What is the messure of angle 4

Answer:

y=2x

Step-by-step explanation:

If the line is parallel to 4x-2y=6, it means that it has the same slope. So let's first find the slope.

Rearranging, we get

-2y=-4x+6

2y=4x-6

y=2x-3.

So, the slope is 2.

Next, we can use the point slope formula

y-y_1=m(x-x_1)

Substituting, we get

y-2=2(x-1)

y-2=2x-2

y=2x

Answer:

Option A. [tex]b=20.8\ units[/tex]

Step-by-step explanation:

we know that

Applying the law of sines

[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)}[/tex]

substitute the values and solve for b

[tex]\frac{10.73}{sin(25\°)}=\frac{b}{sin(55\°)}\\ \\ b=10.73*sin(55\°)/sin(25\°)\\ \\b=20.8\ units[/tex]

Answer:

    20.8          option A  

Step-by-step explanation:

sine law for triangle states that

sin A / a  = sin B / b = sin C / c   ( equation for sine law )

where m A = 25°

           m B = 55°

a = 10.73

b = unknown

from the equation for sine law

sin m A / a = sin m B / b

sin 25° / 10.73 = sin 55° / b

0.4226 / 10.73 = 0.8191 / b

0.0394 = 0.8191 / b  equation 2

cross multiply equation 2 becomes

0.0394 b = 0.8191

therefore b = 0.8191 / 0.0394 = 20.789 to the nearest tenth will be 20.8

Answer:

60°

68°

76°

193°

Step-by-step explanation:

step 1

Calculate the sum of the interior angles in a pentagon

The formula to calculate the sum of the interior angles is equal to

S=(n-2)180°

where

n is the number of sides

In this problem

n=5 sides

substitute

S=(5-2)180°=540°

step 2

Find the value of x

(x-8)+(3x-11)+(x+8)+(x+(2x+7)=540°

(8x-4)=540°

8x=540°+4°

x=544°/8=68°

step 3

Find the measures of the internal angles of the pentagon

(68-8)°=60°

(3*68-11)=193°

(68+8)=76°

68°

(2*68+7)=143°

was the answer they put right?

Answer:

45 degrees

Step-by-step explanation:

Inscribed angles are always half of the value of the central angle, therefore half of 90 degrees would be 45 degrees.

I would use the centimeter to measure the height of a bird.

I’m assuming centimeters because km is like miles and mm is for something else not for height

Answer:

6(N + 12) = 40

Step-by-step explanation:

Number = N

Sum of a number and twelve:

N + 12

Six times the sum of a number and twelve:

6(N + 12)

Six times the sum of a number and twelve is forty:

6(N + 12) = 40

Answer:

6(N+12) = 40

Step-by-step explanation:

The statement says six times the sum . . .

From this we can tell that the answer will be 6 times two numbers added together. Those two numbers are "a number" (some variable) and 12.

We can tell that the variable is N, so it answer must be 6(N + 12) = 40

All you have to do is divide 9/50, which equals 0.18 Move the decimal 2 units to the right to get 18% as your answer

Hope this helps you!

The 9 is 18% percent of 50.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 18\div 100\\\\= 9\div 50[/tex]

So here we can conclude that The 9 is 18% percent of 50.

Learn more: brainly.com/question/6201432

Answer:

Step-by-step explanation:

The correct zero(s) where the lens material starts and ends are at x = 4 and x = 8.

To find the zero(s) of the quadratic equation [tex]-0.5x^2 + 6x - 16 = 0[/tex]  , we can use the quadratic formula, which is given by:

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

where a, b, and c are the coefficients of the quadratic equation [tex]ax^2 + bx + c = 0.[/tex]

For the given equation, a = -0.5, b = 6, and c = -16. Plugging these values into the quadratic formula, we get:

[tex]\[ x = \frac{-6 \pm \sqrt{6^2 - 4(-0.5)(-16)}}{2(-0.5)} \][/tex]

[tex]\[ x = \frac{-6 \pm \sqrt{36 - 32}}{-1} \][/tex]

[tex]\[ x = \frac{-6 \pm \sqrt{4}}{-1} \][/tex]

[tex]\[ x = \frac{-6 \pm 2}{-1} \][/tex]

Now, we have two possible solutions for x:

[tex]\[ x = \frac{-6 + 2}{-1} = \frac{-4}{-1} = 4 \][/tex]

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

Therefore, the zero(s) where the lens material starts and ends are at x = 4 and x = 8. These are the points where the lens maker cuts the lens material along the x-axis for fitting.

Answer:

(x,7) or (x,10)

Step-by-step explanation:

It is given that two vertices of a right triangle have coordinates (3, 7) and (3, 10), we can see that the x-coordinate is same for both vertices, therefore it is a vertical line and thus base of the right angle triangle.

We need to find the height of this triangle which will be perpendicular to this line, so the value of y-coordinate of third point must be either 7 or 10.

Example

(8,7)

Answer:

see explanation

Step-by-step explanation:

To convert from degree to radian measure

radian measure = degree measure × [tex]\frac{\pi }{180}[/tex], thus

radian measure = 186 × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{31\pi }{30}[/tex]

The pentagon was reflected across the x-axis. By looking at Point A, you can see x was increased 8, x+8. Also, y was increased by 2, y+2.

Answer:

The correct option is c.

Step-by-step explanation:

From the given figure it is clear that the vertices of preimage are A(-5,-2), B(-7,-3), C(-6,-6), D(-3,-5) and E(-3,-3).

The vertices of image are A'(3,6), B'(5,5), C'(4,2), D'(1,3) and E'(1,5).

If figure translated 2 units right and 8 units up then

[tex](x,y)\rightarrow (x+2,y+8)[/tex]

The vertices of pentagon after translation.

[tex]A(-5,-2)\rightarrow A_1(-3,6)[/tex]

[tex]B(-7,-3)\rightarrow B_1(-5,5)[/tex]

[tex]C(-6,-6)\rightarrow C_1(-4,2)[/tex]

[tex]D(-3,-5)\rightarrow D_1(-1,3)[/tex]

[tex]E(-3,-3)\rightarrow E_1(-1,5)[/tex]

If the figure reflected across y-axis, then

[tex](x,y)\rightarrow (-x,y)[/tex]

The vertices of pentagon after translation by rule [tex](x,y)\rightarrow (x+2,y+8)[/tex] followed by reflection across y-axis are

[tex]A_1(-3,6)\rightarrow A'(3,6)[/tex]

[tex]B_1(-5,5)\rightarrow B'(5,5)[/tex]

[tex]C_1(-4,2)\rightarrow C'(4,2)[/tex]

[tex]D_1(-1,3)\rightarrow D'(1,3)[/tex]

[tex]E_1(-1,5)\rightarrow E'(1,5)[/tex]

The pentagon ABCDE translated according to the rule [tex](x,y)\rightarrow (x+2,y+8)[/tex] and reflected across the y-axis to create A'B'C'D'E'.

Therefore, the correct option is c.

Answer:

width = 2ft and length = 9ft

Step-by-step explanation:

width W = x

length L = x +7

area of a rectangle A = L * W

18 = (x + 7) * x

18 = x² + 7x

x² + 7x -18 =0

solve the equation by factorisation

x² -2x + 9x - 18 =0

x(x - 2) + 9(x - 2) =0

(x - 2)(x + 9) = 0

x = 2 and -9

therefore the width is 2ft because it is positive and the negative value is ignored

the length = 2 + 7 = 9ft

Answer:

width = 2ft and length = 9ft

Step-by-step explanation:

All sides of a square/cube are the same. Since this is a cube, you'll find the volume by "cubing" (get it?) 4.4m.

4.4³ or 4.4 * 4.4 * 4.4 = 85.184m³ but you can round that to 85m³

I hope that helps!

ANSWER

[tex]( f \circ \: g)( - 5)= -53[/tex]

EXPLANATION

The given functions are:

f(x) = -­2x ­- 7 and g(x) = ­-4x + 3

[tex]( f \circ \: g)(x) = f(g(x))[/tex]

[tex]( f \circ \: g)(x) = f( - 4x + 3)[/tex]

[tex]( f \circ \: g)(x) = - 2( - 4x + 3) - 7[/tex]

Expand:

[tex]( f \circ \: g)(x) = 8x - 6 - 7[/tex]

[tex]( f \circ \: g)(x) = 8x - 13[/tex]

We substitute x=-5

[tex]( f \circ \: g)( - 5) = 8( - 5) - 13 = -53[/tex]

Answer:

[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:-14,-21\:>\:[/tex]

[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=7\sqrt{13}[/tex]

Step-by-step explanation:

The given points have coordinates; P=(5,4), Q=(7,3), R=(8,6), and S=(4,1).

[tex]^{\to}_{PQ}=^{\to}_{OQ}-^{\to}_{OP}[/tex]

[tex]^{\to}_{PQ}=<\:7,3\:>\:-\:<\:5,4\:>[/tex]

[tex]^{\to}_{PQ}=<\:7-5,3-4\:>\:[/tex]

[tex]^{\to}_{PQ}=<\:2,-1\:>\:[/tex]

[tex]^{\to}_{RS}=^{\to}_{OS}-^{\to}_{OR}[/tex]

[tex]^{\to}_{RS}=<\:4,1\:>\:-\:<\:8,6\:>[/tex]

[tex]^{\to}_{RS}=<\:4-8,1-6\:>\:[/tex]

[tex]^{\to}_{RS}=<\:-4,-5\:>\:[/tex]

[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:2,-1\:>\:+4\:<\:-4,-5\:>\:[/tex]

[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:2,-1\:>\:+\:<\:-16,-20\:>\:[/tex]

[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:2-16,-1-20\:>\:[/tex]

[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:-14,-21\:>\:[/tex]

The correct answer is C

The magnitude is given by:

[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{x^2+y^2}[/tex]

[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{(-14)^2+(-21)^2}[/tex]

[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{196+441}[/tex]

[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{637}[/tex]

[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=7\sqrt{13}[/tex]

The correct answer is B

Answer:

y=48

Step-by-step explanation:

5/7=35/y+1

Step 1: Cross-multiply.

5 /7=35/y+1

5*(y+1)=(35)*(7)

5y+5=245

Step 2: Subtract 5 from both sides.

5y+5−5=245−5

5y=240

Step 3: Divide both sides by 5.

5y /5=240/5

y=48

HOPE THIS HELPS!!

Answer:

smallest value of x = -1

Largest value of x = 7

Step-by-step explanation:

[tex]x^2-6x=7[/tex]

coefficient of x = -6

Half of the coefficient of x = -6/2 = -3

Square of the half value [tex]=(-3)^2=9[/tex]

Add the square value on both sides of equation

[tex]x^2-6x+9=7+9[/tex]

[tex](x-3)^2=16[/tex]

Take square root

[tex]x-3= \pm \sqrt{16}[/tex]

[tex]x-3= \pm 4[/tex]

[tex]x-3=+4[/tex] or [tex]x-3=-4[/tex]

[tex]x=+4+3[/tex] or [tex]x=-4+3[/tex]

[tex]x=7[/tex] or [tex]x=-1[/tex]

Hence smallest value of x = -1

Largest value of x = 7

C is the correct answer

Answer:

a. Translated down  5 units.

b.  Translated 1 to the left.

c.  Stretched vertically  by a factor 2.

Step-by-step explanation:

a. It is translated down by 2 - (-3) = 5 units.

b. The x in f(x) is replaced by (x + 1) to gives g(x).

It is translated left by 1 unit.

c.  The 2 stretches it vertically by a factor of 2.

Using translation concepts, it is found that the correct options are given by:

a) it is translated down 5 units.

b) it is translated left 1 unit.

c) it is stretched vertically by a factor of 2.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem:

More can be learned about translation concepts at https://brainly.com/question/4521517

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Answer:

40

Step-by-step explanation:

The given geometric series is:

[tex]\sum_{n=1}^4(-2)(-3)^{n-1}[/tex].

When n=1, [tex]a_1=(-2)(-3)^{1-1}[/tex], [tex]\implies a_1=(-2)(-3)^{0}=-2[/tex]

When n=2, [tex]a_2=(-2)(-3)^{2-1}[/tex], [tex]\implies a_2=(-2)(-3)^{1}=6[/tex]

When n=3, [tex]a_3=(-2)(-3)^{3-1}[/tex], [tex]\implies a_3=(-2)(-3)^{2}=-18[/tex]

When n=4, [tex]a_4=(-2)(-3)^{4-1}[/tex], [tex]\implies a_4=(-2)(-3)^{3}=54[/tex]

The sum of the given series is:

-2+6-18+54=40

[tex]\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-4}x^2\stackrel{\stackrel{b}{\downarrow }}{+4}x\stackrel{\stackrel{c}{\downarrow }}{-1} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} \boxed{0}&\textit{one solution}~~\checkmark\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases} \\\\\\ 4^2-4(-4)(-1)\implies 16-16\implies \boxed{0}[/tex]

Answer:

C) 160 cm3

Step-by-step explanation:

Since each cube represents 2 centimeters you need to multiply by 2 three times, since there are three dimensions. The volume of the figure is 160 cm3

Answer:

C (160)

Step-by-step explanation:

hope it helps brainliest pls

Answer:

y=lxl-1

Step-by-step explanation:

It goes down one.

The formula is:

y=nlx-kl+t

k translates it horizontally.

t translates it vertically.

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is,

It is a modulus function and its parent function is,

In a function,

If k>1, then the graph of g(x) stretch vertically and if k<1 then the graph of g(x) compressed vertically.

Since k is , therefore the shoes the vertical compression.

put x=0 in the given function.

Put x=3.

Therefore the graph passing through (0,0) and (3,1).

So the  fourth option is correct.

Hope this helps :)

The graph represents the function f(x) = |x| correct option is fourth image 4.

The given function is,

It is a modulus function and its parent function is,

In a function,

If k>1, then the graph of g(x) stretches vertically, and if k<1 then the graph of g(x) is compressed vertically.

Since k is, therefore the shoes the vertical compression.

Vertical compression means making the y-value smaller for any given value of x, and you can do it by multiplying the entire function by something less than 1. Horizontal stretching means making the x-value bigger for any given value of y, and you can do it by multiplying x by a fraction before any other operations.

put x=0 in the given function.

Put x=3.

Therefore the graph passes through (0,0) and (3,1).

So the fourth option is correct.

To learn more about the graph of function visit:

https://brainly.com/question/4025726

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4/3πr^3 is the equation to solve for volume.

Since the radius is 5 cm (10/2), we know the equation is 4/3π125

166 2/3π cm^3

or

523 1/3 cm^3

Final answer:

The volume of a sphere with a 10 cm diameter is approximately 523.6 cubic centimeters when rounded to the nearest tenth.

Explanation:

The student is asking for the volume of a sphere with a given diameter of 10 cm. To calculate the volume, you use the formula for the volume of a sphere, which is V = (4/3)πr³.

First, we need to find the radius of the sphere, which is half of the diameter, so the radius (r) is 5 cm. Plugging this into the formula gives us V = (4/3)π(5 cm)³. Now we calculate the volume: V = (4/3)π(125 cm³) ≈ 523.6 cm³ when rounded to the nearest tenth. So, the volume of the sphere is approximately 523.6 cubic centimeters.

Answer:

The answer is $12,000 I think check to be sure...Sorry in advance I'm not the best at math guys...    

Step-by-step explanation:

4% of 8472 = 338.88

The salesman will have made $338.88, which is 4% of $8,472.

Answer:

6pi; 27pi

Step-by-step explanation:

Since 4:00 is 120 degrees on a clock, then it is 120/360 or 1/3 of the clock. Now let’s find the arch length! Since the radius of the clock is 9, then the circumference will be 18pi. Since 1/3 of the clock is 4:00, then the arc length is 1/3 of the circumference. SO the arc length is 6pi.

Now let’s find the area of the sector. Since the radius is 9, then the area is 81pi. So 1/3 of that is 27pi.

The bottom is a square with a side length of 2 ft.

The area of a square is Area = S^2 = 2^2 = 4 square ft. Bottom)

The area of one side ( triangle) = 1/2 x base x height = 1/2 x 2 x 4 = 4 square ft.

There are 4 triangles: 4 x 4 sq. ft. = 16 sq.ft. ( four sides)

Total area = four sides + bottom =  16 + 4 = 20 feet^2

The answer is x equals 1/2.

Answer:

X = - 1/2

Step-by-step explanation:

3x+9-7x=2(x+6)

9-4x=2x+12

6x=-3

x=-1/2

Answer:

19

Step-by-step explanation:

It is all prime numbers. The next prime number after 17 is 19.