[tex]What is the value of this expression when w = -5?w2 + 3w − 11A. -51B. -36C. -16D. -1[/tex]

Respuesta:

13,5

Explicación paso a paso:

Dados los datos:

12, 24, 11, 13, 16, 17, 18, 20, 12, 18, 16, 15, 18, 19, 11, 13, 15, 14, 16, 18

Reordenando los datos en orden ascendente:

11, 11, 12, 12, 13, 13, 14, 15, 15, 16, 16, 16, 17, 18, 18, 18, 18, 19, 20, 24

El 30% del número de personas es el percentil 30:

0.3 (n + 1) ésimo término.

n = tamaño = 20

0.3 (20 + 1) término

0.3 (21) término

6.3º término

(6 +7) a término

(13 + 14) / 2

13,5

Answer:

Yes, by AAA.

Step-by-step explanation:

The triangles share 3 pairs of congruent angles. Therefore, these triangles can be proven to be congruent by AAA congruence theorem.

Answer:

yes by ASA

Step-by-step explanation:

angle gdf equals angle edf

side DF is common to both

angle gfd equals angle efd

hence by ASA (short for angle side angle)

Answer:

60 ft

Step-by-step explanation:

Position of Syd =  +43

Position of Ingrid = - 17

To find the distance between them, add the absolute value

I +43 I + I-17I = 43 + 17 = 60

Answer:

let's take the postion of sea level 0

such that

syds on a cliff 43 ft above sea level

his position = 43 ft

Ingrid is 17 feet below sea level so his position = 17 ft in the opposite direction as that of Syd.

since syd is 43 feet away from sea level, that is 0, and sea level is 17 feet away from Ingrid.

distance between syd and Ingrid = 43 + 17

= 60 ft

Answer:

16 mugs

Step-by-step explanation:

Total clay bought = 45 lbs

Clay used for sculpture = 15.8 lbs

Clay left over = 17.68 lbs

Clay used for each mug = 0.72 lbs

Number of mug = x

Total clay bought = Clay used for sculpture + Clay left over + (Clay used for each mug * Number of mug)

45 = 15.8 + 17.68 + (0.72 * x)

45 = 33.48 + 0.72x

45 - 33.48 = 0.72x

11.52 = 0.72x

x = 11.52/0.72

x = 16

Number of mug = x = 16 mugs

Answer:

x ≈ 27.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 10

Step 2: Solve for x

Answer:

cos C= 15/39

Step-by-step explanation:

The value of cos C rounded to the nearest hundredth is 0.38.

In a right angle triangle the cosine of an angle is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse.

Pythagoras' theorem states that for all right-angled triangles, "The square on the hypotenuse is equal to the sum of the squares on the other two sides".

According to the given question

We have a right angled triangle ABC, in which right angle is at B.

Also,

BC = 15

AB = 36

[tex]AC = \sqrt{AB^{2}+BC^{2} }[/tex]              (By Pythagoras theorem)

⇒[tex]AC = \sqrt{15^{2} +36^{2} }[/tex]

⇒[tex]AC = \sqrt{1521}[/tex]

⇒AC = 39

⇒ Hypotenuse of triangle ABC is 39.

Now, the adjacent side w.r.t ∠C is BC

Therefore, the cosine of an angle C is given by

[tex]cosC=\frac{BC}{AC}[/tex]

⇒[tex]CosC= \frac{15}{39} =\frac{5}{13}[/tex]

⇒[tex]cosC =0.38[/tex]

Hence, the value of cos C rounded to the nearest hundredth is 0.38.

Learn more about the cosine of an angle here:

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Answer:

(47)  c. given

(48) b. definition of complementary

(49)  a, m<2 = m<3

(50) d. definition of congruent angles

Step-by-step explanation:

From the given question, the proof can be completed as;

Statement                                          Reason

1. <2 and < 1 are complementary     (47)  c. given

   <3 and <1 are complementary

2. m<2 + m<1 = [tex]90^{o}[/tex]                             (48) b. definition of complementary angles

   m<3 + m<1 = [tex]90^{o}[/tex]

3. m<2 + m<1 = m<3 + m<1                 3. Substitution property

4. (49)  a, m<2 = m<3                         4. Subtraction property

5. <2 ≅ <3                                           (50) d. definition of congruent angles

Therefore,

(47)  c. given

(48) b. definition of complementary

(49)  a, m<2 = m<3

(50) d. definition of congruent angles

Answer:

y = -7

Step-by-step explanation:

The line represents the y-coordinate, because it is a straight line over the x axis, indicating it cant be an x coordinate

Because it is 7 units below the x-axis, it is -7

y = -7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Slope = 4/9

Step-by-step explanation:

x1(-4,2)

x2(5,6)

Slope,

m = (y2-y1)/(x2-x1)

= (6-2)/(5--4)

=4/9

Answer:

A(7,4)

Step-by-step explanation:

-2/3 is the slope and the slope is the rise over the run, and we know it passes through the point (1,8).

Next, we can create a chart/table

X int-1+3=4, 4+3=7

Y int-8-2=6,6-2=4

1st point: (4,6)

2nd point: (7,4)

Hope I helped, have a nice day :)

Answer:

22 ft³

Step-by-step explanation:

Applying,

V = 1/3(Ah).................... Equation 1

Where V = Volume of the pyramid, A = Area of the base, h = height of the pyramid.

But,

A = 1/2bl................ Equation 2

Where b = base of the triangle. l = height of the triangle.

Substitute equation 2 into equation 1

V = 1/6(blh).............. Equation 3

From the diagram,

Given: b = 3 ft, l = 4 ft, h = 11 ft

Substitute these values into equation 3

V = 1/6(3×4×11)

V = 1/6(132)

V = 22 ft³

Answer:

the answer is equals to:1.715

Lila's height is

Metre is the standard measure of height.

Fatima's height, F = 1.27m

Charlotte's height, C=0.89m

Lila is taller than Charlotte by half the difference between Fatima's height and Charlotte's height, so we can write

Lila's height, L = C+((F-C)/2)

L=0.89+((1.27-0.89)/2)=1.08

Hence, Lila is 1.08 metres tall.

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Answer:

If ZB is the 3rd angle, since a triangle has 180 degrees total just do 83+70+x=180 sooooo x=27

Step-by-step explanation:

Only the 3 is inside the square root.

=============================================================

Explanation:

Tangent is the ratio of opposite over adjacent.

We can express tan(theta) as y/x because of this. The point (1/2, m) shows that x = 1/2 and y = m.

So,

tan(theta) = y/x = m/(1/2) = 2m

If we're told that tan(theta) = sqrt(3), then we need to solve the equation below for m

2m = sqrt(3)

m = sqrt(3)/2

Answer:

[tex]\text{B. }\frac{\sin 31^{\circ}}{9.3}=\frac{\sin 85^{\circ}}{b}[/tex]

Step-by-step explanation:

In any triangle, the Law of Sines states that the proportion of the sine of each angle and its opposite side is maintained throughout all 3 angles and their corresponding sides of a triangle:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]

Thus, we have [tex]\implies \boxed{\text{B. }\frac{\sin 31^{\circ}}{9.3}=\frac{\sin 85^{\circ}}{b}}[/tex]

Answer:

10

Step-by-step explanation:

X

CO

f(x)

-10

-8

-6l;

Which is an x-intercept of the continuous function rs are swamped. Wait for your answer to fully load.

the table?

-2

-1

0

1

2.

3

(0, -6)

O (30)

-4

-2

0

不

(-6, 0)

(0,3)

Answer

Part A: The right triangles are smiliar because If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar.

Part B: 2z:2x or 2z/2x. You can write z/x as z:x. Then just multiply both sides by the same number to get an equivalent ratio. Let's multiply by 2. then the answer will be: 2z:2x or 2z/2x

Step-by-step explanation:

For the considered two right triangles, the evaluations for sub-parts of the problem are as follows:

Two triangles are similar if two corresponding angles of them are of same measure. It is because when two pairs of angles are similar, then as the third angle is fixed if two angles are fixed, thus, third angle pair also gets proved to be of same measure. This makes all three angles same and thus, those two triangles are scaled copies of each other. Thus, they're called similar.

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

For the considered case of the specified two right angled triangles, we get the solutions to the parts given in the problem as:

Part 1: The right angled triangles have one angles as of 90 degrees. In the image given, it can be seen that the other angle is of [tex]\alpha[/tex] measures, which is also common in both the triangles.

Thus, two angle pairs in both the given triangles are of same measure. That makes both the specified triangles as a pair of similar triangles.

Part 2: The specified ratio is z/x. From the perspective of angle [tex]\alpha[/tex] , we see that z is serving as hypotenuse, and x is base, thus, the ratio z/x is sec([tex]\alpha[/tex] ) (as sec of an angle is ratio of hypotenuse to base)

Part 3: From the perspective of angle [tex]\alpha[/tex] , the perpendicular is the side 'y' and the base is side with length 'x' (we're considering first triangle here, as we can consider any one of them as both are similar).
Thus, we get tan of [tex]\alpha[/tex] as:

[tex]\tan(\alpha) = \dfrac{y}{x}[/tex]

Part 4: The values of the trigonometric ratios depend only on the angle(as they're functions of angles only) because they are ratio.

If a triangle is right angled, and has a specific angle, then whatever the side be, if that angle along with right angle is kept same, the triangles will be similar . That makes their sides a specific multiple of each other.

a side of one triangle = k times corresponding side of its similar triangle

where k is the scale factor, constant for one pair of similar triangles. Now when we will take their ratio, the value of k cancels out, leaving no difference between first triangle or second triangle, but only caring if they are similar or not(which depends on angles).

Thus, the trigonometric functions depend only on angles.

Learn more about similar triangles here:

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Answer:

Please be careful with your typing [f(x)=-sqrt(x)+6 ... right? g(x)=-4*sqrt(x)-3 ... or -4*sqrt(x)+3 ... one or the other, right?

If so, you are dilating by a factor of 4, -1 versus -4 as multiplier of sqrt(x); and, translating up 3 units (6 versus 3) or 9 units (6 versus -3).

Step-by-step explanation:

Answer:

-2x+2

Step-by-step explanation:

f(x) = -4x+3 and g(x) = 3 +2x-4

Note what you put for g(x) simplifies to 2x-1

(f+g) (x) =  -4x+3+  3 +2x-4

Combine like terms

            = -2x+2

Answer:

-2

Step-by-step explanation:

see Image below:)

Answer:

[tex]\fbox{3\sqrt{2}}[/tex][tex]3\sqrt2[/tex]

Step-by-step explanation:

Step 1:

Let us figure out the measurements of all the angles first. We are given one angle of 45º, and another of 90º. The angles of a triangle must add up to 180º, hence we can use basic addition and subtraction to find the last angle.

[tex]\angle=180-90-45\\\angle=45[/tex]

Great our angle is 45º! Notice something...?

Step 2:

We now have two 45º angles in our triangle. This means we have an isosceles triangle.

According to BATh (base angle theorem), in an isosceles triangle, the angles opposite the congruent sides are congruent. Thus, y is congruent to the given side of [tex]3\sqrt2[/tex].

y=[tex]\fbox{3\sqrt{2}}[/tex][tex]3\sqrt2[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

Length of AC = 23.75 unit

Step-by-step explanation:

Give that BD II CE

Length of AB = 10 unit

Length of AD = 16 unit

Length of DE = 22 unit

Find:

Length of AC

Computation:

Give that BD II CE

So,

AB / BC = AD / DE

AB / [AC - 10] = AD / DE

10 / [AC - 10] = 16 / 22

[10][22] = [AC - 10][16]

220 = 16AC - 160

16AC = 220 + 160

16AC = 380

AC = 23.75

Length of AC = 23.75 unit

Answer:

7

Step-by-step explanation:

7 divided by 8 multiplied by 8 would be 7

Answer:

3rd one down is the answer

Answer:

Well let's count how many 65's there are, there are 3

So there needs to be 3 dots on the data plot on top of the section, 65.

Let's exclude some answers, D and B since they don't have 3 hovering over the 65(since there are three 65's).

Let's count how many 67's there are, there are 4.

We need to get rid of any answers that are more than 4 or less than 4 that are hovering over the section of 67. There are no answers to get rid of, let's move onto the next number, 68! There are four 68's. Let's also get rid of any answers that have more than 4 or less than 4 on the section above 68 since we're looking at that number. C is our answer!

2x-54 and x + 22 are vertical angles and equal each other. Set the two equations equal to each other and solve for x.

2x -54 = x + 22

Add 54 to both sides:

2x = x + 76

Subtract 1x from each side:

X = 76

The answer is x = 76

Answer:

1 real solution

Step-by-step explanation:

y=2x^2−8x+8

We can use the discriminant to determine the number of real solutions

b^2 -4ac

a =2  b = -8  c=8

(-8)^2 - 4(2)(8)

64 - 64

0

Since the discriminant is 0 there is 1 real solution

>0 there are 2 real solutions

< 0 two complex solutions

9514 1404 393

Answer:

  (a)  (5π -11.6) ft²

Step-by-step explanation:

The shaded area is the area of 1/5 of the circle less the area of the triangle with base 5.8 ft and height 4 ft.

  shaded area = 1/5(π(5 ft)²) -(1/2)(5.8 ft)(4 ft)

  shaded area = (5π -11.6) ft²

Answer:

1/2             9/8

17/12          23/30

81/70         2/3

Step-by-step explanation:

I ordered it the way it appears in the image.

First you have to get the equation into slope/intercept format: y = mx + b

[tex]3y > -3+6x\\\\\frac{3y}{3} >\frac{-3+6x}{3} \\y >\frac{3(-1+2x)}{3} \\y > -1+2x\\\\y>2x-1[/tex]

So the slope m = 2, and the y-intercept b = -1.

b tells you where the line intersects the y axis. The slope is rise (vertical distance) over run (horizontal distance). I have attached my best attempt at drawing this without graph paper.  The dotted line represents the inequality, and the solution set includes the values above the line which is why it is shaded. Hope this helps!

The range of the function is ZERO to POSITIVE INFINITY because 4^x is always positive.

Step-by-step explanation:

The range of the function is 0 to positive infinity because [tex]4^x[/tex] is always positive.

The range of a function is the set of output values of the function

The expression of the function is given as:

[tex]4^x[/tex]

Rewrite as:

[tex]f(x) = 4^x[/tex]

The value of the above function is always greater than 0, because it is an exponential function

Hence, the true statement is:

The range of the function is 0 to positive infinity because [tex]4^x[/tex] is always positive.

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