Which cannot be the angle measurements of triangle ABC? Measure of angle A = 55 degrees, measure of angle B = 65 degrees, measure of angle C = 60 degrees Measure of angle A = 60 degrees, measure of angle B = 60 degrees, measure of angle C = 60 degrees Measure of angle A = 57 degrees, measure of angle B = 58 degrees, measure of angle C = 65 degrees Measure of angle A = 61 degrees, measure of angle B = 57 degrees, measure of angle C = 61 degrees

Answer:

168 ft²

Step-by-step explanation:

The equation for the lateral area of a square pyramid is LA = (Pl/2)

Plug in the values LA = (24(14)) / 2

LA = 336/2

LA = 168 ft²

The lateral surface area of the given pyramid whose base is an equilateral triangle is 126 square feet.

The lateral surface area of a triangular pyramid is 1⁄2(perimeter of the base × slant height) which further becomes 3⁄2(side × slant height).

Given that, slant height is 14 ft and the length of each side of the triangular base is 6 ft.

The equation for the lateral area of a square pyramid is 3/2 (6×14)

= 3×3×14

= 126 square feet

Therefore, the lateral surface area of the given pyramid whose base is an equilateral triangle is 126 square feet.

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Answer:

The first option (5^2 + 8^2 = c^2).

Step-by-step explanation:

According to the Pythagorean Theorem, a^2 + b^2 = c^2.

If a is 5 cm, and b is 8 cm, you would have the following equation...

5^2 + 8^2 = c^2.

That matches with the first option.

Hope this helps!

Answer:

Option A

Step-by-step explanation:

The median is the value that lies in the middle of the data when the data set is ordered.

It is also the value that separates the higher half of the dataset from the lower half of the dataset.

Answer:

B

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

2/3x+4=76

2/3x=72

x=72*3/2

x=108

Answer:

Do the opposite of what they say

76 - 4 = 72

72 / 2/3 = 72 x 3 / 2 = 216 / 2 = 108

108 is the number

now to double check

108 x 2/3 = 216 / 3 = 72

72 + 4 = 76

108 is the number

Hope this helps

Step-by-step explanation:

Step-by-step explanation:

The formula of a volume of a cone:

[tex]V=\dfrac{1}{3}\pi r^2H[/tex]

r - radius

H - height

We have

[tex]H=4m;\ 2r=3m\to r=1.5m[/tex]

We have everything we need to calculate the volume of the cone.

[tex]V=\dfrac{1}{3}\pi(1.5)^2(4)[/tex]

If we want to get the approximate volume, we must use the approximation of the number π.

[tex]\pi\approx3.14;\ \pi\approx\dfrac{22}{7}[/tex]

[tex]V=\dfrac{1}{3}\pi(2.25)(4)=\dfrac{9\pi}{3}=3\pi\approx(3)(3.14)=9.42\ (m^3)[/tex]

Answer:

The person above me is wrong, the answer is 3

Step-by-step explanation:

I got it right on the test

Answer: Detergent A uses exactly 1 fluid ounce per load more than detergent B

Step-by-step explanation:

Given the following :

DETERGENT A:

48 fluid ounces

Cleans 16 loads of dishes

DETERGENT B:

76 fluid ounces

Cleans 38 loads of dishes

DETERGENT A:

Fluid ounces per load :

48 / 16 = 3 (3 fluid ounce per load)

DETERGENT B:

Fluid ounce per load :

76 / 38 = 2 ( 2 fluid ounce per load)

3 - 2 = 1 fluid ounce per load.

Answer:

Detergent A uses exactly 1 fluid ounce per load more than detergent B

Step-by-step explanation:

Answer:

n² - 2n + 2

Step-by-step explanation:

The difference in the pattern are odd numbers.

2 - 1 = 1

5 - 2 = 3

10 - 5 = 5

17 - 10 = 7

So there is a -2n in the nth term.

If we subtract 1 on each term.

0, 1, 4, 9, 16

We get whole squares.

So there is a n² in the nth term.

(1)² - 2(1)+ c = 1

1 - 2 + c = 1

-1 + c = 1

c = 2

The nth term is:

n²-2n+2

Answer:

m∠L = 78°

Step-by-step explanation:

Properties of a parallelogram,

1). Opposite sides are equal and parallel.

2). Diagonals are equal in measure .

3). Opposite angles are equal in measure.

4). Consecutive angles are supplementary

5). Diagonals bisect each other.

By the property number (3),

m∠J ≅ m∠L

(8x - 2) = (6x + 18)

8x - 6x = 18 + 2

2x = 20

x = 10

Therefore, m∠L = (6x + 18)

                          = 60 + 18

                          = 78°

Step-by-step explanation:

Hello there!!

You can find it through simple way of ratio of sin or also by using cosine rule.

Lets do it simply as i can see your just 1st pic not second one so, i will answer you according to it.

so, here in question a Right angled triangle is given, with one angle 31° and one side 15 cm.

let's take sin angle as sin 31°.

so, p=h

h=15

We dont need base (b) here.

As we know that, thesin in ratio angle is

sin thita = p/h

or, sin 31°=h/15

or, 0.515038×15=h (using calculator sin 31°=0.515038.)

Therefore, the answer is 7.722557cm or 8cm.(as 7>5 and rounding off it we get 8).

Hope it helps...

The value of h in the right angled triangle is 7.7 cm.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

In the diagrams, using trigonometric ratio:

a) sin(31) = h/15

h = 7.7 cm

b) cos(24) = h/13

h = 11.9 cm

c) sin(37) = h/15

h = 9 cm

d) cos(47) = h/12

h =8.2 cm

e) sin(48) = h/18

h = 13.4 cm

The value of h in the right angled triangle is 7.7 cm.

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Answer:

z = 110°

Step-by-step explanation:

Since the figures are similar then corresponding angles are congruent, thus

∠ H = ∠ D = 110°, that is

z = 110°

Answer:

a) 0.3.

b) 1.

Step-by-step explanation:

Note: The scale of probability is not given properly. So, the probability of following events are given below:

It is given that,

Total number of sweets in a bag = 10

Red sweets = 4

Green sweets = 2

Yellow sweets = 3

Purple sweet = 1

a)

We need to find the probability of choosing a yellow sweet.

[tex]P(Y)=\dfrac{\text{Yellow sweets}}{\text{Total number of sweets in a bag}}[/tex]

[tex]P(Y)=\dfrac{3}{10}[/tex]

[tex]P(Y)=0.3[/tex]

Therefore, the probability of choosing a yellow sweet is 0.3.

b)

We need to find the probability of choosing a sweet that is not orange.

[tex]P(O')=1-\dfrac{\text{Orange sweets}}{\text{Total number of sweets in a bag}}[/tex]

[tex]P(O')=1-\dfrac{0}{10}[/tex]

[tex]P(O')=1[/tex]

Therefore, the probability of choosing a sweet that is not orange is 1.

Probabilities are used to determine the chances of events.

The probability scale is not given; so, I will give a general explanation.

The given parameters are:

[tex]Red = 4[/tex]

[tex]Green = 2[/tex]

[tex]Yellow= 3[/tex]

[tex]Purple = 1[/tex]

[tex]Total = 10[/tex]

(a) The probability of choosing a yellow sweet

This is calculated using:

[tex]P(Yellow) = \frac{Yellow}{Total}[/tex]

So, we have:

[tex]P(Yellow) = \frac{3}{10}[/tex]

Divide 3 by 10

[tex]P(Yellow) =0.3[/tex]

Hence, the probability of choosing a yellow sweet is 0.3

(b) The probability of choosing a sweet that is not orange

This is calculated using:

[tex]P(Not\ Orange) = 1 - \frac{Orange}{Total}[/tex]

So, we have:

[tex]P(Not\ Orange) = 1 - \frac{0}{10}[/tex]

Divide 0 by 10

[tex]P(Not\ Orange) = 1 - 0[/tex]

[tex]P(Not\ Orange) = 1[/tex]

Hence, the probability of choosing a sweet that is not orange is 0

Read more about probabilities at:

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Answer:

this is ur answer so memories

Answer:

  see attachment

Step-by-step explanation:

When there are quite a few similar calculations to do, it can work well to let a spreadsheet do them.

5. The Pythagorean theorem applies for finding the unknown side:

  DF = √(FE^2 -DE^2) = 3.0

The angles can be found using any of the trig functions. Since we were given the length of a side and the hypotenuse, we choose to use the sine function:

  Sin = Opposite/Hypotenuse

  opposite angle = arcsin(Opposite/Hypotenuse)

In the spreadsheet, Leg 1 is the given leg, and Leg 2 is the computed leg. The associated Angle 1 and Angle 2 are opposite those legs:

 ∠F = 59°

  ∠E = 31°

__

6. In this section, there are two kinds of problems. One has the hypotenuse and an angle given (HA problems). The other has a leg and its opposite angle given (LA problems).

HA problems (6c, 6e, 6f)

We call the given angle "Angle 1" and compute the other angle as its complement. The side opposite Angle 1 is Leg 1. It is computed using the sine relation above.

  Opposite = Hypotenuse×Sin

  x = 16·sin(60°) = 13.9 . . . . . . . . . . for problem 6c

Then the Adjacent leg is found using the cosine relation:

  Cos = Adjacent/Hypotenuse

  Adjacent = Hypotenuse×Cos

  y = 16·cos(60°) = 8.0 . . . . . . . . . . for problem 6c

As in problem 5, the missing angle is computed as the complement of the given angle.

  missing angle = 90° -60° = 30° . . . . . . for problem 6c

__

LA problems (6a, 6b, 6d)

The calculations for these problems are similar, except that we compute the hypotenuse first using the sine relation.

  Hypotenuse = Opposite/Sin

  u = 2/sin(30°) = 4.0 . . . . . . . for problem 6a

As in the above problems, we computed the missing leg using the cosine function and the hypotenuse.

  v = 4.0·cos(30°) = 3.5 . . . . . for problem 6a

And the missing angle is computed the same as for HA problems.

  missing angle = 90° -30° = 60° . . . . for problem 6a

_____

The computations are done in the spreadsheet using the formulas described above. The matchup of Leg1, Leg2, Angle1, and Angle2 to the problem variables and vertices is left to the student. As we said, Leg1 and Angle1 are opposite each other, and correspond to the given leg and/or angle.

_____

Comment on radians

When using sine and cosine functions in a spreadsheet, one needs to be aware that their arguments must be in radians. Fortunately, the spreadsheet provides functions for converting angles back and forth between degrees and radians. Similarly, the arcsin function used in problem 5 gives its result in radians, so requires conversion to degrees.

Answer:

C. and F.

Step-by-step explanation:

A scalene triangle is a triangle in which all three sides have different lengths. Also the angles of a scalene triangle have different measures. Some right triangles can be a scalene triangle when the other two angles or the legs are not congruent. Right angle are 90 degrees

Answer:

C and F

Step-by-step explanation:

This triangle is not an equilateral triangle because their lengths are not equivalent to each other. It is not an isosceles triangle because no two lengths are equivalent to each other. It is a right triangle because it has one right angle(A 90 degrees angle.) It is not an obtuse triangle because there isn't an angle that is obtuse(More than 90 degrees but less than 180 degrees angle.) It isn't an acute triangle either because not all three angles are acute(Less than90 degrees angle.) Lastly, it is also a scalene triangle because none of the triangle lengths are equivalent to each other.

Answer :

Answer:

58 inches

Step-by-step explanation:

This is a right angled triangle. We would use Trigonometric function of Sine to solve the question

θ = 60°

From the above question, the following values were obtained:

Hypotenuse = 67 inches long

The height in the upper edge above the ground = Opposite side

Sin θ = Opposite/ Hypotenuse

Sin 60° = Opposite/67 inches

Cross Multiply = Sin 60° × 67 inches

= 58.023702054 inches

≈ 58 inches

Therefore, the height in inches of the upper edge is 58 inches

Answer:

98child tickets were sold that day

Step by step Explanation:

Let the number of children= A of the number of adult

Then

6.20C + 9.50A = 1082.0

From the question it was said that four times as many adult tickets as child tickets were sold which implies that number of adult was FOUR times the children, then we can say

A= 4C

Then substitute into the above equation

6.20C + 9.50A = 1082.0

6.20C + 9.50(4C) = 1082.0

6.20C + 38C= 1082.0

44.2C =1082.0

C= 24.48

But we know that

A= 4C

A=4* 24.48

A= 97.9

Therefore ,98child tickets were sold that day

Answer:

B. 2:3

Step-by-step explanation:

It's easier to see when counting by quarters of a circle instead of a whole circle.

We start with the shaded. We know the fully shaded one has 4 quarters and we can count 4 more surrounding it. That's a total of 8. Since there are 4 quarters in each circle, we can divide it by 4 to get 2 full circles that are shaded.

Next is the white, they come in groups of 3 quarters since one of the quarters are shaded. There are 4 groups of these so we can do 3x4 to figure out the total number (or just count them out). We get a total of 12 white quarters. Divide by 4, we have 3 full white circles.

The ratio is 2:3

The ratio of the shaded area of the circles to the un-shaded area of the  circles is 2:3. Option B is correct.

The formula for calculating the area of a circle is expressed as:

A = πr²

Let the area of the shaded part be [tex]A_s[/tex] and the area of the unshaded part be [tex]A_u[/tex]

The area of the shaded part is 2 circles while the area of the total unshaded part is 3 circles.

[tex]A_s = 2(\pi r^2)[/tex] and [tex]A_u = 3(\pi r^2)[/tex]

Taking the ratios of the areas

[tex]\frac{A_s}{A_u}=\frac{2 \pi r^2}{3 \pi r^2}\\ \frac{A_s}{A_u}=\frac{2}{3}[/tex]

Hence the ratio of the shaded area of the circles to the un-shaded area of the  circles is 2:3

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Answer:

Option (A)

Step-by-step explanation:

There are two inequalities drawn on a graph.

x + 2y ≤ 4 ------(1)

3x - y ≤ 2 -------(2)

Here solution set of the inequality (1) will be represented by the shaded area below the solid line (in blue) represented by "x + 2y = 4".

(Line x + 2y = 4 will have the slope slanting down and y-intercept as 2)

Second inequality will represent the shaded area on the left of the solid red line represented by "3x - y ≤ 2".

(Line 3x - y = 2 will have the slope upwards and y-intercept as -2)

Solution area of these inequalities will be the common area shaded in green.

Graph given in Option (A) will be the answer.

Answer:

She will save 62.40

Step-by-step explanation:

First find the total amount she makes

hours times hourly rate

19.5 * 12.80

249.60

She saves 1/4 of this, so multiply by 1/4

1/4 * 249.60

62.40

She will save 62.40

Answer:

62.40

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The translation rule (x, y ) → (x - 1, y + 2 )

Means subtract 1 from the original x- coordinate and add 2 to the original y- coordinate, thus

(4, - 2 ) → (4 - 1, - 2 + 2 ) → (3, 0 )

(2, 2 ) → (2 - 1, 2 + 2 ) → (1, 4 )

(4, 6 ) → (4 - 1, 6 + 2 ) → (3, 8 )

Answer:

2.95x+39.95(12).

Step-by-step explanation:

Hope this helps!

Answer:

D

Step-by-step explanation:

hope this helps

Answer:

17

Step-by-step explanation:

This is a very neat problem -- for teachers.

Let the number of sides = y

The sum of the interior angles is 180*(y - 2)

We are told that this sum equals 9x^2

So far the equation is

(y - 2)*180 = 9x^2                   Divide both sides by 9

(y - 2)*20 = x^2                       Remove the brackets on the left.

20*y - 40 = x^2

We need another fact. We get that from the statement that x is three greater than the number of sides (y). Therefore y = x - 3

20*(x - 3) - 40 = x^2

20x - 60 - 40 = x^2       Combine like terms on the left

20x - 100 = x^2             Bring the left side to the right side.

0 = x^2 - 20x + 100      You have a quadratic.

a = 1

b = - 20

c = 100

When you solve the quadratic equation, you get

x = 20

Therefore the number of sides is 17.

Answer:

Answer: 1) 155.65 kJ; 2) -59.0 kJ/mol; 3) a)

Step-by-step explanation:

Answer on Question # 55533 - Chemistry - General chemistry

Question:

1. Given the data. N2(g) + O2(g) = 2 NO(g) ΔH = +180.7 kJ; 2 NO(g) + O2(g) = 2 NO2(g) ΔH = −113.1

kJ; 2 N2O(g) = 2 N2(g) + O2(g) ΔH = − 163.2 kJ; Use Hess’s Law to calculate ΔH for the reaction

N2O(g) + NO2(g) = 3 NO(g); Show your work.

2. Calcium carbide (CaC2) reacts with water to form acetylene (C2H2) and Ca(OH)2. From the

following enthalpy of reaction data and data in Appendix C in textbook, calculate ΔHf° for CaC2(s):

CaC2(s) + 2 H2O(l) Ca(OH)2(s) + C2H2 (g) ΔH = −127.2kJ

3. Using average bond enthalpies, predict which of the following reactions will be most

exothermic: a) C(g) + 2 F2(g) CF4(g) b) CO(g) +3 F2(g) CF4(g) + OF2(g) c) CO2(g) + 4 F2(g) CF4(g) +

2 OF2(g)

Solution

1)

N2(g) + O2(g) = 2 NO(g) ΔH1 = +180.7 kJ x(+2)

2 NO(g) + O2(g) = 2 NO2(g) ΔH2 = −113.1 kJ x(-1)

2 N2O(g) = 2 N2(g) + O2(g) ΔH3 = − 163.2 kJ x(+1)

2N2O(g) + 2NO2(g) = 6 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)

N2O(g) + NO2(g) = 3 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)/2 = 155.65 kJ

2)

CaC2(s) + 2 H2O(l) = Ca(OH)2(s) + C2H2 (g) ΔHrxn = −127.2kJ

ΔHrxn = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) - ΔHf°(CaC2);

ΔHf°(CaC2) = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) – ΔHrxn

ΔHf°(C2H2) = 227.4 kJ/mol

ΔHf°(Ca(OH)2) = -985.2 kJ/mol

ΔHf°(H2O) = -285.8 kJ/mol

ΔHf°(CaC2) =227.4 - 985.2 + 2x285.8 + 127.2 = -59.0 kJ/mol

3)

a) C(g) + 2 F2(g) = CF4(g)

b) CO(g) +3 F2(g) = CF4(g) + OF2(g)

c) CO2(g) + 4 F2(g) = CF4(g) + 2 OF2(g)

C-F bond enthalpy 440 kJ/mol

C=O bond enthalpy in carbon dioxide 805 kJ/mol

C=O bond enthalpy in carbon monoxide 1077 kJ/mol

O-F bond enthalpy 184 kJ/mol

F-F bond enthalpy 153 kJ/mol

a) ΔHrxn = 2x153 - 4x440 = -1454 kJ – the most exothermic

b) ΔHrxn = 1077 + 3x152 - 2x184 - 4x440 = -595 kJ

c) ΔHrxn =805x2 + 4x153 - 4x440 – 2x2x184 = -274 kJ

Answer:

x = 5/3 or x = -3

Step-by-step explanation:

3x² + 4x - 15 = 0

Factor left side.

(3x - 5)(x + 3) = 0

Set factors equal to 0.

3x - 5 = 0

3x = 5

x = 5/3

x + 3 = 0

x = -3

Answer:

x = -3             OR         x = 5/3

Step-by-step explanation:

=> [tex]3x^2+4x-15 = 0[/tex]

Using mid term break formula

=> [tex]3x^2+9x-5x-15 = 0[/tex]

=> 3x(x+3)-5(x+3) = 0

Taking x-3 common

=> (x+3)(3x-5) = 0

Either

x+3 = 0         OR       3x-5 = 0

x = -3             OR         x = 5/3

Answer:

see explanation

Step-by-step explanation:

(b)

The roots of f(x) = 0 are the values of x on the x- axis at the points where the graph crosses, that is

x = - 1 and x = 3

(c)

f(0) is the point on the y- axis where the graph crosses, that is 3, thus

f(0) = 3

Answer:

Speedy Texting

3a. In the equation, 10r + 4 = 8

r = 0.4 or 40%

3b. The variable r represents an independent variable in the equation.  An independent variable is a variable that is not dependent on another variable, instead other variables depend on it.  Whatever its value is changes the value of other variables in the equation.

Step-by-step explanation:

a) Solving the equation:

10r + 4 = 8

10r = 8 - 4

10r = 4

r = 4/10 = 0.4 or 40%

Answer: 4 (20 minus 16 y): Each side measures 20 minus 16 y units.

Step-by-step explanation:

Hi, to answer this question we have to know the formula of the perimeter of a square:

Perimeter = side length x 4

Since:

p = 80-64y = s x 4

Solving for s (side length)

80-64y /4 = s

s = 20- 16 y

So, the correct option is:

4 (20 minus 16 y): Each side measures 20 minus 16 y units.  

Feel free to ask for more if needed or if you did not understand something.

Answer:

i believe its C

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

There are seven people in all on person will arrive at a different time than others. Every single one of them arrives at different times so it's 1/7

Answer:

B

Step-by-step explanation:

A parent function is the simplest function that still satisfies the definition of a certain type of function. One of those functions is exponential, which is b.

   Option (B) will be the correct option.

We will check each option given for the definition of a parent function.

Option (A)

[tex]f(x)=-2^{x+1}[/tex]

Parent function will be,

[tex]f(x)=2^x[/tex]

Option (B),

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

It's a simplest form of an exponential function.

Therefore, it's a parent function.

Option (C),

[tex]f(x)=e^{3x}-2[/tex]

Parent function → [tex]f(x)=e^{3x}[/tex]

Option (D),

[tex]f(x)=4x^2[/tex]

Parent function → [tex]f(x)=x^2[/tex]

Learn more about the parent function and the transformation here,

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