Which angle mesuare is greater

If angle BOC in circle is 68° then the measure of angle BAC is 34°.

Given that angle BOC in the circle is 68°.

We have to find the angle BAC.

We have that m∠BOC=arc BC ------by central angle.

we have m∠BOC=68°.

therefore arc BC=68°.

We know that the inscribed angle is half that of the arc it comprises so m∠BAC=1/2 *(arc BC)-----1

In geometry one of the theorem states states that angle at the center of a circle is twice angle at the circumference.

We have that arc BC=68°

substitute arc BC in equation 1 to get the measurement of ∠BAC.

m∠BAC=[tex]68/2[/tex]

=34°

Hence if angle BOC in circle is 68° then the measure of angle BAC is 34°.

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Answer:

96 people.

Step-by-step explanation:

Exponential equation for a decreasing amount:

The exponential equation for a decreasing amount is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial rate and r is the decay rate, as a decimal.

Currently, the number of people entering a shopping mall is 109.

This means that [tex]A(0) = 109[/tex]

It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.

This means that [tex]r = 0.03[/tex]

So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 109(1-0.03)^t[/tex]

[tex]A(t) = 109(0.97)^t[/tex]

Find the total number of people entering the shopping mall at the end of 4 hours.

This is A(4). So

[tex]A(4) = 109(0.97)^4 = 96.49[/tex]

Rounding to the nearest whole number, 96 people.

Answer:

16%+26%= 42%

Answer:   32% is the answer

Step-by-step explanation: since the question says  What percentage of students chose hockey or softball? add the presentage of hockey and softball and you will get 32% hope it helps

Answer:

[tex]\frac{1}{x^21y^12}[/tex]

Step-by-step explanation:

Answer:

127.1

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

127.1

Step-by-step explanation:

The rule is 5 or more raise the score. 4 or less just ignore. The number is 127.073 the number in the tenths place is 0 so you look to the next number. 7 is higher that 5 so you raise the zero to a one. The result is 127.1

Answer:

The answer is 7(tan 50°)

Step-by-step explanation:

So first you need to find which formula you will be using to do this you need to find if you're talking about the hypotenuse, opposite, or adjacent.

The side that measures 7 meters would be the adjacent because its right next to the angle and its not the hypotenuse because its not the largest side

The side which we do not know the length to will be the opposite side because it is opposite from where the angle is.  

There are 3 formulas:

sin A = Opposite side/Hypotenuse = BC/AB

cos A = Adjacent side/Hypotenuse = AC/AB

tan A = Opposite side/Adjacent side = BC/AC

There is one formula that has Opposite and Adjacent which is tangent so thats the formula you'll use  

Next you plug in the values that you have so your formula will look like this:

Tan 50° = x/7

A will always be where you plug in the angle and then you plug in the information according to what side it is  

Every time that x is the numerator you will just multiply both sides by the denominator which gives you:

7(tan 50°)

Which is your answer :))

Answer:

tangent 50 degrees over 7

Step-by-step explanation: Got it right on the test

Answer:

Step-by-step explanation:

The questions are asking you whether the calculation of each needs to be exact or an estimate. An estimate is used when the final value needs to be close to what is needed but is ok if it surpasses the needed value. Exact values are used when the final value needs to be exact and cannot be over or under the needed value or it will cause errors. Therefore, the answers are the following...

1. exact

2. estimate

3. exact

4. estimate

5. exact

6. exact

Answer:

540 in³

Step-by-step explanation:

v = lwh

v = 18 * 10 * 3

c = 540 in³

Answer:

v= length x width x height so 10x18x3= 540in cubed

Step-by-step explanation:

Answer:

A(-3,-4)

B(-1,1)

C(3,5)

D(2,-5)

Step-by-step explanation:

if you have any questions about it dont hesitate to ask me

Answer:

♨ [tex] \underline{ \underline{ \red{\large {\tt{Step - By - Step \: Explanation}}}}} : [/tex]

☄ [tex] \underline{ \underline{ \large{ \pink{ \tt{G \: I\: V\: E \: N}}}}} : [/tex]

☂ [tex] \underline{ \underline{ \large{ \purple{ \tt{T \: O \: \: F \: I \: N \: D}}}} }: [/tex]

☃ [tex] \underline{ \underline{ \large{ \orange{ \tt{ S \: O \: L \: U \: T \: I \: O\: N}}} }}: [/tex]

☼ [tex] \boxed{ \large{ \sf{Area \: of \: a \: parallelogram = base(b) \times height(h)}}}[/tex]

~Plug the known values & then multiply!

⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{ \tt{16 \: cm \times 4cm}}[/tex]

⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \ \boxed{\boxed{\large{ \tt{64 \: {cm}^{2} }}} }[/tex]

☥ [tex] \large{ \boxed{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \bold{ \red{ \tt{64 \: {cm}^{2} }}}}}}}}[/tex]

♡ Hope I helped! ツ

Have a wonderful day / night !

✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ✔

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Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\huge \fbox \pink {:}\huge \fbox \pink{-}[/tex]

Given:

base[b]=16cm

height [h]=4cm

we have

Area of parallelogram=base ×height

=16×4=64cm²is your answer.

Answer:

An explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location). It defines the sequence as a formula in terms of n. It may be written in either subscript notation a n, or in functional notation, f (n). Sequence: {10, 15, 20, 25, 30, 35, ...}.

Step-by-step explanation:

Answer:

An explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location). It defines the sequence as a formula in terms of n. ... This example is an arithmetic sequence(the same number, 5, is added to each term to get to the next term).

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

if you connect and extend to points it forms a line with a y-intercept of 2 when x is zero

   y = mx + b      m the slope equals 1

   y = x +2

Answer:

Step-by-step explanation:

<SRQ = 270 degrees

<RPQ is just 31 degrees short of that amount.

<RPQ = <SRQ - 31

<RPQ = 270 - 31

<RPQ = 239

Answer:

From the first definition, we can conclude that any imaginary number is also a complex number. From the second definition, we can conclude that any real number is also a complex number.

Answer:

482.5 ft^2.

Step-by-step explanation:

The figure can be regarded as a rectangle with a triangle cut out of one corner.

The base of the triangle = 25-20 = 5 in and the height = 20 - 13 = 7 in.

The required area = area of rectangle - area of triangle

= 25*20 - 1/2 * 5 * 7

= 500 - 17.5

= 482.5 ft^2

9514 1404 393

Answer:

  482.5 square inches

Step-by-step explanation:

The figure can be considered to be a 25 in by 20 in rectangle with a 5 in by 7 in triangle cut off the corner. Then the area of the figure is the area of the rectangle, less the area of the triangle.

  A = LW - 1/2bh

  = (25 in)(20 in) - 1/2(5 in)(7 in) = 500 in² -35/2 in² = 482 1/2 in²

The area of the figure is 482.5 square inches.

Answer:

y = (5/4)x+1

Step-by-step explanation:

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

[tex]\frac{y+4}{x+4} = \frac{-10}{-8} \\or, 4(y+4) = 5(x+4)\\or, 4y= 5x+20-16\\or, y= \frac{5}{4}x+1[/tex]

Answer:

blank area = 1.5π units²

Step-by-step explanation:

area of full circle = πr² = π6² = 36π units²

blank area = (15/360)(36π) = 1.5π units²

The area blank in a circular mosaic pattern is 4.71 square units.

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

The diagram shows the circle with a central angle cutout.

The central angle, θ = 15°

Radius of the circle, r = 6 units

The formula of area blank in circle is

[tex]Area_{blank} = \frac{\theta}{360}\pi r^{2}[/tex]

⇒ [tex]Area_{blank} = \frac{15}{360}(3.14) (6)^{2}[/tex]                [∵ π = 3.14 ]

⇒ [tex]Area_{blank} = 0.0416(3.14) (36)[/tex]

⇒ [tex]Area_{blank} = 4.71[/tex]

Hence we can conclude that the area blank in a circular mosaic pattern is 4.71 square units.

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Answer:

B. 35

Step-by-step explanation:

The order in which the flowers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

4 flowers from a set of 7. So

[tex]C_{n,x} = \frac{7!}{4!(7-4)!} = 35[/tex]

The correct answer is given by option B.

Answer:

Step-by-step explanation:

Answer:

y varies as √(x+5)

Step-by-step explanation:

y varies as √(x+5)

y= k√(x+5)

k is a constant connecting the two sides.

therefore

k=y/√(x+5)

k=4/√(-1+5)

k= 4/√4

k=4/2

k=2

Y when x=11

y=k√(x+5)

y=2√(11+5)

y=2√16

y=2*4

y=8

Answer:

a = –2, b = 4, c = – 3

Step-by-step explanation:

We are given the following quadratic equation in the question:

-2x^2 + 4x - 3 = 0−2x

2

+4x−3=0

General form of quadratic equation:

ax^2 + bx + c = 0ax

2

+bx+c=0

Comparing the given equation to general quadratic equation, we get,

a = -2, b = 4, c = -3a=−2,b=4,c=−3

Thus, the correct answer is

Option D) a = –2, b = 4, c = – 3

The values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3

The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given is a quadratic equation -2x²+4x-3 = 0, we need to find the values of a, b, and c in the given quadratic equation.

The standard equation of a quadratic equation is ax²+bx+c = 0,

Comparing the given equation with the standard equation,

We get, a = -2, b = 4, c = -3

Hence, the values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3

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Answer:

See explanation below

Step-by-step explanation:

The width is 4 inches

So, the area of the base is 20 inches squared

The height is 4 inches

So, the volume of the prism is 80 inches cubed

Answer:

is this like BxH or is there a specific equation

Step-by-step explanation:

Answer:

the 1st one

Step-by-step explanation:

The graph A satisfy the condition. Then the correct option is A.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The condition for the maximum will be

f(x)'' < 0

The condition for the minimum will be

f(x)'' > 0

The graph has the maximum value at 3 and the minimum value at –9.

In the graph A, the curve start from the minimum of negative 9 and reaches to the maximum value of 3.

Then the graph A satisfy the condition.

Then the correct option is A.

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Answer:

The intersections of a transversal with two lines create various types of pairs of angles: consecutive interior angles, consecutive exterior angles, corresponding angles, and alternate angles.

Answer:

2 dollars I guess l d k

Step-by-step explanation:

pay subcription to get good answer k :)

Answer:

The equation of the circle is

[tex](x - h) {}^{2} + (y - k) = {r}^{2} [/tex]

where (h,k) is the center and r is the radius.

The center is (-1,1) so plug that in the equation.

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

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

The radius of the circle is 3 so plug that in for r.

[tex](x + 1) {}^{2} + (y - 1) {}^{2} = {3}^{2} [/tex]

[tex](x + 1) {}^{2} + (y - 1) {}^{2} = 9[/tex]