please answer both thanks​

Answer:

[tex]x\approx 7.88[/tex]

Step-by-step explanation:

Since we are given the angle and the hypotenuse and we want to find the side opposite to the angle, we can use the sine ratio. Recall that:

[tex]\displaystyle \sin\theta^\circ =\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

Substitute:

[tex]\displaystyle \sin21=\frac{x}{22}[/tex]

Solve for x:

[tex]x=22\sin 21[/tex]

Use a calculator (make sure you're in Degrees mode!):

[tex]x\approx 7.88[/tex]

Answer:

Solution given:

f(x) = x +1 and g(x) = x²,

now

(gºf)(x) =g(fx)=g(x+1)=(x+1)²

B) (gºf)(x) = (x + 1)^2

[tex]\longrightarrow{\green{ \frac{ {x}^{2} }{4} - \frac{4x}{3} + \frac{5}{3} }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]( \frac{1}{2} x - \frac{5}{3} ) \times ( \frac{1}{2} x - 1) \\ \\ = \frac{1}{2} x \: ( \frac{1}{2} x - 1) - \frac{5}{3} \: ( \frac{1}{2} x - 1) \\ \\ = \frac{ {x}^{2} }{4} - \frac{x}{2} - \frac{5x}{6} + \frac{5}{3} \\ \\ = \frac{ {x}^{2} \times 3 }{4 \times 3} - \frac{x \times 6}{2 \times 6} - \frac{5x \times 2}{6 \times 2} + \frac{5 \times 4}{3 \times 4} \\\\ = \frac{3 {x}^{2} - 6x - 10x + 20}{12} \\ \\ = \frac{3 {x}^{2} - 16x + 20 }{12} \\\\= \frac{ {x}^{2} }{4} - \frac{4x}{3} + \frac{5}{3} [/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

C : 45

Step-by-step explanation:

Have a nice day :)

Answer:

A. 8

Step-by-step explanation:

sqrt{64} is 8 (8*8)

Answer:

8

Step-by-step explanation:

There are 8 members in each row

The answer is C. No, the adjacent sides are not perpendicular.

Answer

D is the correct answer.

Reason

it is so because rectangle has adjacent perpendicular parallel sides with opposite sides equal

Answer:

[tex]\frac{5}{2}[/tex] or 2.5

Hope that this helps!

Answer:

since .875 > .857 Snail B is moving faster

Step-by-step explanation:

divide 6 by 7 to get the number of feet in one hour for Snail A

7 into 6 is .857

divide 7 by 8 to get the number of feet in one hour for Snail B

8 into 7 is .875

I believe the answer to this is:

Snail B went faster than Snail A.

Hope this helps! :D

Answer:

(B)  If the spinner is spun 64 times, you would predict it to land on each section 16 times.

&

(D) The theoretical probability is 25% for each section.

I got this question right

Answer:

[tex]\displaystyle V = 2064.19 \ cm^3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

r = 7.9 cm

Step 2: Find Volume

Answer:

final answer:

y-1= 3x_6

To solve our given problem, we must find the equation of the tangent line of the function f(x)=(x−1)3, at x=2.

.

.

Answer: a. $21

b. $14

Step-by-step explanation:

Selling price of desk organizer = $35

Markup rate = 60%

a. The markup will be:

= Markup rate × Selling price

= 60% × $35

= 0.6 × $35

= $21

Therefore, the markup is $21

b. The cost will then be:

Cost price = Selling price - Markup

= $35 - $21

= $14

Answer:

64

Step-by-step explanation:

You can figure it out by adding all the interior angles.

(180-75=105º)

(180-67=113º)

105+113+90=308º

The sum of interior angles is (n-2) × 180 so the sum in his case is

(5-2) ×180=540º

540º-308º=232º

However that is the sum of the two angles but since the angles are the same size, we can divide by 2

232º÷2=116º

We must remember that this is an interior angle so we now can calculate the value of y

180º-116º=64º

Answer:

the quotient is 2

Step-by-step explanation:

4/1=4

4/2=2

Answer:

Option c:

[tex]0.25 \pm 1.645\sqrt{\frac{0.25*(1-0.25)}{90}}[/tex]

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

You have access to first year enrolment records and you decide to randomly sample 119 of those records. You find that 89 of those sampled went on to complete their degree. This means that [tex]n = 119, \pi = \frac{89}{119} = 0.7478[/tex].

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Sample of 90 people with a sample proportion of 0.25

This means that [tex]n = 90, p = 0.25[/tex].

Confidence interval:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.25 \pm 1.645\sqrt{\frac{0.25*(1-0.25)}{90}}[/tex]

Which is option c.

Answer:

C.

Step-by-step explanation:

Answer:

there is significant difference bag weights for two machines

Step-by-step explanation:

Given the data :

Machine 1: 2.95 3.45 3.50 3.75 3.48 3.26 3.33 3.20 3.16 3.20 3.22 3.38 3.90 3.36 3.25 3.28 3.20 3.22 2.98 3.45 3.70 3.34 3.18 3.35 3.12

Machine 2: 3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.27 3.39 3.34 3.35 3.19 3.35 3.05 3.36 3.28 3.30 3.28 3.30 3.20 3.16 3.33

Hypothesis:

H0 : σ1² = σ2²

H1 : σ1² ≠ σ2²

Using calculator, we can obtain the standard deviation of machine 1 and 2 :

Machine 1 : s1 = 0.2211

Machine 2 : s2 = 0.0774

Using the Fratio:

F test = s1² / s2² = 0.2211² / 0.0774² = 8.16

Sample size, n1 = 25 ; n2 = 22

Degree of freedom, n1 - 1 = 25 - 1 = 24 ; n2 - 1 = 22 - 1 = 21

The Pvalue Using the Pvalue from Ftest calculator :

Pvalue < 0.00001

Since Pvalue < α ; We reject the Null and conclude that ; there is significant difference in the bag weights for two machines at 0.05

The solution is:

The figure has 4 lines of symmetry.

- A vertical line through the middle of the figure.

- A horizontal line through the middle of the figure.

- The two diagonals through the figure are lines of symmetry too.

In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry.

here, we have,

Explanation

Lines of symmetry refer to lines that can be drawn on figures and the figure on either sides of the line will be mirror images of each other.

For example, for this figure given, if a vertical line is drawn straight through the middle of the figure, the two resulting figures on either sides of the vertical line will be mirror images of each other.

So, the other lines of symmetry for this include

- A horizontal line through the middle of the figure

- The two diagonals through the figure are lines of symmetry too.

To learn more on line of symmetry click:

https://brainly.com/question/29157578

#SPJ3

3 of 7 and the chances of getting red is 4 of 7

Step-by-step explanation:

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

Explanation:

The fraction 3/7 represents the probability of picking a blue marble since there are 3 blues out of 3+4 = 7 total.

Because the first marble is put back, this means the probability of picking blue does not change. So 3/7 is the probability of picking another blue marble.

Overall, we have (3/7)*(3/7) = 9/49 as the probability of picking two blues in a row.

Answer:

please make the drawings cleared

Answer:

w ≈ 21.053 inches

l ≈ 28.353 inches

Step-by-step explanation:

Answer:

 (f + g)(x) = x - 7    (Answer B)

Step-by-step explanation:

To find  (f + g)(x)  add together the like terms of f(x) and g(x):

(f + g)(x) = -3x - 5 + 4x - 2, or

 (f + g)(x) = x - 7    (Answer B)

Answer:

A. The slope of Function A is greater than the slope of Function B.

Step-by-step explanation:

The slope of a function can be defined as rise/run. In Function A, the rise/run is 4. The slope in Function B is much easier to see: it is 2. Because 4 is greater than 2, Function A has a greater slope than Function B.