Please help me with the two questions!

Using the equation of ellipse, the height of the logo is 7.6cm

The equation of ellipse having a center (h, k) is given as;

[tex]\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1[/tex]

where a is the semi-major axis and b is the semi-minor axis. The major axis is the longer of the two axes, and the minor axis is the shorter of the two axes. The center of the ellipse is the point (h, k).

The graph of an ellipse is a closed curve that is similar to a circle, but it is not a circle. The ellipse is wider than it is tall if a > b, and it is taller than it is wide if a < b.

In the given problem;

The equation for an ellipse is

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1,[/tex] where a is the semi-major axis and b is the semi-minor axis. In this case, a = √64 = 8 and b = √14.44 = 3.8

Since b = 3.8, the height of the logo = 2b = 2 * 3.8 = 7.6cm

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Answer:

c. cosine of the angle

Step-by-step explanation:

Cos = adj/hyp

in unit circle

cos = x/1

cos = x

x is the horizontal leg

Answer:

C. Cosine of the angle

Step-by-step explanation:

I calculated it logically

Answer:

The answer should be $57000(1.025)²⁰ = $93,401

Step-by-step explanation:

Answer:did you get the answer yet cause I really need it

Step-by-step explanation: please y’all help this person answer the question

Answer:

539,900 if thats what you're looking for.

Step-by-step explanation:

Answer:

539900

Step-by-step explanation:

Answer:yes

Step-by-step explanation: it represents a function

She can find out answer by dividing 21÷3 and the answer is 7

She can make 7 bird house

7 is the answer of the question

21÷ 3

=7

Step-by-step explanation:

hope it is helpful to you

Answer: Graph D

Step-by-step explanation: Got it right on plato

The graph of a function with the same amplitude as m(x) is graph D.

The general cosine function is written as:

f(x) = A*cos(kx) + M

Where A is the amplitude, k is the angular frequency, and M is the midline.

In our case:

m(x) = -2*cos(x+π).

The amplitude is -2, which means that the distance between a peak and a trough must be twice the absolute value of the amplitude:

2*|-2| = 4

With this in mind, the only graph that meets this requirement is the graph D.

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Answer:

The original number was -8

Step-by-step explanation:

You can find this out because -8 divided by 2 is -4 and then plus 10 would become 6

Answer:

-8

Step-by-step explanation:

We know that Sara has a number by which she divides by 2, added 10 and ended up with 6. We are then asked to find the original number she had in mind.

To solve, we need to go backwards, starting with the original number, and applying all the steps she did but with the opposite operation.

6 is her ended number, we know before she added 10, so subtract 10 from 6:

[tex]6-10=-4[/tex]

Now we know that she divided by 2, therefore multiply -4 by 2:

[tex]-4*2=-8[/tex]

-8 was Sara's first number.

Answer: seven-teen

Step-by-step explanation:twenty minus three

The age of the boy three years ago is A = 17 years

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The present age of the boy = 20 years

Three years ago, the boy's age would have been:

20 - 3 = 17

Hence , the boy was 17 years old three years ago.

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Answer:

[tex]x = 55°[/tex]

Step-by-step explanation:

L1 and L2 are parallel, so that the 2 interior angles are equal to 180°.

[tex](2x + 10) + (x + 5) = 180° \\ 2x + x + 10 + 5 = 180° \\ 3x = 165° \\ x = 55°[/tex]

9514 1404 393

Answer:

  C. 6 > 3

Step-by-step explanation:

It is true that 6 is greater than 3.

__

All negative numbers are less than any positive numbers.

We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.

Answer:

c- use 1.0 as an estimate

Step-by-step explanation:

Answer:

the formula for finding cone volume is V=πr²× 1/3

Step-by-step explanation:

230=3.14×x²×1/3

we have to solve for X that is our radius

14.8

Answer:

The first three terms are: 25, 125 and 625

Step-by-step explanation:

Given

[tex]a =25; r = 5[/tex]

Required

The first three terms

The nth term of a geometry progression is:

[tex]T_n =ar^{n-1[/tex]

So, we have:

First term: [tex]n = 1[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_1 =25 * 5^{1-1[/tex]

[tex]T_1 =25 * 5^0[/tex]

[tex]T_1 =25 * 1[/tex]

[tex]T_1 =25[/tex]

Second term: [tex]n = 2[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_2 =25 * 5^{2-1[/tex]

[tex]T_2 =25 * 5^{1[/tex]

[tex]T_2 =25 * 5[/tex]

[tex]T_2 =125[/tex]

Third term: [tex]n = 3[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_3 =25 * 5^{3-1[/tex]

[tex]T_3 =25 * 5^{2[/tex]

[tex]T_3 =25 * 25[/tex]

[tex]T_3 =625[/tex]

Answer: 25,125,625

Step-by-step explanation:

edg 2

Answer:

<a=138°

<b=42°

<c=138°

<d=138°

<e=42°

<f=42°

Step-by-step explanation:

<a is supplementary with the 42° angle:

<a=180°-42°=138°

<b and the 42° are vertical angles, so:

<b=42°

<c and <a are also vertical angles so:

<c=<a=138°

<d and <a are corresponding angles, so:

<d=<a=138°

<e and <b are corresponding angles, so:

<e=<b=42°

<f and the 42° angle are corresponding angles, so:

<f=42°

<g and <c are corresponding angles, so:

<g=<c=138°

Answer:

x = 50

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

180 - 75 = 105

2x + 5 = 105

now I subtracted both sides by 5

2x = 100

divide both sides by 2:

x = 100/2

x = 50

Have a nice day!

Answer:

Step-by-step explanation:

Hope it is helpful.....

Answer:

S10= -341

Step-by-step explanation:

1,-2,4,-8,16,.......

Sum of first 10 terms of geometric sequence

Sn=a(r^n-1)/r-1

where, a= first term

n= number of terms

r=common ratio

common ratio (r)= second term/first term

r=-2/1

r=-2

a=first term

a=1

n= number of terms

n=10

S10=1[(-2)^10-1]/-2-1

S10=(1024-1)/-3

S10=1023/-3

S10= -341

therefore, the sum of the first 10 terms is -342

Answer:

12

It would be easier to explain if the triangle and the parallelogram have their points named.

Some first hints: The area of a tri

angle equals to 1/2 of height times length of corresponding base side. The area of a parallelogram equals to height times the corresponding base side. in addition, in a parallelogram, two opposing side have the exact same length.

Since then, we can write the area of the triangle as 1/2× h× 18= 9×h

we can write the area of the parallelogram as : 18×h

Since then, we can write the area of the compound as 9×h + 18×h= 27h.

Voila. I gues you can figure out the rest. Please ask more if you have trouble with this

Answer: 12

Step-by-step explanation:

Answer:

The theoretical probability that the first number is even and the second number is odd is [tex]\frac{1}{4}[/tex].

Step-by-step explanation:

Since each dice has six sides, and there are two die, the total amount of different outcomes are [tex]6^2[/tex] or 36. The probability of getting an even number on the first roll is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex], and the probability of getting an odd number on the second roll is also [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex], so the probability of getting an even number on the first roll and an odd number on the second roll is [tex]\frac{1}{2} * \frac{1}{2} = \frac{1}{4}[/tex].

Answer:

It would be 1/35.

Step-by-step explanation:

You turn 5 into 1/5 and then multiply 1/7 with 1/5, which is 1/35.

The value of the expression 1/7 divided by 5 is,

⇒ 1 / 35

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The expression is,

⇒ 1/7 divided by 5

Now, We can simplify as;

⇒ 1/7 divided by 5

⇒ 1 / 7 ÷ 5

⇒ 1 / 7×5

⇒ 1 / 35

Thus, The value of the expression 1/7 divided by 5 is,

⇒ 1 / 35

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The standard deviation of the distribution is 1.08.

Option B is the correct answer.

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

We have,

To find the standard deviation of the distribution, we first need to calculate the expected value (mean) of X.

The expected value of X is:

E(X) = (4)(0.4) + (3)(0.32) + (2)(0.17) + (1)(0.08) + (0)(0.03)

= 1.6 + 0.96 + 0.34 + 0.08 + 0

= 2.98

Next, we need to calculate the variance of X:

Var(X) = (4 - 2.98)²(0.4) + (3 - 2.98)²(0.32)

+ (2 - 2.98)²(0.17) + (1 - 2.98)²(0.08) + (0 - 2.98)²(0.03)

= 0.64(0.4) + 0.0004(0.32) + 0.7921(0.17) + 5.4084(0.08) + 8.6404(0.03)

= 0.256 + 0.000128 + 0.134257 + 0.432672 + 0.259212

= 1.082

The standard deviation of X is the square root of the variance:

So,

SD(X) = √(Var(X))

= √(1.082)

= 1.04 (approximately)

Thus,

The standard deviation of the distribution is 1.08.

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Answer:

20 units

Step-by-step explanation:

The formula for the area:

A = bh × 1/2

B = 8 units

H = 5 units

8 × 5 = 40

40 × 1/2 = 20

Answer:

1. Obtuse angle

2. 5

3. 117

Step-by-step explanation:

1. Any angle that is wider than 90 degrees is obtuse.

2. 180 = straight angle so, 180-140=40 8x5=40 so x=5

3. Supplementary angles are one angle that is 180 so, 180-63= 117