The measure of the vertex angle of an isosceles triangle is (a + 30)°. The base angles each measure (2a - 15)º. What is the measure in degrees of one of the base angles?​

Answer:

Value of 7.34 centimeter into meter is 0.0734

Step-by-step explanation:

Given value;

7.34 centimeter

Find:

Value of 7.34 centimeter into meter

Computation:

We know that

⇒ 1 centimeter = 0.01 meter

So,

⇒ 7.34 centimeter = 7.34 x 0.01

⇒ 7.34 centimeter = 7.34 x 1/100

⇒ 7.34 centimeter = 7.34 / 100

⇒ 7.34 centimeter = 0.0734 meter

Value of 7.34 centimeter into meter is 0.0734

Answer:

if they are parallel it would almost be opposite but they would be negative instead of positive

Answer:

3

Step-by-step explanation:

hrhrhehrhrhrhrhruruurruururuur

Answer:

The zeros are 1 and 2

Step-by-step explanation:

Given

[tex]y =x^2 - 3x + 2[/tex]

Required

The zeros

[tex]y =x^2 - 3x + 2[/tex]

Expand

[tex]y =x^2 - 2x-x + 2[/tex]

Factorize

[tex]y =x(x - 2)-1(x - 2)[/tex]

Factor out x - 2

[tex]y =(x - 1)(x - 2)[/tex]

Set to 0

[tex](x - 1)(x - 2)=0[/tex]

Solve for x

[tex]x - 1 = 0 \to x =1[/tex]

[tex]x - 2 = 0 \to x =2[/tex]

Hence, the zeros are 1 and 2

C. a translation and a dilation

Step-by-step explanation:

the other person isn't wrong they just put it in the wrong order

Answer:c

Step-by-step explanation:took the test

Answer:

Kaylee must leave the money in the savings account for 3 years.

Step-by-step explanation:

Given that Kaylee wants to buy a car that costs $ 17,360, and she deposits $ 14,000 in a savings account that earns 8% simple interest, to determine how long was Kaylee leave the money in the savings account to be able to buy the car must be made the following calculation:

14,000 + (14,000 x 0.08 x X) = 17360

1,120X = 17,360 - 14,000

X = 3,360 / 1,120

X = 3

Therefore, Kaylee must leave the money in the savings account for 3 years.

Answer:

3, 5 and 15

Step-by-step explanation:

According to the triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle with side lengths 3, 5 and 15, since 3 + 5 is less than 15.

Answer:

[tex]\frac{1}{(x+1)(x-2)}[/tex]

Step-by-step explanation:

[tex]\frac{x+2}{4x^2 + 5x + 1} \ \times \ \frac{4x+1}{x^2-4}\\\\=\frac{x+2}{4x^2 + 4x + x + 1} \ \times \ \frac{4x+1}{x^2-2^2}\\\\=\frac{x+2}{4x(x + 1) + 1( x + 1)} \ \times \ \frac{4x+1}{(x - 2)(x + 2)} \ \ \ \ \ \ \ \ [ \ (a^2 - b^2 = (a-b)(a+b) \ ]\\\\\\=\frac{x+2}{(4x + 1)(x+1)} \ \times \ \frac{4x+1}{(x-2)(x+2)}\\\\=\frac{1}{(x+1)} \ \times \ \frac{1}{(x-2)}\\\\= \frac{1}{(x+1)(x-2)}[/tex]

Answer:

D. 1/(x+1)(x-2)

Step-by-step explanation:

i looked it up on a simplifier :)

Answer:

[tex] -\frac{9}{2} [/tex]

Step-by-step explanation:

Rate of change of x and y can be calculated using the following formula and using any two given pair of values from the table:

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Using (-12, 60) and (-6, 33).

Where,

[tex] (-12, 60) = (x_1, y_1) [/tex]

[tex] (-6, 33) = (x_2, y_2) [/tex]

Plug is the values

Rate of change = [tex] \frac{33 - 60}{-6 -(-12)} [/tex]

Rate of change = [tex] \frac{-27}{6} [/tex]

Simplify

Rate of change = [tex] \frac{-9}{2} [/tex]

Rate of change = [tex] -\frac{9}{2} [/tex]

9514 1404 393

Answer:

  D

Step-by-step explanation:

The sine function is negative only for angles greater than 180°. This eliminates choice B.

The sine function is periodic with a period of 360°, eliminating choices A and C.

The only viable choice is D, which is the correct one.

Solution :

Given :

X = the number of boys in a family of four children

Families having four children are chosen randomly.

The gender distribution in the four child family are equally probable.

Thus,

 X                P(X)                                          CDF

0             [tex]^4C_0 (1/2)^{4}[/tex]        = 1/16                     [tex]\frac{1}{16}[/tex]

1               [tex]^4C_1 (1/2)^{4}[/tex]       = 1/4                       [tex]\frac{5}{16}[/tex]

2                [tex]^4C_2 (1/2)^{4}[/tex]      = 3/8                      [tex]\frac{11}{16}[/tex]

3                [tex]^4C_3 (1/2)^{4}[/tex]      = 1/4                       [tex]\frac{15}{16}[/tex]

4                  [tex]^4C_4 (1/2)^{4}[/tex]    = 1/16                      1

Step-by-step explanation:

first, determine the coordinates values like x =9 and y=-5

so x-6 =3

Answer: 2617 centimeters cubed

Step-by-step explanation:

The formula for finding volume of a cylinder is [tex]V=\pi r^2h[/tex]

The radius is half of the diamerter which will be 7 for this figure.

The height is marked 17

[tex]\pi 7^2(17)\\\pi (49)(17)\\833\pi \\[/tex]

833π is about 2616.95

Rounded to the nearest whole number it is 2617

9514 1404 393

Answer:

  C.  4/9

Step-by-step explanation:

There are a couple of ways you can do this.

  [tex]\log_3{4x}-2\log_3{x}=2\\\\\log_3{4}+\log_3{x}-2\log_3{x}=2\\\\\log_3{4}-2=\log_3{x}\\\\4\cdot3^{-2}=x\qquad\text{take antilogs}\\\\\boxed{x=\dfrac{4}{9}}\\\\\textsf{or}\\\\\dfrac{4x}{x^2}=3^2\qquad\text{take antilogs}\\\\\dfrac{4}{9}=x\qquad\text{cancel $x$, multiply by $\dfrac{x}{9}$}[/tex]

Answer:

30

Step-by-step explanation:

third side is the hypotenuse since it is opposite to 90 degree.

using pythagoras theorem

a^2 + b^2 = c^2

24^2 + 18^2 = c^2

576 + 324 = c^2

900 = c^2

[tex]\sqrt{900}[/tex] = c

30 = c

therefore third side is 30.

Answer:

30

Step-by-step explanation:

[tex] {24}^{2} + 18 {}^{2} = c {}^{2} \\ 576 + 324 = c {}^{2} \\ \sqrt{900 = \sqrt{c }^{2} } \\ = 30[/tex]

Step-by-step explanation:

f(x) = 3√x /4

x=0 => y = 0

x=1 => y = 0.75

x=4 => y = 1.5 ==> (4, 1.5)

x=16=>y= 3

the right answer is the second graph

Answer:

-3

Step-by-step explanation:

X=-12/4

X=-3

hope it helps

Answer:

-3

Step-by-step explanation:

4x= -12

4x/4 = -12/4

x = -3

Step-by-step explanation:

Given:

[tex]\textbf{F} = (2xy + z^3)\hat{\textbf{i}} + x^3\hat{\textbf{j}} + 3xz^2\hat{\textbf{k}}[/tex]

This field will have a scalar potential [tex]\varphi[/tex] if it satisfies the condition [tex]\nabla \times \textbf{F}=0[/tex]. While the first x- and y- components of [tex]\nabla \times \textbf{F}[/tex] are satisfied, the z-component doesn't.

[tex](\nabla \times \textbf{F})_z = \left(\dfrac{\partial F_y}{\partial x} - \dfrac{\partial F_x}{\partial y} \right)[/tex]

[tex]\:\:\:\:\:\:\:\:\: = 3x^2 - 2x \ne 0[/tex]

Therefore the field is nonconservative so it has no scalar potential. We can still calculate the work done by defining the position vector [tex]\vec{\textbf{r}}[/tex] as

[tex]\vec{\textbf{r}} = x \hat{\textbf{i}} + y \hat{\textbf{j}} + z \hat{\textbf{k}}[/tex]

and its differential is

[tex]\textbf{d} \vec{\textbf{r}} = dx \hat{\textbf{i}} + dy \hat{\textbf{j}} + dz \hat{\textbf{k}}[/tex]

The work done then is given by

[tex]\displaystyle \oint_c \vec{\textbf{F}} • \textbf{d} \vec{\textbf{r}} = \int ((2xy + z^3)\hat{\textbf{i}} + x^3\hat{\textbf{j}} + 3xz^2\hat{\textbf{k}}) • (dx \hat{\textbf{i}} + dy \hat{\textbf{j}} + dz \hat{\textbf{k}})[/tex]

[tex]\displaystyle = (x^2y + xz^3) + x^3y + xz^3|_{(1, -2, 1)}^{(3, 1, 4)}[/tex]

[tex]= 422[/tex]

Answer:

the price per candy is $0.16

and she has $16.00 in her pocket.

Step-by-step explanation:

x = the money in her pocket.

y = the price per candy

x + 3.2 = 120×y

x - 2.4 = 85×y

y = (x - 2.4)/85

=>

x + 3.2 = 120×(x - 2.4)/85 = (24x - 57.6)/17

=>

(17x + 17×3.2)/17 = (24x - 57.6)/17

17x + 54.4 = 24x - 57.6

54.4 = 7x - 57.6

112 = 7x

x = 16

y = (16 - 2.4)/85 = 13.6/85 = 0.16

Answer:

C ,D , E just follow it . thank me later if its right

Answer:

E

Step-by-step explanation:

(10+7)(50+1)

=17×51

=867

Answer:

3 dollars

Step-by-step explanation:

Khan academy said so

Answer:

x<8

Step-by-step explanation:

Answer:

2310 ways

Step-by-step explanation:

We are given;

Number of cans = 11

Number of cans of corn = 4

Number of cans of peas = 1

Number of cans of beets = 6

Following the rule of combination and permutations and applying it to this question, we have;

Number of ways = 11!/(6! × 1! × 4!)

Number of ways = 2310 ways

Answer:

hypotenuse:15

Step-by-step explanation:

Pythagorean Theorem is a^2 + b^2 = c^2

"a" and "b" are the legs, "c" is the hypotenuse

9^2 + 12^2 = 225

[tex]\sqrt{225\\[/tex]

hypotenuse = 15

Answer:

x= -0.182 and +4

hope it helps

have a nice day

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Mean Absolute Deviation MAD

[tex]MAD = \sum_{i=1}^{n} \frac{\left | actual_{i}-forecast_{i} \right |}{n}[/tex]

Mean squared error  

[tex]MSE=\Sigma^{n}_{i=1} \frac{(Actual_i - Forecast_i)^2}{(n - 1)}[/tex]

linear trend equation is [tex]Ft = 124 + 2t[/tex]

[tex]MAD = \frac{23}{10} = 2.3\\\\MSE = \frac{91}{9}= 10.11\\\\[/tex]

Naive method

[tex]MAD = \frac{36}{9} = 4\\\\MSE = \frac{202}{8}=25.25\\\\MAD (Naive) = 4\\\\MAD (Linear) =2.3\\\\MSE (Naive)=25.25\\\\MSE (Linear)=10.11\\\\[/tex]

Please find the attached file.

Answer:

Brainly's honor code doesn't allow quiz questions to be posted.

"Students are never allowed 2 post questions directly from tests, quizzes, and assessments, or copy answers found on Brainly during tests, quizzes, and assessments."

Answer:

Set the expression inside the square root greater than or equal to zero. We do this because only nonnegative numbers have a real square root, in other words, we can not take the square root of a negative number and get a real number, which means we have to use numbers that are greater than or equal to zero.

Step 2: Solve the equation found in step 1. Remember that when you are solving equations involving inequalities, if you multiply or divide by a negative number, you must reverse the direction of the inequality symbol.

Step 3: Write the answer using interval notation.