find x. A. 21√2 B. 7 C. 21√3 over 2 D. 21√2 over 2

Find X. A. 212 B. 7 C. 213 Over 2 D. 212 Over 2

Answers

Answer 1

Answer:

D

Step-by-step explanation:

for you to find x you first have to find the adjacent of the 45° angle you can do that by using the other triangle.using the sin ratio

sin60=opposite/hypotenuse

sin60=a/73

a=10.5

then after you have found the adjacent you can use the cos ratio

cos45=adjacent/hypotenuse

cos45=10.5/x

cos45x/cos45=10.5/cos45

x=14.849

which is the same as 212 over 2

I hope this helps

Answer 2

Answer:

D

Step-by-step explanation:

Using sine ratio in left right angled triangle to find the altitude a of the large triangle which is common to both right triangles and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{7\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2a = 21 ( divide both sides by 2 )

a = [tex]\frac{21}{2}[/tex]

Using the cosine ratio in the right side triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{a}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x = [tex]\sqrt{2}[/tex] a = [tex]\sqrt{2}[/tex] × [tex]\frac{21}{2}[/tex] = [tex]\frac{21\sqrt{2} }{2}[/tex] → D


Related Questions

If ABC=DEF and MNO=PQR, then ABC=PQR by the transitive property.

○A. True
○B. False

Answers

Answer:

B. False

Step-by-step explanation:

There is not enough information to make that conclusion. The two statements are completely unrelated, so the transitive property cannot be used. None of the given statements say that ABC is congruent to MNO or PQR. That means that nothing can be assumed about DEF. To use the transitive property you would need proof that ABC=MNO or ABC=PQR. But neither of those statements are there so the answer is false.

Answer:

true

Step-by-step explanation:

a pe c

Please help immediately, this is urgent!!! If you see this please answer my question.

Answers

Answer:

It is the second option down

Step-by-step explanation:

Which statement about the function
true?
The graph of the function f(x) = 4(x + 3)(x - 1) is shown
below.
O The function is positive for all real values of x where
x < -1.
y
6
NA
The function is negative for all real values of x where
x <-3 and where x > 1.
O The function is positive for all real values of x where
x > 0.
O The function is negative for all real values of x where
X<-3 or x>-1.
2
-6
4
2.
4
6
х
-2
-2
4
6

Answers

I think the answer is B

The function is negative for all real values of x where x < -3 or x > -1 and the domain of the function is -∝ < x < ∝

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = - ( x + 3 ) ( x - 1 )   be equation (1)

Now , the values of x which makes the function negative are

when x < -3

f ( x ) = - ( -ve ) ( -ve ) = -ve

when x > 1

f ( x ) = - ( +ve ) ( +ve ) = -ve

So , the domain of the function is all real numbers and -∝ < x < ∝

Hence , the function is solved

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Mr. Fischer, a bilingual teacher, teaches a mathematics class composed of native English speakers and English language learners (ELLs). He has introduced a new topic with new vocabulary words in which he presented the vocabulary words with several examples. Which of the following strategies should Mr. Fischer use next to check each student's understanding of the vocabulary words?a. having students look up the definition online to see if it matches what Mr. Fischer told themb. having students copy down the definition for each word that Mr. Fischer wrote on the board in Englishc. placing students in groups so each student can explain the vocabulary terms to their peers in Englishd. having students write a definition for each term in their own words in their native language

Answers

Answer:

D. having students write a definition for each term in their own words in their native language

Step-by-step explanation:

In Mr Fischer's mathematics class, we are presented with two categories of learners. Those that are native speakers of English and those who are learners of English.

Both categories of students would show their understanding best in this lesson if they were to write in their own native language.

The native english-speakers would have no issues writing in English, but those who are English learners would have problems communicating their understanding of the lesson in English. So it is best they give their definitions in their native language.

Can someone help me with this math homework please!

Answers

Answer:

C

Step-by-step explanation:

y coordinates must be at the numerator, while x coordinates at the denominator

Let ƒ(x) = 5x2 – x + 1 and g(x) = –3x. Evaluate the composition (ƒ ∘ g)(1) .

Answers

Answer:

D

Step-by-step explanation:

We are given the two functions:

[tex]f(x) = 5x^2-x+1 \text{ and } g(x) = -3x[/tex]

And we want to find:

[tex](f \circ g)(1)[/tex]

Recall that this is equivalent to:

[tex]=f(g(1))[/tex]

Evaluate g(1):

[tex]g(1) = -3(1) = -3[/tex]

Substitute:

[tex]=f(-3)[/tex]

Evaluate f(-3):

[tex]f(-3)=5(-3)^2-(-3)+1=49[/tex]

Therefore:

[tex](f \circ g)(1) =49[/tex]

Our answer is D.

Answer:

49

Step-by-step explanation:

ƒ(x) = 5x2 – x + 1 and g(x) = –3x

(ƒ ∘ g)(1)

First find g(1) = -3(1) = -3

Then find f(g(1) = f(-3)

f(-3) = 5(-3)^2 - (-3) +1 = 5(9) +3+1 = 45+4 = 49

(edge) The linear function that is represented by which table has the same slope as the graph?

On a coordinate plane, a line goes through points (0, negative 3) and (2, 1).
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries negative 9, negative 7, negative 5, negative 3, negative 1.
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries 9, 7, 5, 3, 1.
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 9, negative 7, negative 5, negative 3, negative 1. Column 2 is labeled y with entries negative 25, negative 21, negative 17, negative 13, negative 9.
A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries negative 9, negative 13, negative 17, negative 21, negative 25.

Answers

Answer: is 3

Step-by-step explanation:

Very easy man !!!

Please hurry I will mark you brainliest

What is the slope of this?

Answers

Answer:

-3/2

Step-by-step explanation:

the slope of a line is expressed as ratio y/x showing how many units y changes, when x changes a certain number of units.

so, going from A to B, x changes 4 units (from -3 to +1), and y changes 6 units (down, from +3 to -3). that makes the y change negative.

so, the slope is

-6/4 = -3/2

-5(n²+9)=7.
Find n.

Answers

Answer:

Step-by-step explanation:

-5n^2-45=7--->-5n^2=52--->n^2=52÷(-5)= there is no answer for this question...I mean Paired power never has a negative answer.

HELPPPPP MEEEEE!!!!

Answers

Answer:

46°

Step-by-step explanation:

arcsin(5/7)

How to change the decimal 4.5 into a fraction

Answers

4.5

= 4.5/1

= 4.5/1.0

= 45/10 [Shifting the decimal to right]

= 9/2 [Reducing to the simplest form]

So, the answer is 9/2.

Help Please Now!!!
Find the volume of the rectangle prism

Answers

Answer:

V =48 cm^3

Step-by-step explanation:

The volume of a prism is given by

V = l*w*h

V = 3*4*4

V =48 cm^3

V =48 cm^3

Step-by-step explanation:

The volume of a prism is given by

V = l*w*h

V = 3*4*4

V =48 cm^3

Which set of ordered pairs does NOT represent a function?
{(0, 0), (1, 1), (2, 2), (3, 3)}
(0, 0), (0, 1), (1, 2), (1, 3)}
{(1,0), (2, 0), (3, 0), (4, 0)}
{(0, 1), (1, 2), (2, 3), (3, 4)}

Answers

Answer: (0, 0), (0, 1), (1, 2), (1, 3) does NOT represent a function

Step-by-step explanation:

to tell whether a set of ordered pairs are functions or not, all domains must have different ranges!

range: x-axis (0,0)

domain: y-axis (0,0)

pair 1:

all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs

pair 2:

all the ranges - 0, 0, 1, 1 - are NOT all different, which means it is NOT a set of ordered pairs

pair 3:

all the ranges - 1, 2, 3, 4 - are different, which means it IS a set of ordered pairs

pair 4:

all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs

let me know if you have any more questions or if i made any mistakes. hope this helped, and good luck! ˶ˆ꒳ˆ˵


In the graph, what does A represent?
major axis
vertices
minor axis
foci

Answers

Minor axis because major is Y

An ellipse is a plane curve that surrounds two focus points and has a constant sum of the two distances to the focal points at all places on the curve. In the graph, the A represents the minor axis of the ellipse.

What is the equation of ellipse if its major and minor axis and center are given?

Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with major ellipse parallel to x-axis, then the equation of that ellipse would be:

[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]

Coordinates of its foci would be: (h±c, k) where c² = a² - b²

If its major axis is parallel to y-axis, then,

coordinates of its foci would be:  (h, k±c) where c² = a² - b² and its equation would be:

[tex]\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1[/tex]

An ellipse is a plane curve that surrounds two focus points and has a constant sum of the two distances to the focal points at all places on the curve. Since an ellipse has two diameter, the major and the minor diameter. Therefore, in the graph, the A represents the minor axis of the ellipse.

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Find the factorization of the polynomal below 64x^2 + 48x + 9

Answers

Answer:

(8x + 3)²

Step-by-step explanation:

Since our polynomial is 64x² + 48x + 9, we multiply 64x² by 9 to get 64x² × 9 = 576x² since we cannot simplify the expression any further.

Next, we need to find the factors of 576x² that add up to give 48x, these are 24x and 24x.

So the expression is re-written as

64x² + 48x + 9 = 64x² + 24x + 24x + 9

Writing out all the common factors, we have,

64x² + 48x + 9 = 8x × 8x + 3 × 8x + 3 × 8x + 3 × 3

Factorizing we have

64x² + 48x + 9 = 8x(8x + 3) + 3(8x + 3)

64x² + 48x + 9 = (8x + 3)(8x + 3)

64x² + 48x + 9 = (8x + 3)²

Which point gives the y-intercept of ƒ(x) = –x2 + 4x – 3?

Answers

Answer:

A) (0,-3)

Step-by-step explanation:

to get the y-intercept let x = 0, then

y = 0 + 0 -3

y = -3

Answer:

(0,-3)

Step-by-step explanation:

The y intercept is where x=0

ƒ(x) = –x^2 + 4x – 3?

f(0) = -0^2 +4(0)-3

f(0) = -3

(0,-3)

Eric and Shiloh each have a savings account. The ratio of Eric’s account balance to Shiloh’s account balance is 4:3. Together they have a total of $140 in their accounts. Use the tape diagram below to help you determine the balance of Eric’s account. [Type your answer as a number.]

Answers

Answer:

Eric   80

Step-by-step explanation:

Take 4+3 = 7

140 /7 = 20

There is 20 in each block

Eric gets 4 of the blocks so 4*20 = 80

Shiloh gets 3 of the blocks 3*20 = 60

Answer:

80

Step-by-step explanation:

4 : 3

4x + 3x = 140

7x = 140

x =20

4*20 = eric's amount

= 80

{(2,-3),(3,-1),(2,3),(4,6),(6,6)}


Are the ordered pairs a function or not?

Answers

Answer:

Its a domain

Step-by-step explanation:

Domain:{2,3,4,6}

Please Help ASAP!!!! 60 points.

Answers

Answer:

An inverse variation give a harder one next time

Step-by-step explanation:

The linear equation passing through the point (2,-5) has a slope of 2 is

Answers

Answer:

y = 2x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (2, - 5) into the partial equation

- 5 = 4 + c ⇒ c = - 5 - 4 = - 9

y = 2x - 9 ← equation of line

One year josh had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at his​ school, with an ERA of 2.89. ​Also,alice had the lowest ERA of any female pitcher at the school with an ERA of 3.31 . For the​ males, the mean ERA was 5.083 and the standard deviation was 0.672. For the​ females, the mean ERA was 4.032 and the standard deviation was 0.649. Find their respective​ z-scores. Which player had the better year relative to their​ peers, josh or alice ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

Answers

Answer:

Josh's ERA had a z-score of -3.26.

Alice's ERA had a z-score of -1.11.

Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Josh:

ERA of 2.89, mean of 5.083, standard deviation of 0.672. So

[tex]X = 2.89, \mu = 5.083, \sigma = 0.672[/tex], and the z-score is:

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

[tex]Z = \frac{2.89 - 5.083}{0.672}[/tex]

[tex]Z =  -3.26[/tex]

Josh's ERA had a z-score of -3.26.

Alice:

ERA of 3.31, mean of 4.032, standard deviation of 0.649. So

[tex]X = 3.31, \mu = 4.032, \sigma = 0.649[/tex], and the z-score is:

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

[tex]Z = \frac{3.31 - 4.032}{0.649}[/tex]

[tex]Z =  -1.11[/tex]

Alice's ERA had a z-score of -1.11.

Which player had the better year relative to their​ peers, josh or alice ?

Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.

5. Find the measures of the following. Round to the nearest whole number. (2 points)
a. HT
H
b. 2T
15 cm
C. ZH
W
8 cm
T

Answers

Answer:

HT = 17 cm

<T = 58°

<H = 32°

Step-by-step explanation:

✔️Find HT:

Since it's a right triangle, we would apply the Pythagorean Theorem given as c² = a² + b²

Where,

a = HW = 15 cm

b = WT = 8 cm

c = HT

Plug in the values:

HT² = 15² + 8²

HT² = 289

HT = √289

HT = 17 cm

✔️Find <T by applying trigonometric ratio formula:

Recall: SOH CAH TOA

Reference angle (θ) = <T

HW = 15 cm = Opposite side length

WT = 8 cm = Adjacent side length

Apply CAH:

Cos θ = Adj/Hyp

Substitute

Cos T = 8/15

T = [tex] cos^{-1}(0.5333) [/tex]

T ≈ 58°

✔️Find <H:

Sun of interior angles of a triangle = 180°

Therefore,

m<H + m<T + m<W = 180°

Substitute

m<H + 58° + 90° = 180°

m<H + 148° = 180°

m<H = 180° - 148°

m<H = 32°

Which of these figures has rational symmetry?

Answers

Answer:

a is the answer parallelogram is a rotational symmetry

A would be the answer rational symmetry means it can be rotated by an angle of 0 and 360 degrees and be the same :)

Solve the system by substitution
y= 5x− 22
y= 4x− 17

Answers

Answer:

x=5, y=3

Step-by-step explanation:

can i get some help? i tried figuring it out myself already but i must have done something wrong. please help!

Answers

First, we'll set up two equations. One for the amount of each coin and another for the value of the coins.

N will represent nickels

D will represent dimes

N + D = 30

---The problem tells us that there are 30 total coins

0.05N + 0.10D = 2.95

---Nickels are worth 5 cents and dimes are worth 10 cents, and the total value of the coins is 2.95

Now that we have our equations, we need to solve for one of the variables in the first equation. I will solve for N.

N + D = 30

N = 30 - D

Then, we take that equation and substitute our new value for N into the second equation (value) and solve for D.

0.05(30 - D) + 0.10D = 2.95

1.5 - 0.05D + 0.10D = 2.95

1.5 + 0.05D = 2.95

0.05D = 1.45

D = 29

Now that we know how many dimes there are, we can plug that value into our equation for N and solve for N.

N = 30 - D

N = 30 - 29

N = 1

Therefore, there are 29 dimes and 1 nickel.

Hope this helps!

The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?

Answers

Answer:

Yes it can

Step-by-step explanation:

To check wether it's a right angle triangle we need to apply the Pythagoras theorem

h^2= a^2 +b^2

Hypotenuse is always the longest side so

5^2 = 3^2 + 4^2

This is correct, so the triangle is a right angle triangle

Answer from Gauthmath

4|x+3|<8 i need help asap

Answers

Answer:

-5 <x<-1

Step-by-step explanation:

4|x+3|<8

Divide by 4

4|x+3| /4<8/4

|x+3|<2

There are two solutions one positive and one negative, remember to flip the inequality for the negative

x+3 <2    and x+3 >-2

Subtract 3 from each side

x+3-3 <2-3   and x+3-3 >-2-3

x<-1   and x>-5

-5 <x<-1

solve the equation 4+2|3x+4|=-4

“Absolute Value Equations and Inequalities”
the solutions are what?

please give an explanation if possible!

Answers

Answer:

Value of given expression x is -4

Step-by-step explanation:

Given equation in question;

4 + 2|3x + 4| = -4

Find:

Value of given expression

Computation:

4 + 2|3x + 4| = -4

Using BODMAS rule;

⇒ 4 + 2|3x + 4| = -4

⇒ 2|3x + 4| = - 4 - 4

⇒ 2|3x + 4| = - 8

⇒ |3x + 4| = - 8 / 2

⇒ |3x + 4| = - 4

⇒ 3x + 4 = - 8

⇒ 3x = -8 - 4

⇒ 3x = -12

⇒ x = -12 / 3

⇒ x = -4

Value of given expression x is -4

Can someone help me with this math homework please!

Answers

In case of Nina:

slope of graph = speed = 48-32/6-4 = 16/2 =8

y-32 =8(x-4)

y-32=8x-32

y=8x

d=8t

at x= 0 i.e at t= 0

d= 0m

In case of Ryan:

slope =speed = 47.5-35=6-4 = 12.5/2 =6.25

y-35=6.25(x-4)

y-35=6.25x-25

y=6.25x+10

d=6.25t+10

at t = 0, d= 10m

RYAN had a head start of 10 m

Please read below. Thank you.

Answers

Answer:

The equation of the circle is given by:

(x-a)^2+(y-b)^2=r^2

where:

(a,b) is the center  of the circle

given that the center of our circle is (2,3) with the radius of 5, the equation will be:

(x+2)^2+(y+3)^2=5^2

expanding the above we get:

x^2+4x+4+y^2+6y+9=25

this can be simplified to be:

x^2+4x+y^2+6y=25-13

x^2+y^2+4x+6y=12

Answer:

[tex]\sf\longrightarrow \boxed{\sf x^2+y^2-4x-6y-12=0}[/tex]

Step-by-step explanation:

Here we are given the radius of circle as 5cm and the centre of the circle is (2,3) . We need to find the equation of the circle. Here we can yse the Standard equation of circle to find the equation .

Standard equation of circle :-

[tex]\sf\implies \green{ (x - h )^2+(y-k)^2 = r^2 }[/tex]

where (h,k) is the centre and r is radius .

Substitute the respective values ,

[tex]\sf\longrightarrow ( x - 2 )^2 + ( y - 3)^2 = 5^2 [/tex]

Simplify the whole square ,

[tex]\sf\longrightarrow x^2 + 4 -4x + y^2+9-6y = 25[/tex]

Rearrange and add the constants ,

[tex]\sf\longrightarrow x^2 + y^2 -4x -6y +13 = 25 [/tex]

Subtract 25 on both sides ,

[tex]\sf\longrightarrow x^2 +y^2-4x-6y+13-25=0[/tex]

Simplify ,

[tex]\sf\longrightarrow \boxed{\blue{\sf x^2+y^2-4x-6y-12=0}}[/tex]

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