1) complete the special right triangle
what is length of BD
what is length of BC

1) Complete The Special Right Trianglewhat Is Length Of BDwhat Is Length Of BC

Answers

Answer 1

Answer:

[tex]BD = 4[/tex]

[tex]BC =4\sqrt 3[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find BD and BC

Solving BD

Considering angle at D, we have:

[tex]\cos(D) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(60) = \frac{BD}{8}[/tex]

Solve for BD

[tex]BD = 8 * \cos(60)[/tex]

[tex]\cos(60) = 0.5[/tex] So:

[tex]BD = 8 * 0.5[/tex]

[tex]BD = 4[/tex]

To solve for BC, we make use of Pythagoras theorem

[tex]CD^2 = BC^2 + BD^2[/tex]

This gives

[tex]8^2 = BC^2 + 4^2[/tex]

[tex]64 = BC^2 + 16[/tex]

Collect like terms

[tex]BC^2 =64-16[/tex]

[tex]BC^2 =48[/tex]

Take square roots

[tex]BC =\sqrt{48[/tex]

Expand

[tex]BC =\sqrt{16*3[/tex]

Split

[tex]BC =\sqrt{16}*\sqrt 3[/tex]

[tex]BC =4\sqrt 3[/tex]


Related Questions

Identify each triangle based on angles. (Acute, Obtuse or Right)please I don’t understand this

Answers

Answer:

45

Step-by-step explanation:

Answer:

2. right

3.obtuse

hope this helps

have a good day :)

Step-by-step explanation:

PLEASE HELP ASAP!!!!

Answers

Answer:

yes the answer is 456

Step-by-step explanation:

3. Minimize P = 3x – 25y + 38 given the following constraints: y+ -44 144 - 98 < 70 12y - 6x > -36 > -6 The minimum is: at (​

Answers

Answer:

-118 at (-2, 6)

Step-by-step explanation:

See the attached image of the graph!  I used a piece of graph paper (and a ruler!) at first, because the graphing program I used was hard to follow in all the shading!  The "feasible region" -- I'm assuming this is a linear programming problem is inside an irregular hexagon.  I put big red dots on the corner points.  Those points are:

(2, 2), (-2, 6), (-6, 4), (-6, -1), (-2, -4), (2, -2)

Plug these coordinates into the expression P = 3x - 25y + 38  to get a value at each of the corner points.  Pick out the smallest value.

See the other attached image for those values.

Careful graphing is essential!

a serving of crackers has 1.5 grams of fat. How many grams of fat are in 3.75 servings

Answers

Answer:

5.625

Step-by-step explanation:

You just have to multiply 1.5 by 3.75 which is 5.625.

So there are 5.625 grams of fat in 3.75 servings.

5.625 grams of fat are in 3.75 servings.

You just have to multiply 1.5 by 3.75 which is 5.625.

So there are 5.625 grams of fat in 3.75 servings.

What is a Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

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A and B are independent events. P(A) = 0.50 and P(B) = 0.30. What is
PA and B)?

Answers

Answer:

0.15

Step-by-step explanation:

the image shown at the right contains many triangles describe the different types of triangles found in the image. PLS HELP​

Answers

Answer:

Step-by-step explanation:

*There is an acute isosceles (don't know if I am spelling any of these correct)

*Right Scalene

*right isosceles

*equilateral

Those are some of the ones that I found

Oklahoma thank you thank goodness thank you thank

Find the value for a,b,c,d

Answers

9514 1404 393

Answer:

  B.  a = 10√3, b = 5√3,  c = 15, d = 5

Step-by-step explanation:

When you examine the angles of these triangles, you see that all of the triangles are 30°-60°-90° triangles, so ratios of corresponding sides are the same.

Examining the answer choices, you see that all of them agree that ...

  a = 10√3, c = 15

Since b is the long leg of the smallest triangle, you know that b > d. This is only the case in answer choices B and D.

The leg marked 'a' is the long leg of the largest triangle, whose short leg is 10. That is the ratio of the longer to shorter legs is 10√3 : 10 = √3 : 1. The ratio of 'b' to 'd' needs to be the same, matching only answer choice B.

__

The ratios of the sides of a 30-60-90 triangle are 1 : √3 : 2. This tells you that ...

  d = 10/2 = 5

  c+d = 10×2 = 20   ⇒   c = 20 -5 = 15

  b = 5√3

  a = 10√3

As a check, c = b×√3 = (5√3)(√3) = 5·3 = 15. (matches above)

Jeremy is randomly selecting an outfit to celebrate Probability Day at his school. He can choose from a green (G) or purple (P) shirt, denim (D) or khaki (K) pants, argyle (A) or crew (C) socks, and boots (B), sneakers (S). What is the probability that Jeremy will select an outfit that includes flip-flops (F) and argyle (A) socks?​

Answers

C socks, and boots.
Because it could be cold outside?

Answer all 4 for a nice brainliest

Answers

A. 24-9+3\3+3
24-9+1+3
15+1+3
16 + 3
19
A is 19


B. 2 x (2^4 -3^2) -4 /2
2 x 16 - 9 -4 /2
2 x 16 -9-2
32-9-2
23-2
21
B Is 21


C. 6/3 +10
2+10
12
C is 12


D.
9 x 5
Over
3 x 3
45/9
5
D is 5
Hope that helped

Area of triangle with sides a=8, b= 10, c=7

Answers

Answer:

d equal 10 this is the answer

Do you have a picture. In order to calculate the area we could use the Area of a Triangle Formula of Heron’s Formula.

The area of a triangle is 12 square units. The base of the triangle is 4 units. What is the height of the triangle in units?

Answers

Answer:

6 =h

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

12 = 1/2 (4) h

12 =2h

Divide each side by 2

12/2 = 2h/2

6 =h

2w+22=-6(w+7) what is the answer for w

Answers

Answer:

w=-8

Step-by-step explanation:

2w+22=-6(w+7)

2w+22=-6w-42

8w+22=-42

8w=-64

w=-8

Therefore, w=-8

Answer:

w = -8

Step-by-step explanation:

2w+22=-6(w+7)

2w+22 = -6w - 42

8w +22 = -42

8w = -64

w= -64/8

w = -8

If g(x) = 2 - 5x, what is the value of g(2) - g(5)?

Answers

Answer:

15

Step-by-step explanation:

the steps are in the pic above

A man buys a marker at Rs. 40 and sells it at Rs. 50. What is the profit percentage?​

Answers

Answer:

may be 10%

hope it helps uh

A certain television station has been providing live coverage of a particularly sensational criminal trial. The station's program director wishes to know whether more than half the potential viewers prefer a return to regular daytime programming. A survey of randomly selected viewers is conducted. Let p represent the proportion of all viewers who prefer regular daytime programming. What hypotheses should the program director test to answer the question of interest

Answers

Answer:

H0 : p = 0.5

H1 : p > 0.5

Step-by-step explanation:

The the claim to test and determine if a signifant evidence for is if more than half of viewers want a return to original day time program. Since, this is

Since, p is the proportion who prefer the regular day time program;

The hypothesis to test is :

If p > 0.5 `; this represents the alternative hypothesis which we want to check if it we have significant evidence to adopt the claim.

The Null value on the other hand will take the a proportion equal to the p: and it is the initial truth until the alternative has a strong evidence to reject the null.

The null ;

H0 : μ = 0.5

Evaluate what’s in the picture.

Answers

Answer:

8P3 = 336

9C4 = 126

Step-by-step explanation:

8P3 = 8! ÷ 5!  =  8x7x6 = 336

9C4 = 9! ÷ (5!·4!)  =  (9x8x7x6) ÷ (4x3x2) = 126

Jon places $6,500 in his bank account that grows at a rate of 3% per year.

Write a function (equation) that models this relationship. (2 points).

The function (equation) that models this relationship is

Answers

Answer:

Step-by-step explanation:

When interest compounds once per year, the formula for this is

[tex]A(t)=P(1+r)^t[/tex] where P is the initial investment, r is the interest rate at which it grows, and t is the time in years. Therefore, our model is

[tex]A(t)=6500(1+.03)^t[/tex] or simplified a bit:

[tex]A(t)=6500(1.03)^t[/tex]

Factorise fully 12x + 18y

Answers

Answer:

6(2x + 3y)

Step-by-step explanation:

6 is the largest greatest common factor you can take out. As all powers are 1, nothing else can be done.

The factorize form of the expression  12x + 18y is 6(2x+3y)

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is  12x + 18y

Twelve times of x plus eighteen times of y

x and y are the variables in the expression

Let us factorize the expression

The Gcd of 12 and 18 is 6

So take 6 as common from the expression

6(2x+3y)

Hence, the factorize form of the expression  12x + 18y is 6(2x+3y)

To learn more on Expressions click:

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Can someone help me?

Answers

Answer:

Second one: (1,2) (2,4) (3,6)

Step-by-step explanation:

y = 2x

2 = 1(2)

4 = 2(2)

6 = 2(3)

Answer:

(1,2),(2,4),(3,6)

Step-by-step explanation:

y = 2x

y = 2(1)

y = 2

y = 2x

y = 2(3)

y = 6

y = 2x

y = 2(2)

y = 4

x axis and y axis of each coordinate match with equation

PLEASEEEE HELPPPPPPP

Answers

Answer:

the scale factor of RSTU to R'S'T'U' is 1/3

Step-by-step explanation:

look at the graph and count how many squares are needed for the line RS (3) and how many for the line R'S' (9).

this is 1:3 or 1/3

all other sides follow the same ratio.

the point P is diagonally one square down from S and 3 squares down from S'.

Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (4, 0), (4, 14); endpoints of the minor axis: (1, 7), (7, 7)

Answers

Answer:

The standard form of the ellipse is [tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex].

Step-by-step explanation:

The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:

[tex](h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)[/tex] (1)

If we know that [tex]V_{1} (x,y) = (4,0)[/tex] and [tex]V_{2}(x,y) = (4, 14)[/tex], then the coordinates of the center are, respectively:

[tex](h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)[/tex]

[tex](h,k) = (2,0) + (2, 7)[/tex]

[tex](h, k) = (4, 7)[/tex]

The length of each semiaxis is, respectively:

[tex]a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}[/tex]

[tex]a = 3[/tex]

[tex]b = \sqrt{(4-4)^{2}+(0-7)^{2}}[/tex]

[tex]b = 7[/tex]

The standard equation of the ellipse is described by the following formula:

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

Where:

[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the ellipse.

[tex]a[/tex], [tex]b[/tex] - Length of the orthogonal semiaxes.

If we know that [tex]h = 4[/tex], [tex]k = 7[/tex], [tex]a = 3[/tex] and [tex]b = 7[/tex], then the standard form of the ellipse is:

[tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex]

Write the Plural! Spanish, help!!

Answers

Las mujeres son altas
Los examenes no son dificiles
Las chicas son inteligentes
Los son altos
Los señores son jovenes

Find the median of the following numbers. 15, 28, 44, 42, 32, 48

Answers

Answer:37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

First, sort the data in increasing order.

15, 28, 32, 42, 44, 48

The number of data is even (there are 6 numbers), so there isn't one in the middle.  In that situation, you average the middle 2 data (32 and 42).

(32 + 42)/2 = 74/2 = 37

If there IS a middle numbe, just use it.

I need help doing my homework ​

Answers

Answer:

A= πr^2

45=πr^2

45/1 =22/7×r^2

45/1=22r^2/7 cross multiply

22r^2 ×1=45×7

22r^2=315 divide both sides by 22

22r^2/22=315/22

r^2=14.318

31 more than a number is 12

Answers

Answer:

-19.

Step-by-step explanation:

-19+31 gets you 12.

-19 the answer is I took the quiz

Name:
Date:
TRIGONOMETRIC IDENTITIES - DAY #1
ALGEBRA 2 WITH TRIGONOMETRY - HOMEWORK

Answers

Answer:

4567,4678..............

When 0.3(4x-8)-0.5(-2.4x+4) is simplified. What is the resulting expression?

Answers

Answer:

2.4x-4.4

Step-by-step explanation:

0.3(4x-8)-0.5(-2.4x+4)

DISTRIBUTE: 1.2x-2.4+1.2x-2

COMBINE LIKE TERMS: 2.4x-4.4

your answer is: 2.4x-4.4

which is equivalent to this equation

Answers

Answer:

The correct option is (b).

Step-by-step explanation:

We need to find the value of the given expression i.e.

3⁷ × 3⁻⁴

We know that, one of the property of exponent is:

[tex]x^{-a}=\dfrac{1}{a}[/tex]

So,

[tex]3^7\times 3^{-4}=3^7\times \dfrac{1}{3^4}\\\\=3^3\\\\=27[/tex]

Hence, the correct option is (b).

help needed with math​

Answers

Answer:

angle y = 49°

Step-by-step explanation:

If AB = AD and BC = DC, then the two triangles are isosceles triangles. The altitude from the top to the base divides the top angle into two equal angles, with 90° angles at the base. If angle C is divided into two equal angles (41°) and at the base is a 90° angle, that makes angle CBD 49°. On an isosceles triangle, the two angles opposite to the equal sides are identical. So angle y is identical to angle CBD.

Y=49 degree angle! Because I when you do the math you get that

What is the differential means?​

Answers

Comprises multiple related meanings of the word both in calculus and differential geometry, such as infinitesimal change the value of a function

Answer:

Diffrence is the mean of differential

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