Sample standard deviation   s₁  = 9,99

Sample size        n₁ = 12

t(s)  = ( y - x - d ) / √s₁²/n₁ + s₂²/n₂

t(s)  = 12,9 / √(99,8/12) + (69,72/11)

t(s)  = 12,9 / √8,32 + 6,34

t(s)  = 12,9 / 3,83

t(s) = 3,37

Test Hypothesis

Null Hypothesis               H₀      y - x > 1,80

Altenative Hypothesis       Hₐ      y - x ≤ 1,80

We have a t(s) = 3,37

We need to compare with t(c)   critical value for

t(c) α; n₁ +n₂-2            df = 12 +11 -2     df  = 21

If we choose  CI = 95 %    then  α = 5 %   α = 0,05

From t-student table

t(c) = 1,72

t(s) = 3,37

t(s) >t(c)

t(s) is in the rejection region therefore we accept Hₐ with CI = 95 %

Step-by-step explanation:

The length of a rectangle, l = 3 units

The breadth of a rectangle, b = 4 units

Nancy needs to increase both the length and the width of the rectangle by 2 units.

The area of a rectangle is given by

A = length(l) × breadth(b)

Here,

A = 3 × 4

= 12 unit²

If both length and width of the rectangle increase by 2 units,

New length = (4+2) = 6 units

New width = (3+2) = 5 units

New area = 6 × 5 = 30 unit²

Hence, new area becomes 30 unit².

Answer:

the first choice

Step-by-step explanation:

(1,0) and (9,1)

The graph of a function f is the set of all points (x,f(x)). Any point on the graph satisfy the equation of the graph. To check whether a point lie on a graph we need to put the x value and y value of the point to the equation of the graph and check the LHS and RHS . If LHS is equal to RHS , then this point lie on the graph.

The given equation of graph is y=log₉(x)            ...........(i)

Putting both the points on the LHS and RHS of (i) we get

For point (1,0) , LHS = 0 and RHS = log₉(1)=0

Therefore LHS=RHS for the point (1,0).

For point (9,1), LHS= 1 and RHS= log₉(9)=1

Therefore  LHS=RHS for the point  (9,1).

Therefore (1,0) and (9,1) lie on graph of equation (i).

Putting both the points on the LHS and RHS of (i) we get

For point (0,1), LHS=1 and RHS=log₉(0) is undefined

Therefore LHS≠RHS for the point (0,1).

For point (1,9), LHS= 9 and RHS= log₉(1)=0.

Therefore LHS≠RHS for the point (1,9).

Therefore (0,1) and (1,9) does not lie on graph of equation (i).

Putting both the points on the LHS and RHS of (i) we get

For point (1,0), LHS=0 and RHS=log₉(1)=0.

Therefore LHS=RHS for the point (1,0).

For point (9,0), LHS= 0 and RHS= log₉(9)=1.

Therefore LHS≠RHS for the point (9,0).

Therefore (1,0) lie on (i) but 9,0) does not lie on graph of equation (i).

Putting both the points on the LHS and RHS of (i) we get

For point (1,0), LHS=0 and RHS=log₉(1)=0

Therefore LHS=RHS for the point (1,0).

For point (9,9), LHS= 9 and RHS= log₉(9)=1.

Therefore, LHS≠RHS for point(9,9).

Therefore (1,0) lie on (i) but 9,9) does not lie on graph of equation (i)

Hence, the points (1,0) and (9,1) lie on the graph of y=log₉(x).

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Answer:

The values are:

Step-by-step explanation:

Given:

To Determine:

a = ?

b = ?

c = ?

Determining the values of a, b, and c

Using the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

Using the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

given

(x₁, y₁, z₁) = (1, 2, b) = P

(x₂, y₂, z₂) = (c, -7, 4) = Q

m = (x, y, z) = (-3, a, -1) = R

substituting the value of (x₁, y₁, z₁) = (1, 2, b) = P,   (x₂, y₂, z₂) = (c, -7, 4) = Q, and m = (x, y, z) = (-3, a, -1) = R in the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

as (x, y, z) = (-3, a, -1), so

[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

Determining 'c'

-3 = (1+c) / (2)

-3 × 2 = 1+c

[tex]1+c = -6[/tex]

[tex]c = -6 - 1[/tex]

[tex]c = -7[/tex]

Determining 'a'

a = (2+(-7)) / 2

[tex]2a = 2-7[/tex]

[tex]2a = -5[/tex]

[tex]a = -5/2[/tex]

Determining 'b'

-1 = (b+4) / 2

[tex]-2 = b+4[/tex]

[tex]b = -2-4[/tex]

[tex]b = -6[/tex]

Therefore, the values are:

Answer:

I think you have not written the full question

Answer:

not sure,but i will tell you when i figure it out

Step-by-step explanation:

Answer:

2.5 hours

Step-by-step explanation:

The ratio - 300: 5 is the same as 60:1

150:x should equal 60:1

You divide 150 by 60 to get your answer

Answer:

2.5 hours

Step-by-step explanation:

Just divide 5 by 2 to get the same ratio! Hope this helps