SSA triangles always have two solutions.
(A.) True
(B). False

Answer:

Step-by-step explanation:

STEPS USING FACTORING

a  

2

−13a+42=0

To solve the equation, factor a  

2

−13a+42 using formula a  

2

+(a+b)a+ab=(a+a)(a+b). To find a and b, set up a system to be solved.

a+b=−13

ab=42

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 42.

−1,−42

−2,−21

−3,−14

−6,−7

Calculate the sum for each pair.

−1−42=−43

−2−21=−23

−3−14=−17

−6−7=−13

The solution is the pair that gives sum −13.

a=−7

b=−6

Rewrite factored expression (a+a)(a+b) using the obtained values.

(a−7)(a−6)

To find equation solutions, solve a−7=0 and a−6=0.

a=7

a=6

There are basically 6 ratios used for finding the elements in Trigonometry. They are called trigonometric functions. The six trigonometric functions are sine, cosine, secant, cosecant, tangent and cotangent.

By using a right-angled triangle as a reference, the trigonometric functions and identities are derived:

sin Î= Opposite Side/Hypotenuse

cos Î= Adjacent Side/Hypotenuse

tan Î= Opposite Side/Adjacent Side

sec Î= Hypotenuse/Adjacent Side

cosec Î= Hypotenuse/Opposite Side

cot Î= Adjacent Side/Opposite Side

All these are taken from a right-angled triangle.

When the height and base side of the right triangle are known, we can find out the sine, cosine, tangent, secant, cosecant, and cotangent values using trigonometric formulas.

The reciprocal trigonometric identities are also derived by using the trigonometric functions.

To know more about trigonometric functions visit brainly.com/question/6904750

#SPJ4

Answer:

I think A or D but i'm stuck on D

Step-by-step explanation:

Answer:

D because if you multiply all the other brands to get a 100oz they are more expensive/ high than D.

Answer:

See below

Step-by-step explanation:

a) line marked a is tangent

b) line marked b is radius

c) line marked c is diameter

d) line marked d is chord

Answer:

The data is skewed to the bottom and contains an outlier.  

Step-by-step explanation:

1. Test for outlier

An outlier is a point that is more than 1.5IQR below Q1 or above Q3.  

IQR = Q3 - Q1 = 74 - 51 = 23

1.5 IQR  = 1.5 × 23 = 34.5

51 - 15 = 36 > 1.5IQR

The point at 15 is an outlier.

2. Test for normal distribution

The median is not in the middle of the box.  

Rather, it cuts the box into two unequal parts, so the data does not have a normal distribution.

3. Test for skewness

The longer part is to the left of the median, so the data is skewed left.

Answer:

(?) +3

Explanation:

it would be whatever N equals then add 3

Answer: x=16

Step-by-step explanation:

To find the axis of symmetry you need to find the value for x. the equation to find x is x=\(\frac{-b}{2a}\). Now solve-

x= \(\frac{-b}{2a}\)=\(\frac{-(-96)}{2(3)}\)=\(\frac{96}{6}\)=16

Answer:

7(8) - 5(8.2) = 56 - 41 = 15

The lowest possible score that Catherine could have received is 15 - 10 = 5.

Answer:

x = 15

yes

Step-by-step explanation:

17²= 289

8²= 64

A² + B² = C²

8²+ B² = 17²

64 + B² = 289

-64 -64

B²= 225

√225

B = 15

The volume of the cube after removing a sphere of diameter 10cm from it = 476.67 cm³

Volume of a cube = \(side^{3}\) (side = side of the cube)

What is the volume of a sphere?

Volume of a sphere = \(\frac{4 \pi (radius)^{2} }{3}\) (radius = radius of the sphere)

Given:

Total volume of the cube = \(10^{3}\) = 1000 cm³

Volume of the sphere = \(\frac{4\pi (5)^{3} }{3}\) = 523.33 cm³

Volume of the cube after removing the sphere of diameter 10cm = Total volume of the cube - Volume of the sphere = 1000 - 523.33 = 476.67 cm³

Hence, the required volume of the cube = 476.67 cm³

To learn more about the volume of shapes, refer to the link: https://brainly.com/question/16717260

#SPJ4

Using the concepts of probability, we got that  0.063 is the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time

We know very well that probability is defined as the fraction of number of favorable outcomes to the total number of outcomes.

Here, we are rolling a 6-faced dice.

Getting 3 on the top face of dice is same as the any number getting from 1 to 6 on the top face of the dice.

So, every number has equal probability to come on the top face,  therefore the probability of getting 3 on the top face of dice is (1/6)

Now, similarly total number of marbles in the bag=6 blue +3 black+8 orange marble=17 marbles.

Now, picking one marble from 17 marble is can be done in \(^1^7C_1\)  ways, similarly  choosing 1 blue marble from 6 marble can be done in \(^6C_1\) ways.

So, probability of picking 1 blue marble randomly=6/17

Now, the probability of picking 1 blue marble from 17 marbles along with rolling dice probability is given by =(6/17)×(1/6)=(1/17)=0.063

Hence, the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time is 0.063

To know more about probability, visit here:

https://brainly.com/question/11234923

#SPJ4

The vector equation is:

x(t) = 6cos(t)

y(t) = 6sin(t)

z(t) = 6cos(t) * \(e^{6sin(t)}\)

To find the vector equation that represents the curve of intersection between the cylinder and the surface, we can parameterize the curve using a parameter t. Let's denote x(t), y(t), and z(t) as the x-coordinate, y-coordinate, and z-coordinate of the curve at time t, respectively.

Given the equation of the cylinder x + y² = 36, we can rewrite it as x = 6cos(t) and y = 6sin(t), where t is the parameter that ranges from 0 to 2π, representing a full circle around the cylinder.

Now, let's substitute these x and y values into the equation of the surface z = x * \(e^y\):

x(t) = 6cos(t)

y(t) = 6sin(t)

z(t) = x(t) * \(e^{y(t)}\) = 6cos(t) * \(e^{6sin(t)}\)

Therefore, the vector equation representing the curve of intersection is:

r(t) = <x(t), y(t), z(t)> = <6cos(t), 6sin(t), 6cos(t) * \(e^{6sin(t)}\))>

So, the vector equation is:

x(t) = 6cos(t)

y(t) = 6sin(t)

z(t) = 6cos(t) * \(e^{6sin(t)}\)

Note: The parameter t represents the angle that determines the point on the curve of intersection as it travels around the cylinder.

To know more about vector:

https://brainly.com/question/24256726

#SPJ4

Answer:

(a) 48/60 = 4/5

(b) 150/60 = 15/6 = 5/2 = 2 1/2

(c) 84/98 = 12/14 = 6/7

(d) 12/52 = 3/13

(e) 7/28 = 1/4

The fractions reduced to their simplest form:

(a) 48/60 simplifies to 4/5.

(b) 150/60 simplifies to 5/2.

(c) 84/98 simplifies to 6/7.

(d) 12/52 simplifies to 3/13.

(e) 7/28 simplifies to 1/4.

Let's discuss each question separately:

(a) To reduce the fraction 48/60 to simplest form, we need to find the greatest common divisor (GCD) of both numbers. The GCD of 48 and 60 is 12. Dividing both the numerator and denominator by 12 gives us the simplified fraction 4/5.

(b) For the fraction 150/60, we find that the GCD of 150 and 60 is 30. Dividing both the numerator and denominator by 30 results in the simplified fraction 5/2.

(c) The fraction 84/98 can be simplified by dividing both the numerator and denominator by their GCD, which is 14. This gives us the simplest form of 6/7.

(d) To simplify the fraction 12/52, we calculate the GCD of 12 and 52, which is 4. Dividing both numbers by 4 yields the simplest form of 3/13.

(e) The fraction 7/28 can be simplified by dividing both the numerator and denominator by their GCD, which is 7. This simplifies the fraction to 1/4.

In summary, the fractions in their simplest forms are:

(a) 4/5

(b) 5/2

(c) 6/7

(d) 3/13

(e) 1/4.

To know more about fractions, refer here:

https://brainly.com/question/33083128#

#SPJ11

The order of reaction has a linear curve when plotting concentration versus time is second, the correct option is C.

The Order of reaction refers to the relationship between the rate of a chemical reaction and the concentration of the species taking part in it. In order to obtain the reaction order, the rate expression (or the rate equation) of the reaction in question must be obtained.

We are given that;

The plot is between concentration versus time

The curve is linear

Now,

The strength of the rate of dependency on the reactant concentration determines the reaction's order. Which gives, the rate of a first-order reaction will depend on the concentration of a single species, a second-order reaction will undoubtedly depend on the concentration of two species;

\(rate = k{[A]^x + [B]^y}\)

Therefore, for the given reaction the answer will be second order.

To know more about order of a reaction visit;

brainly.com/question/28179168

#SPJ1

Given:

Considering that the lower intersection is a translation of the upper intersection.

Required:

To find the meaning about the measures of the corresponding angles.

Explanation:

The ower intersection is a translation of the upper intersection.

This means that corresponding ngles overlap ech other on translation.

So, the corresponding angles are congruent.

Final Answer:

The corresponding angles are congruent.

Answer:

-5 < x < 10

Step-by-step explanation:

−6 < x − 1 < 9 just get rid of -1 by adding 1 to all three terms

-6 + 1 < x -1 + 1 < 9 + 1

-5 < x < 10

Answer:

| − 2 | − 7 2 x− 9 ⋅ 5 x − 4  − 6 ( y − 3 )

Step-by-step explanation:

Answer:

if am sure it's A

Step-by-step explanation:

The numeric value of ms within is = 19.

To find the numeric value of ms within:

Given: Swithin = 70, sample size = 17 and number of groups = 3.

So, 17 × 3 = 51

70 - 51 = 19

Therefore, the numeric value of ms within is = 19.

Know more about numeric values here:

https://brainly.com/question/27922641

#SPJ4

Answer:

C

Step-by-step explanation:

A typical water bed weighs around 1797.6 pounds. It depends upon the volume of water bed and the unit conversion of the weight and volume units.

A typical water bed holds 28 cubic feet of water.

The volume of the typical water bed and its weight can be calculated with the help of the quantities:

Identify the volume of water held by the water bed, which is 28 cubic feet.
Multiply the volume by the weight of 1 cubic foot of water, which is 64.2 pounds.
Perform the calculation: 28 cubic feet × 64.2 pounds per cubic foot = 1797.6 pounds.

Therefore, a typical water bed weighs approximately 1797.6 pounds when filled with water.

Learn more about Typical water bed here:

https://brainly.com/question/28587577

#SPJ11

Answer:

I believe its 40%

Step-by-step explanation:

I just did 100 divided by 5 = 20

20 + 20 = 40

Answer:

x=4

Step-by-step explanation:

Measures of central tendency, measures of variation, and crosstabulation are all types of descriptive statistics.

Descriptive statistics summarize and describe the main features of a data set, including the typical or central values (measures of central tendency) and the spread or variability of the data (measures of variation). Crosstabulation, also known as contingency tables, is a way to summarize the relationship between two variables by displaying their frequency distributions in a table format.
Measures of central tendency, measures of variation, and crosstabulation are types of descriptive statistics. Descriptive statistics are used to summarize and describe the main features of a dataset in a simple and meaningful way.

Central tendency refers to the measures that help identify the center or typical value of a dataset, such as mean, median, and mode. Variation measures describe the spread or dispersion of data, including range, variance, and standard deviation. Crosstabulation is a method of organizing data into a table format to show the relationship between two categorical variables.

Learn more about descriptive statistics:

brainly.com/question/29487303

#SPJ11

Answer:

Its 6.45

Step-by-step explanation:

we first need to know how much is one pane of glass so i divide

15.05÷ 7 and got $2.15

so each one pane of glass is $2.15

than i multiply 2.15 x 3 and got 6.45

So the cost is 6.45

Answer:

66.6667

Step-by-step explanation:

100% correct mark brainliest

Answer:

1742 is divided by 2.16 than answer is 418.75

Answer:

Smallest divisible number = 660

Step-by-step explanation:

Given:

Numbers

10, 11, 12

Find:

Smallest divisible number

Computation:

Factor

10 = 2×5

11 = 11×1

12 = 2×2×3

Smallest divisible number = 2×2×3×5×11

Smallest divisible number = 660

Answer:

.

Step-by-step explanation: