From the diagram below, you can say that the two triangles are
Select one:
Congruent by SAS
Not Congruent
Congruent by HL
Congruent ASA

Answer:

18.06

Step-by-step explanation:

law of cos()

b^2 = (16.5)^2 + (17.1)^2 - 2(16.5)(17.1)cos(65)

[tex]\frac{3\sqrt{2}\sqrt{-3135\cos \left(65^{\circ \:}\right)+3137}}{10}\quad \begin{pmatrix}\mathrm{Decimal:}&18.06035\dots \end{pmatrix}[/tex]

Answer:

-6

Step-by-step explanation:

you have to divide both sides by -13

-13x/-13=78/-13

x=-6

remember that the sign also matters.

I hope this helps

Answer:

a) 45° cause tan = sin/cos and sin 45 and cos 45 both give square root 2/2

b) 120°

c) sin = -1/2 = -30° or 330° both are same

Use the trig circle which i have included in the answer to better understand trig angles

hope that answers your question

I want to let you know that each angle has sets of coordinates the left number is cos and right is sin. Ex) sin of 30 is 1/2 and cos of 30 is square root 3/2 In case you dont fully understand dont hesitate to comment.

good luck!!

Answer:

4. E=4x-15(vertically opposite)

F=E(corresponding angles)

E=4x-15

5.3x+6x+O=180(angles on a straight line)

9x+0=180

9x=180-0

9x/9=180/9

x=20

Answer:

3.049

Step-by-step explanation:

[tex]\huge\blue{ANSWER}:—[/tex]

Plz mark me as brainliest as I have solve all the questions for you

Answer:1 : x is 95/3

4 x is -32/10

7 b is 6

10 x is 20/7

13 x is 9/2

Step-by-step explanation:

Answer:

not great with math but I'm sure it's the second circle

Explanation:

We use the difference of squares rule to say

(m-n)(m+n) = m^2 - n^2

So in this particular case,

(8z-9)(8z+9) = (8z)^2-(9)^2 = 64z^2 - 81

We can see that the 64 matches with the 'a' of the expression az^2-81, which must mean a = 64

Side note: This means b = 81

Answer:

64

Step-by-step explanation:

took the test

Answer:

.14

Step-by-step explanation:

The relative frequency that favors football is around 0.14, or 14%.

Given that Phoebe took a survey of her classmates' favorite sport.

We need to find the relative frequency of survey members who prefer football,

Preferred sports =

Football    baseball     basketball    tennis       others     total

     4              5                     8                 7              4          28

To calculate the relative frequency of survey members who prefer football, you need to divide the number of people who prefer football by the total number of survey respondents.

According to the table, the number of people who prefer football is 4, and the total number of respondents is 28.

Relative Frequency = Number of people who prefer football / Total number of respondents

= 4 / 28

≈ 0.14

Therefore, the relative frequency of survey members who prefer football is approximately 0.14 or 14%.

To know about frequency distribution, here

brainly.com/question/1094036

#SPJ4

Answer:

x≈64.3

Step-by-step explanation:

since we already know the measures of 2 of the 3 angles in the triangle, we can find the 3rd angle:

180°-90°-25°=65°

now, we can use the law of sines to find the missing side:

sin25°/30=sin65°/x

x sin25°=30sin65°

x=(30sin65°/sin25°)

x≈64.33520762

rounded to the nearest 10th:

x≈64.3

Answer:

El problema esta incompleto, pero es facil ver que se desea estudiar el enfriamiento de la olla.

Sabemos que la ecuación de enfriamiento de Newton es:

[tex]T (t) = T_s + (T_0 - T_s)*e^{-k*t}[/tex]

Donde t es el tiempo.

[tex]T_s[/tex] es la temperatura del ambiente, en este caso es 12°C

[tex]T_0[/tex] es la temperatura inicial del objeto, en este caso 175°C

k es una constante, que es lo que usualmente se pide obtener en este tipo de problemas.

Reemplazando esos valores en nuestra ecuación obtenemos:

[tex]T(t) = 12 + (175 - 12)*e^{-k*t}\\\\T(t) = 12 + (163)*e^{-k*t}[/tex]

Ahora se nos dice:

"Luego de 10 minutos, la temperatura de la olla será de 100°C"

(estos valores no son necesariamente los del problema, son unos valores genéricos para poder mostrar como se resuelve este tipo de ejercicio)

Entonces, T(10 min) = 100°C

Reemplazando eso en nuestra ecación, obtenemos:

[tex]T(10 min) = 100 = 12 + (163)*e^{-k*10min}[/tex]

Ahora podemos despejar el valor de k resolviendo la ecuación de arriba.

[tex]100 - 12 = (163)*e^{-k*10min}\\\\88 = (163)*e^{-k*10min}\\\\88/163 = e^{{-k*10min}[/tex]

Ahora podemos recordar que:

ln(e^x) = x

Entonces aplicando el logaritmo natural a ambos lados, obtenemos:

[tex]ln(88/163) = ln(e^{-k*10min}) = -k*10min\\\\ln(88/163)/(-10 min) = k = 0.062 min^{-1}[/tex]

Así hemos encontrado el valor de k, y con exactamente el mismo método podríamos encontrar k en cualquier situación de este tipo.

Answer:

30

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

The equation modelling the statement is

[tex]\frac{x}{3}[/tex] - 1 = 2 ( [tex]\frac{x}{4}[/tex] - 3 ) ← distribute parenthesis by 2

[tex]\frac{x}{3}[/tex] - 1 = [tex]\frac{x}{2}[/tex] - 6 ( multiply through by 6 to clear the fractions )

2x - 6 = 3x - 36 ( subtract 2x from both sides )

- 6 = x - 36 ( add 36 to both sides )

30 = x

Answer:

C

because if you arrange orderly ie in an ascending order or a descending order,the middle number is the median and median means average

Answer:

x/4+10=2

x/4=2-10

x/4=-8

x=-8 x 4

x=-32

Step-by-step explanation:

Answer:

PR is the diameter of the circle

Answer:

Step-by-step explanation:

Diameter: connecting 2 points on a circle passing through the center.

OAmalOHopeO

Answer: -170

Concept:

When encountering questions that require multiple steps of the calculation, it is suggested to follow the PEMDAS.

Solve:

**Disclaimer** I assume that it is supposed to be (25 + 45). If it was, then you may refer to my answer. If the ")" after 45 is just a typo, you may point it out and I will redo it.

Given expression

 13 + {16 + 2 - [(25 + 45) × 3] + 9}

Do the parenthesis of the inner most

=13 + {16 + 2 - [70 × 3] + 9}

=13 + {16 + 2 - 210 + 9}

Do addition first, then subtraction

=13 + {18 - 210 + 9}

=13 + {27 - 210}

=13 - 183

=-170

Hope this helps!! :)

Please let me know if you have any questions

Answer:

83,55,41

Step-by-step explanation:

1/10 : 1/15 : 1/20

180/10 : 180/15 : 180/20

18 : 12 : 9

=> 6 : 4 : 3

Sum of the ratios = 6 + 4 + 3 = 13

1st ratio: (6/13) * 180 = 83       (approximately)

2nd ratio: (4/13) * 180 = 55     (approximately)

3rd ratio: (3/13) * 180 = 41       (approximately)

∴ Three parts of 180 in the ratio 6 : 4 : 3 is 83, 55 and 41

There are many answers we could go with here. One such answer could be the following:

You are 6 meters below the ocean surface doing a deep sea dive. This is represented by -6. Then going up 6 meters means you'll add on 6 to say (-6)+6 = 0, showing that you are at the 0 meter height, aka sea level.

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

Another possible answer could be this:

You are 6 dollars in debt. Debt is represented with negative numbers. You then somehow get 6 dollars in which you use to pay off that debt. Your balance is now (-6) + 6 = 0 dollars.

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

Another possible answer could be this:

Walking to the left is defined as moving in a negative direction. So -6 could mean we've moved 6 feet to the left. On the flip side, +6 means we move 6 feet to the right. The two cancel each other out (-6)+6 = 0 which says at the end of the day, we haven't moved anywhere. In other words, our displacement is 0 feet.

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

I'm sure there are other more creative ways to answer this question, but those three ideas above are good possible starting points.

Answer:

Option d, ln 54.6 = 4

Step-by-step explanation:

54.6 = e⁴

taking log both side (where base of log is e)

ln 54.6 = log e⁴

or, ln 54.6

or, ln 54.6 = 4×ln e

or, ln 54.6 = 4 (ln e = 1)

Answered by GAUTHMATH

Answer:

A-B

Step-by-step explanation:

It doesn't say A=B... But just that A is a subset of B.

Anyways, why not try an example to help reveal the answer.

Let the universe set, U, be U={1,2,3,4,5,6}.

Let B={1,2,3,4} and A={1,3,5}

First choice would become A'={2,4,6}

Second choice would become B'={5,6}

Third choice would become A-B={5}

Fourth choice is just { }

B'-A'={5}

The only choice matching is A-B

*Just so you know X-Y is the set of elements contained in X only if they are not also in Y.

Answer:

x = 240

Step-by-step explanation:

Apply the leg rule to find the value of x.

Leg rule is given as:

Hypotenuse/leg 1 = leg 1/part 1

Hypotenuse = 400

Leg 1 = x

Part 1 = 144

Plug in the known values into the formula

400/x = x/144

Cross multiply

x*x = 144*400

x² = 57,600

Take the square root of both sides

√x² = √57,600

x = 240

Answer:

The radius of the circle if the circumference is 44 cm will be 7 cm.

Step-by-step explanation:

➝ Circumference of the circle = 44 cm

➔ Circumference = 2πr [For finding radius]

Finding the radius:-

➜ Let radius be r.

➜ 44 = 2 × 22/7 × r

➜ Multiply 2 × 22/7

➜ 44 = 44/7 × r

➜ Taking 7 to LHS.

➜ 44 × 7 = 44 × r

➜ 308 = 44 × r

➜ Taking 44 to LHS.

➜ 308/44 = r

➜ 308/44 = 7

➜ 7 = r

➜ r = 7

Answer:

Scale factor = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

From the picture given in the question,

If the larger figure is dilated to form the smaller figure,

Scale factor by which a figure is dilated with is determined by the expression,

Scale factor = [tex]\frac{\text{Measure of one side of the smaller figure}}{\text{Measure of the corresponding side of the larger figure}}[/tex]

                    = [tex]\frac{3}{6}[/tex]

                    = [tex]\frac{1}{2}[/tex]

Answer:

[tex]\bar x_{girls} = 46.25[/tex]

Step-by-step explanation:

Given

[tex]Boys = 7\\Girls = 16[/tex]

[tex]\bar x = 49[/tex]

Required

Mean of girls

The mean of the boys and girls is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

This gives:

[tex]\bar x = \frac{\sum(boys) + \sum(girls)}{boys + girls}[/tex]

So, we have:

[tex]49= \frac{42+85+47+29+58+54+ 72 + \sum(girls)}{7 + 16}[/tex]

[tex]49= \frac{387 + \sum(girls)}{23}[/tex]

Cross multiply

[tex]23 * 49=387 + \sum(girls)[/tex]

[tex]1127=387 + \sum(girls)[/tex]

Subtract by 387

[tex]1127-387 = \sum(girls)[/tex]

[tex]740= \sum(girls)[/tex]

[tex]\sum(girls) = 740[/tex]

The mean of girls is:

[tex]\bar x_{girls} = \frac{\sum(girls)}{girls}[/tex]

[tex]\bar x_{girls} = \frac{740}{16}[/tex]

[tex]\bar x_{girls} = 46.25[/tex]

Answer:

x=50

Step-by-step explanation:

Look at the triangle as a whole. This is a 30-60-90 triangle by speculation. You can see that the hypotenuse is equal to 100. By using sine (you can use cosine as well) , you get the expression, "(sin 30 degrees) = x/100" since sin is the opposite side over the hypotenuse. Do some basic trigonometry to get "1/2 = x/100". By now, you should know that 50/100 is the same as 1/2.

Answer:

20

Step-by-step explanation:

Use the Pythagorean theorem. a^2+b^2=c^2

12^2+16^2=c^2

144+256=c^2

400=c^2

20=c

Answer:

(4x10^1)(2x10^4)

=40^1 × 20^4

=800^5

Answer:

8 x 10^5

Step-by-step explanation:

We can start by grouping the powers of ten together and the other numbers together, as you can move numbers around when multiplying:

4 x 2 x 10^1 x 10^4

4 multiplied by 2 is 8, so we can put that in:

8 x 10^1 x 10^4

Next, using the product rule, 10^1 x 10^4 would be ten to the power of the sum of the two exponents, or 10^(4 + 1), which is 10^5.

We will be left with

8 x 10^5

This is in scientific notation, so no further modification is needed.

Can you attach a picture to your question?

I would love to help you out.

Answer:

Step-by-step explanation:

NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1

           where is question ??