Help ASAP! Will give brainliest

Answer:

a² = 16

Step-by-step explanation:

substitute a = 4 into the expression

a² = 4² = 4 × 4 = 16

Answer:

16

Step-by-step explanation:

To find side given angle and two sides:

a² = b² + c² − 2bc cos(A)

Here given:

Solve for AC (a):

Answer:

AC = 14.8 cm (1 dp)

Step-by-step explanation:

Cosine rule

[tex]\sf b^2=a^2+c^2-2ac \cos B[/tex]

(where a, b and c are the sides, and B is the angle opposite side b)

Given:

Substituting the given values into the formula and solving for b:

[tex]\implies \sf AC^2=10^2+7^2-2(10)(7) \cos 120^{\circ}[/tex]

[tex]\implies \sf AC^2=100+49+70[/tex]

[tex]\implies \sf AC^2=219[/tex]

[tex]\implies \sf AC=\pm\sqrt{219}[/tex]

As length is positive,

[tex]\implies \sf AC=\sqrt{219}\:cm[/tex]

[tex]\implies \sf AC=14.8\:cm\:(1\:dp)[/tex]

Answer:

122.7 cm³

Step-by-step explanation:

    Square pyramid:

          a = 4 cm ; h = 4 cm

       [tex]\boxed{\text{Volume of square pyramid = $\dfrac{1}{3}$*base area * height}}[/tex]

                                                   [tex]\sf = \dfrac{1}{3}*a^{2}*h\\\\ =\dfrac{1}{3}*4*4*4\\\\ = 21.3 \ cm^3[/tex]

Rectangular prism:

        l = 6 cm ; w = 6 cm  ; h = 4 cm

        [tex]\boxed{\text{Volume of rectangular prism = l*w*h}}[/tex]

                                                       = 6 * 6 * 4

                                                       = 144 cm³

                       = 144 - 21.3

                       = 122.7 cm³

[tex]\left[\begin{array}{cc}1&3\\0&-2& \end{array}\right] \begin{bmatrix} 3& 1&-1& 0 \\ -1& 0&3&-1\end{bmatrix}\\\\\\=\begin{bmatrix} 3-3& 1+0&-1+9&0-3\\ 0+2&0-0&0-6&0+2\end{bmatrix}\\\\\\=\begin{bmatrix} 0&1&8&-3\\2&0&-6&2\end{bmatrix}[/tex]

Answer:

hope this will help you ( ◜‿◝ )♡

Step-by-step explanation:

[tex] \frac{ \sin(theta) }{ \sqrt{1 - \sin {}^{2} ( theta) } } \\ \frac{ \sin(theta) }{ \cos(theta) } \\ \tan(theta) [/tex]

Answer:

-3 -2 -1 = -6 0 times 1 times 2 times 3 = 0 -12 -7 -4 = -23

Step-by-step explanation:

Step-by-step explanation:

Hope you'll understand

Answer:

the answer is the numbers in the expressions inside the bracket should be added not subtracted

Step-by-step explanation:

hope it helps

Answer:

5/9.

Step-by-step explanation:

Theoretical probability = number of outcomes with1 or 2 blues

                                         -------------------------------------------------------

                                             number of all possible outcomes

= 5/9

Using the normal distribution, it is found that 56.78% of the penguins from the population have a weight between 13.0 kg and 16.5 kg.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 15.1, \sigma = 2.2[/tex].

The proportion of penguins from the population have a weight between 13.0 kg and 16.5 kg is the p-value of Z when X = 16.5 subtracted by the p-value of Z when X = 13.

X = 16.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16.5 - 15.1}{2.2}[/tex]

Z = 0.64

Z = 0.64 has a p-value of 0.7389.

X = 13:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{13 - 15.1}{2.2}[/tex]

Z = -0.95

Z = -0.95 has a p-value of 0.1711.

0.7389 - 0.1711 = 0.5678.

0.5678 = 56.78% of the penguins from the population have a weight between 13.0 kg and 16.5 kg.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1

Answer:

300

Step-by-step explanation:

[tex]5\% \: of \: x = 15 \\ x = 1500 \div 5 = 300[/tex]

Considering the amount they raised and the amount they spent, it is found that the art club had $358 after the show.

The net amount is found by the subtraction of the amount raised by the amount spent.

In this problem:

Then:

A = 564 - 206 = $358.

The art club had $358 after the show.

More can be learned about net amount had https://brainly.com/question/12371230

#SPJ1

Answer:

36 38 40 42

and

38 40 42 44.

Step-by-step explanation:

160 / 4 = 40  so the numbers are close to 40.

38 + 40 + 42 + 44 = 164

36 + 38 + 40 + 42 = 156.

All vertical lines intersected the curve at exactly 1 point.

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

Explanation:

If there is a case when a single vertical line crosses 2 or more points on the  curve, then it will not be a function. In this situation, it is said that the curve fails the vertical line test.

Passing the vertical line test means that every vertical line passes through exactly one point on the curve. Each x input leads to exactly one output. If such a situation happens, then we have a function.

Since Kelly concluded that the curve is a function, this means the curve passed the vertical line test, and it points us to choice D as the answer.

Answer:

B=41

Step-by-step explanation:

Triangle = 180 degrees.

108+31=139

180-139=41\

B = 41 degrees

Answer:

Angle HEF

105*

Step-by-step explanation:

Answer:

a) 52.0 cm

b) 62.8 cm

c) 114.8 cm

Conversion:

120° = 2π/3 radians

(a) Find Length of chord PR;

⇒ 2(radius)sin(θ/2)

⇒ 2(30)sin((2π/3)/2)

⇒ 2(30)sin((2(3.142)/3)/2)

⇒ 30√3

⇒ 52.0 cm

(b) Find Length of arc PQR;

⇒ radius(θ)

⇒ 30(2π/3)

⇒ 30(2(3.142)/3)

⇒ 62.8 cm

(c) The perimeter of shaded region;

⇒ Length of chord + Length of arc

⇒ 62.84 + 51.965

⇒ 114.8 cm

Answer:

(a)  52.0 cm

(b)  62.8 cm

(c)  115 cm

Step-by-step explanation:

Part (a)

[tex]\textsf{Chord length}=2r \sin \left(\dfrac{\theta}{2}\right)[/tex]

where:

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies PR & =2(30)\sin \left(\dfrac{120^{\circ}}{2}\right)\\\\& = 30\sqrt{3}\\\\ & = 52.0\:\sf cm\:(3\:sf)\end{aligned}[/tex]

Part (b)

[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad[/tex]

where:

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies PQR & =2 (3.142)(30)\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \quad\\\\ & = \dfrac{1571}{25}\\\\ & = 62.8 \sf \:\:cm \:(3 \:sf)\end{aligned}[/tex]

Part (c)

[tex]\begin{aligned}\textsf{Perimeter of shaded portion} & = \textsf{chord length} + \textsf{arc length}\\\\ & = 30\sqrt{3}+\dfrac{1571}{25}\\\\ & = 114.80152...\\\\ & = 115\:\: \sf cm\:(3\:sf)\end{aligned}[/tex]

Answer:

[tex]27cm^{2}[/tex]

Step-by-step explanation:

Area of compound shapes = Area of shape A + Area of shape B

Area of this shape = (L x B) + (L x B)
                               = (5 x 3) + (6 x 2)
                               = 15 + 12
                               = [tex]27cm^{2}[/tex]

Answer:

A = 27 cm²

Step-by-step explanation:

the figure consists of 2 rectangles

the one on the right with dimensions 2 cm by 6 cm and

the one on the left with dimensions 5 cm by 3 cm

the total area (A) is then calculated as

A = (2 × 6) + (5 × 3) = 12 + 15 = 27 cm²

Answer:rectangle

Step-by-step explanation:

Answer:

26^2 meters

Step-by-step explanation:

l + b

16 + 10

= 26m×2

Answer:

x=4

Step-by-step explanation:

We know that in a parallelogram opposite sides are equal

Hence on equating we get,

[tex]6x - 20 = 4[/tex]

[tex]6x = 4 + 20[/tex]

[tex]6x = 24[/tex]

[tex]x = 4[/tex]

0.24 is the probability that the democratic candidate wins both Michigan and Ohio in the next presidential election

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

In the last 10 presidential elections, the democratic candidate has won six times in Michigan and four times in Ohio

We need to  find the probability of  that the democratic candidate wins both Michigan and Ohio in the next presidential election

As 6 wons from Michigan out of 10, so it 6/10

4 wons from Ohio out of 10, so it 4/10

The probability is 6/10/×4/10

24/100=0.24

In the next year also democratic candidate wons then the probabiltiy will be same 0.24

Hence 0.24 is the probability that the democratic candidate wins both Michigan and Ohio in the next presidential election

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

Answer:

75.36

hope this helps :)

Answer:

20

Step-by-step explanation:

2/3(30)

=20

Answer:

Yes.

Step-by-step explanation:

Let's first convert his speed to km/h.

[tex]\frac{105km}{1.5h} = 70\frac{km}{h}[/tex] > [tex]80\frac{km}{h}[/tex]. Therefore, Rob is traveling within the speed limit.

Answer:

Part A: 12.5 cm

Part B: 0.8 km

Step-by-step explanation:

Map scale problems can be solved with proportions.

Part A

5 cm / 2 km = x cm / 5 km

5/2 = x/5

2x = 25

x = 12.5

Answer: 12.5 cm

Part B

5 cm / 2 km = 2 cm / x km

5/2 = 2/x

5x = 4

x = 4/5

x = 0.8

Answer: 0.8 km

Answer:

im gonna say it would be around 9 inches, because the actual answer, a decimal, isnt an option so the closest would be around 9 in.

Answer:

for the first answer the second option is correct and 8 will go in the box and for the second question the second option is correct and 40 will go in the box.

Answer: 1725

Step-by-step explanation: A= A+B/2 h= 50+65/2x30=1725