how do i solve this ?

How Do I Solve This ?

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

The given triangle is a (30 - 60 - 90) triangle (this refers to the angle measurements). One property of a (30 - 60 - 90) triangle is that its side follows the following ratio,

[tex]x:x\sqrt{3}:2x[/tex]

Where the side opposite the (30) degree angle measures (x), the side opposite the (60) degree angle measures ([tex]x\sqrt{3}[/tex]) and the side opposite the (90) degree angle measures (2x).

One can use this ratio in the given triangle. Since it is given that the side opposite the (90) degree angle measures (4), and the side opposite the (30) degree angle measures (x), one can form an equation and solve for the unknown,

(2x) = (4)

Inverse operations,

x = 2


Related Questions

Plz help me solve this algebra problem

Answers

Answer:

Exact Form:

x = 2 √ 2 − 1 3 , − 2 √ 2 − 1 3

Decimal Form:

x = 2.49509379 , − 3.16176045

Step-by-step explanation:

Simplify the decimals as needed

WILL GIVE BRAINLIST! PUT THESE NUMBERS ON THE PLOT

Answers

I wasn’t sure if I should include all the numbers if they were doubles but you get the idea. Hope this helps!

Answer:

"fair" srry im only in 8th so im d.u.m

Step-by-step explanation:

Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle?


A)

A cut parallel to the vertical axis, but off the vertical axis

B)

A cross section cut parallel with the bottom

C)

A cut parallel to the vertical axis, directly through the vertical axis

D)

Cutting off one of the bottom corners

Answers

Answer:

A

Step-by-step explanation:

I need help anyone please

Answers

Answer:

Base: 7

Height:10

BH divided by two so

7 times 10 = 70 divided by two 35

Base: 7 yd

Height: 10 yd

Area: 35 square yd

         ([tex]A=\frac{h_{b}b }{2}[/tex] = [tex]\frac{10*7}{2}[/tex] = 35)

hope this helps....

Simplify (-k)^0
Help! Thank you. (:

Answers

Answer:

I think 1 is the correct answer

Each sample of water has a 30% chance of containing a particular organic pollutant. Assume that the samples are independent with regard to the presence of the pollutant. Find the probability that, in the next 10 samples, two or less contain the pollutant. (Hint: using the tables in Appendix A will be faster than doing it by hand!)
a) 0.678
b) 0.028
c) 0.041
d) 0.383

Answers

Answer:

d) 0.383

Step-by-step explanation:

For each sample, there are only two possible outcomes. Either they contain the pollutant, or they do not. The probability of a sample containing the pollutant is independent of any other sample. Thus, the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

30% chance of containing a particular organic pollutant.

This means that [tex]p = 0.3[/tex]

Next 10 samples

This means that [tex]n = 10[/tex]

Probability that two or less contain the pollutant.

This is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{10,0}.(0.3)^{0}.(0.7)^{10} = 0.028[/tex]

[tex]P(X = 1) = C_{10,1}.(0.3)^{1}.(0.7)^{9} = 0.121[/tex]

[tex]P(X = 2) = C_{10,2}.(0.3)^{2}.(0.7)^{8} = 0.233[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.028 + 0.121 + 0.233 = 0.382[/tex]

A little rounding difference, but the correct answer is given by option d.

Two circles are concentric if they have the same center.


On a coordinate plane, a circle has center (4, 6) and has a radius of 2 units.


Which equation represents a circle that is concentric with the circle shown but has a radius that is twice as large?

Answers

9514 1404 393

Answer:

  (b)  (x – 4)^2 + (y – 6)^2 = 16

Step-by-step explanation:

The equation for a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

You want the equation for a circle with center (4, 6) and radius 4. That equation is ...

  (x -4)^2 +(y -6)^2 = 16

Answer:

B; (x – 4)2 + (y – 6)2 = 16

Step-by-step explanation:

correct on edge

I need help solving for x

Answers

Answer:

x = 25

Step-by-step explanation:

Given a line parallel to a side of the triangle and intersecting the other 2 sides then it divides those sides proportionally, that is

[tex]\frac{40}{24}[/tex] = [tex]\frac{x}{15}[/tex] ( cross- multiply )

24x = 600 ( divide both sides by 24 )

x = 25

The correct answer to your question is X=25

Find the measure of each angle listed below. Enter only numbers without space.
(1) ∠PTQ
(2) ∠QTR
(3) ∠PTS

Answers

9514 1404 393

Answer:

∠PTQ = 45°∠QTR = 15°∠PTS = 120°

Step-by-step explanation:

Parallelogram PTSR is divided into two equilateral triangles by diagonal RT. All of the acute angles in that quadrilateral are 60°, and the obtuse angles are 120° (2×60° and also the supplement of 60°).

Triangle PTQ is an isosceles right triangle, so its acute angles are 45°.

  ∠PTQ = 45°

  ∠QTR = ∠PTR -∠PTQ = 60° -45°

  ∠QTR = 15°

  ∠PTS = 120° . . . . . . obtuse angle in PTSR; sum of ∠PTR and ∠RTS

Select the correct answer.
The y-Intercept of the parent quartic function, f(x) = 24
is translated 3 units to the right and 1 unit down. Which equation represents this
transformation?
OA. g() = (x – 3)4 - 1
OB. g(t) = (x + 3)4 - 1
OC. g(t) = (x - 1)* + 3
OD. g() = (x + 1)4 + 3

Answers

Using translation concepts, it is found that the equation that represents this transformation is given by:

A. [tex]g(x) = (x - 3)^4 - 1[/tex]

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is given by:

[tex]f(x) = x^4[/tex].

Then:

The function is shifted 3 units right, hence x -> x - 3.The function is shifted 1 unit down, hence f(x) -> f(x) - 1.

Hence, the equation that represents the transformation is given by:

[tex]g(x) = (x - 3)^4 - 1[/tex]

Which means that option A is correct.

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

What is the probability of tossing a penny and landing on heads 3 times in a row

Answers

Answer:

Suppose you have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. Suppose you flip it three times and these flips are independent. What is the probability that it lands heads up, then tails up, then heads up? So the answer is 1/8, or 12.5%.

ABC is an isosceles triangle in which AC =BC.
D and E are points on BC and AC such that CE=CD.
prove triangle ACD and BCE are congruent​

Answers

Given:

ABC is an isosceles triangle in which AC =BC.

D and E are points on BC and AC such that CE=CD.

To prove:

Triangle ACD and BCE are congruent​.

Solution:

In triangle ACD and BCE,

[tex]AC=BC[/tex]                  (Given)

[tex]AC\cong BC[/tex]

[tex]\angle C\cong m\angle C[/tex]                  (Common angle)

[tex]CD=CE[/tex]                  (Given)

[tex]CD\cong CE[/tex]

In triangles ACD and BCE two corresponding sides and one included angle are congruent. So, the triangles are congruent by SAS congruence postulate.

[tex]\Delta ACD\cong \Delta BCE[/tex]           (SAS congruence postulate)

Hence proved.

Answer:

Given ABC is an isosceles triangle with AB=AC .D and E are the point on BC such that BE=CD

Given AB=AC

∴∠ABD=∠ACE (opposite angle of sides of a triangle ) ....(1)

Given BE=CD

Then BE−DE=CD−DE

ORBC=CE......................................(2)

In ΔABD and ΔACE

∠ABD=∠ACE ( From 1)

BC=CE (from 2)

AB=AC ( GIven)

∴ΔABD≅ΔACE

So AD=AE [henceproved]

Please help!!! Urgent ….

Answers

9514 1404 393

Answer:

  ΔWZT ~ ΔWXY

Step-by-step explanation:

Angle XWY and angle ZWT are vertical angles, so congruent.

The sides on either side of those angles are proportional:

  WZ/WX = WT/WY

  11/22 = 10/20 = 1/2

so, we can claim similarity by the SAS Theorem.

  ΔWZT ~ ΔWXY

Anybody mind giving me the answer? Im struggling to get it rn

Answers

Answer:

nnn bjbjjjjjnn

Step-by-step explanation:

Answer:

c. 108

Step-by-step explanation:

do 12×12 and get 144 then do 6×6 to get 36 then do 144-36 and you get 108. hope this helps mate.

When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV^1.4 = C, where C is a constant. Suppose that at a certain instant the volume is 400 cm^3 and the pressure is 80 kPa and is decreasing at a rate of 10 kPa/min. At what rate is the volume increasing at this instant?

Answers

Answer:

The volume increases at 35.71cm^3/min

Step-by-step explanation:

Given

[tex]PV^{1.4} = C[/tex]

[tex]V = 400cm^3[/tex]

[tex]P =80kPa[/tex]

[tex]\frac{dP}{dt} =-10kPa/min[/tex]

Required

Rate at which volume increases

[tex]PV^{1.4} = C[/tex]       [tex]V = 400cm^3[/tex]       [tex]P =80kPa[/tex]

Differentiate: [tex]PV^{1.4} = C[/tex]  

[tex]P*\frac{dV^{1.4}}{dt} +V^{1.4}*\frac{dP}{dt} = \frac{d}{dt}C[/tex]

By differentiating C, we have:

[tex]P*\frac{dV^{1.4}}{dt} +V^{1.4}*\frac{dP}{dt} = 0[/tex]

Rewrite as:

[tex]P*(1.4)*V^{0.4}* \frac{dV}{dt} + V^{1.4}*\frac{dP}{dt} = 0[/tex]

Solve for [tex]\frac{dV}{dt}[/tex]

[tex]P*(1.4)*V^{0.4}* \frac{dV}{dt} =- V^{1.4}*\frac{dP}{dt}[/tex]

[tex]\frac{dV}{dt} =- \frac{V^{1.4}*\frac{dP}{dt} }{P*(1.4)*V^{0.4}}[/tex]

Substitute values

[tex]\frac{dV}{dt} =- \frac{400^{1.4}*-10 }{80*(1.4)*400^{0.4}}[/tex]

[tex]\frac{dV}{dt} =\frac{400*10 }{80*1.4}[/tex]

[tex]\frac{dV}{dt} =\frac{4000 }{112}[/tex]

[tex]\frac{dV}{dt} =35.71cm^3/min[/tex]

how many matches are needed to form figure number 9 and 17? explain​

Answers

Answer:

Please find the complete question in the attached file.

Step-by-step explanation:

For point 1:

At this point we make up triangles for the first one makes up by 3 matches figure 2 make up by 5 matches figure 3 makes up by 7 matches.

For point 2:

 [tex]4 \ \ 5\ \ 6\ \ 7\ \ 8[/tex]  you can try to  

[tex]9 \ \ 11\ \ 13 \ \ 15 \ \ 17[/tex] draw to find  values  

For point 3:

number of matches[tex]= 1+2 \times \ figure\ number\\\\[/tex]

For point 4:

[tex]1+2 \times 9=19 \ \ (use \ law \ of\ (iii)) \\\\1+2 \times 17=35[/tex]

Identify the relationship between the graphs of these two equations. y = 5/6x + 5 y = 5/6x - 1

parallel
perpendicular
neither ​

Answers

Answer:

parallel

Step-by-step explanation:

the slope of each line is 5/6 which means the lines are parallel

In ΔTUV, t = 7 inches, u = 9.4 inches and ∠V=18°. Find the area of ΔTUV, to the nearest 10th of a square inch.

Answers

Answer:

10 square inches

Step-by-step explanation:

that is the procedure above

Answer:

Area=10.167=10.2

Step-by-step explanation:

Area=1/2ab sin c

area= 1/2(7)(9.4)sin18

area = 10.167=10.2

this is for delta math

ON
16
aset
3rd
test
MATHEMATICS
Direction : Assemor all question, Tome and Shoul Work
1) A) use the newerberline (6) to find the finishing points for
these infegers
a)- 5110​

Answers

Answer:

what????????????????????

What is the 8th term of a(n)=6•3^(n-1)

Answers

Answer:

13122

Step-by-step explanation:

a(n) = 6 * 3^(n -1)

a(8) = 6* 3^7

3^7 = 2187

a(8) =6 * 2187

a(8) = 13122

Which choice shows (40+10)+30 correctly rewritten using the associative property and then correctly simplified?

40 + (10 + 30) = 40 + 40 = 80

40 + 30 + 10 = 70 + 10 = 80

40 + (10 +30) = 50 + 30 =80

(10 +40) + 30 = 50 + 30 =80

Answers

the last one, d, is the correct answer

Help me please hurry!!

Answers

Answer:

answer is 36 centimeter

Step-by-step explanation:

volume of a cylinder=πr^2h

1696=3.14*r^2*15

1696=47.1=r^2

1696-47.1=r^2

1648.9=r^2

[tex]\sqrt{1648.9}[/tex] =r

40.60 =r

here according to the question and option given 40.60 is closest to 36 centimeters.so answer is option d.

The owner of a football team claims that the average attendance at games is over 74,900, and he is therefore justified in moving the team to a city with a larger stadium. An independent investigator will conduct a hypothesis test to determine whether his claim is accurate. This test is ________. Group of answer choices Two-sided Lower-tailed Upper-tailed

Answers

Answer:

Option c (Upper tailed) is the correct choice.

Step-by-step explanation:

Given that:

The average attendance is:

= 74,900

We will have to test:

[tex]H_0:\mu \leq \mu_0[/tex]

or,

   [tex]H_0: \mu \leq 74,900[/tex]

Verses,

⇒ [tex]H_1: \mu> \mu_0[/tex]

or,

    [tex]H_1: \mu >74,900[/tex]

The other given alternatives aren't connected to the given scenario. So the above is the correct one.

On a coordinate plane, a trapezoid has points H prime (negative 3, negative 2), J prime (negative 2, negative 3), K prime (negative 3, negative 4), G prime (negative 5, negative 2).
Trapezoid GHJK was rotated 180° about the origin to determine the location of G'H'J'K', as shown on the graph. What are the coordinates of pre-image point H?

(2, 3)
(–2, 3)
(3, 2)
(3, –2)On a coordinate plane, a trapezoid has points H prime (negative 3, negative 2), J prime (negative 2, negative 3), K prime (negative 3, negative 4), G prime (negative 5, negative 2).
Trapezoid GHJK was rotated 180° about the origin to determine the location of G'H'J'K', as shown on the graph. What are the coordinates of pre-image point H?

(2, 3)
(–2, 3)
(3, 2)
(3, –2)

Answers

Answer:

the coordinates of pre - image point H is (3,2)

Answer:

c time for learning

Step-by-step explanation:

Select the correct answer. Simplify. V75 options: A. 3v5 B. 15v5 C. 25v3 D. 5v3

Answers

3v5 because yea hope this helps

Write the following expression in standard place-value form.

Answers

Answer:

3408

Step-by-step explanation:

What should my answer be?

Answers

The answer should be X>10
The answer is X>10 :)

What is the equation of the line that passes through (-3,-1) and has a slope of
2/5. Put your answer in slope intercept

Answers

Answer:

y = 2/5x + 1/5

Step-by-step explanation:

First, plug in the slope.

y = mx+b

y = 2/5x + b

Then, plug in the point given, in order to find b.

-1 = 2/5(-3) + b

-1 = -6/5 + b

1/5 = b

So the final equation is:

y = 2/5x + 1/5

describe the transformation of the equation below from the parent function of y=|x| y=|x-4| left 4, right 4, up 4, down4

Answers

Answer:

The transformation is right 4

Step-by-step explanation:

Since the transformation occurred inside the absolute value function, this means there will be a horizontal shift. Therefore, the transformation is right 4.

Observe the graph to view the transformation.

Please answer the question in order please.

Answers

Answer:

Step-by-step explanation:

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