Write each fraction as a decimal. Use bar notation if necessary.
1. 8/9 2. -2/5. 3. 7/11

Answer:

Step-by-step explanation:

Find the slope of the line AB.

The slope:

Since the altitude is perpendicular to AB, it has a slope of -2.

The line with the slope of -2 and passes through point C(6, 16).

Use point-slope equation to find the line:

A = 2, B = 1, C = 28

Answer:

Solution given:

A(7,9)

B(11,11)

C(6,16)

Slope of AB=[tex]\frac{11-9}{11-7}=\frac{2}{4}=½[/tex]

since altitude is perpendicular to it .

so its slope becomes negative reciprocal to the slope of base

so

slope of altitude(m) =-2

now

equation of a line passing through C(6,16) perpendicular to its base is:

By using formula

[tex]y-y_{1}=m(x-x_{1})[/tex]

y-16=-2(x-6)

solve it

y-16=-2x+12

y+2x=12+16

in the form of Ax +By=C is:

2x+y=28

:.

B=1

C=28

Answer:

D

Step-by-step explanation:

I really think the answer is D

Step-by-step explanation:

the missing side is the adjacent side of the angle 66..which also has an opposite side of 19, therefore you use tan

tan66=19/x

tan66x/tan66=19/tan66

x=8.5

I hope this helps

Measure of base of the triangle, value of x is 8.46 unit.

Trigonometric ratios can be calculated by taking the ratio of any two sides of a right triangle. Given the scale of the other two sides, we can evaluate the third side using the Pythagorean theorem. We can compare the length of any two sides and the angle of the base using trigonometric ratio. The angle θ is an acute angle (θ < 90°) and  is usually measured counterclockwise with respect to the positive x-axis. The basic formula for trigonometric ratios is:

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ = Base/Perpendicular

Given,

In right triangle,

Base of the triangle is x

Measure of angle = 66°

Perpendicular = 19 unit

tanθ = Perpendicular/base

tan66° = 19/x

2.246 = 19/x

x = 19/2.246

x = 8.46 unit

Hence, 8.46 unit is measure of base of the triangle, that is value of x.

Learn more about trigonometric ratio here:

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Answer:

2x²+3x-6

Step-by-step explanation:

f(x)+g(x)

= x²+6x-5+x²-3x-1

=2x²+3x-6

are you sure about the ques?

Answer:

it will take 5days to reach a total of 180meters

Step-by-step explanation:

80m+20+20+20+20+20

=180meters

=5days

Answer:

see explanation

Step-by-step explanation:

Since PQ = PR , that is congruent legs of the triangle, then

Δ PQR is isosceles

Since ∠ QSR = 90° , then

Δ QSR is right angled

Answer:

1.0612

I tried using the alogarithm of ratios but am confused please help me

Answer:

-2 Answer

Step-by-step explanation:

SEE IMAGE for Solution

[tex]\overline {LM} \parallel \overline {ON} \ and \ \overline {LO} \parallel \overline {MN}[/tex] because they form congruent alternate interior angles with a common transversal, therefore, LMNO is a parallelogram because the opposite sides are parallel

The reason the above statement are correct is presented as follows:

The given parameters are;

[tex]\overline {LM}[/tex] is congruent to [tex]\overline {ON}[/tex] and [tex]\overline {LO}[/tex] is congruent to [tex]\overline {MN}[/tex]

Required:

To prove that LMNO (quadrilateral) is a parallelogram

Solution:

The two column proof is presented as follows;

Statement [tex]{}[/tex]           Reason

[tex]\overline {LM} \cong \overline {ON}[/tex]  [tex]{}[/tex]           Given

[tex]\overline {LM} = \overline {ON}[/tex]  [tex]{}[/tex]           Definition of congruency

[tex]\overline {LO}[/tex] ≅ [tex]\overline {MN}[/tex] [tex]{}[/tex]            Given

[tex]\overline {LO}[/tex] = [tex]\overline {MN}[/tex] [tex]{}[/tex]             Definition of congruency

[tex]\overline{LN}[/tex] ≅

[tex]\overline{LN}[/tex] =

ΔLNO ≅ ΔLMN [tex]{}[/tex]    Side Side Side (SSS) congruency postulate

∠NLM ≅ ∠LNO [tex]{}[/tex]    Cong. Parts of Cong. Triangles are Cong. CPCTC

∠NLM and ∠LNO are alternate interior angles

[tex]\mathbf{\overline {LM} \parallel \overline {ON}}[/tex]   [tex]{}[/tex]    Alternate interior angles between parallel lines are congruent

∠MNL ≅ ∠NLO [tex]{}[/tex]    CPCTC

∠MNL and ∠NLO are alternate interior angles

[tex]\mathbf{\overline {LO} \parallel \overline {MN}}[/tex]  [tex]{}[/tex]     Alternate interior angles formed between parallel lines are congruent

LMNO is a parallelogram because the opposite sides, [tex]\overline {LM} \parallel \overline {ON}[/tex] and [tex]\overline {LO} \parallel \overline {MN}[/tex] are parallel

Learn more about parallelogram here:

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LMNO is a plane shape which has the properties of a parallelogram. The the explanations below, it has been proven to be a parallelogram.

A parallelogram is a quadrilateral which has some unique properties. These properties can be used to prove if a given shape is a parallelogram or not.

To prove that LMNO as given in the question is a parallelogram:

Thus,

/LM/ ≅ /ON/ (opposite side property)

/LO/ ≅ /MN/ (opposite side property)

        i.e LM || ON and LO || MN

        i.e <MLO + <LMN = [tex]180^{o}[/tex]

also    

<LON + <MNO = [tex]180^{o}[/tex]

LN ⊥ MO

     <LMN ≅ <LON  and <MLO ≅ <MNO

Therefore the given quadrilateral LMNO has all the properties described above, then it is a parallelogram.

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Answer:

what the heck is this. what grade u in cuz im skipping it

Step-by-step explanation:

Answer:

SOLUTION: " The largest US standard postage stamp ever issued has a width of about 1 inch, which was 3/4 of the height of the stamp. Write and solve an equation to find the height of the st

Volume = (√3/4)a^2 × h

= (√3/4)4^2×5

=(√3/4)16×5

=√3×4×5

=20√3

Ans Volume is 20√3cm^2

Answered by GauthMath if you like please click thanks and comment thanks

Answer:

16-28+3 do it now ok!!!!!!

Answer:

If b=4,

b^2-7b+3

=4^2-7(4)+3

=16-28+3

=-9

Answer: 8 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so you can set AE and CE equal to each other, as well as BE and ED

2x=x+2

x=2

AC=2x+x+2

AC=3x+2

SUbstitute x

AC=3(2)+2

AC=6+2

AC=8

We have to find the circumference

[tex]\\ \rm\longmapsto C=2\pi r[/tex]

[tex]\\ \rm\longmapsto C=2\dfrac{22}{7}(14)[/tex]

[tex]\\ \rm\longmapsto C=44(2)[/tex]

[tex]\\ \rm\longmapsto C=88cm[/tex]

Answer:

30*sqrt(2)

Step-by-step explanation:

5*sqrt(72)=5*sqrt(36*2)=5*6*sqrt(2)=30*sqrt(2)

Answer:

60 degrees

Step-by-step explanation:

Answer:

75 degrees, 35 degrees

Step-by-step explanation:

a. Adding 25 degrees and 80 degrees yields 105 degrees.  The third angle of the given triangle must therefore be 180 degrees less 105 degrees, or 75 degrees.

b. Adding 25 degrees and 120 degrees yields 145 degrees.  The third angle of the given triangle must therefore be 180 degrees less 145 degrees, or 35 degrees.

Answer:

Step-by-step explanation:

There are 10 cubes all together.

You want blue and then red with replacement.

Blue

P(B then red) = 3/10 * 4/10 = 12 / 100

12/100 reduces to 3/25

The answer is A

Answer:

A?

Step-by-step explanation:

Answer:

29.1°

Step-by-step explanation:

Given that :

Riser, AB, Opposite = 10 cm

Thread, = AC, Adjacent = 18 cm

Angle of inclination, θ

Using trigonometry :

Tan θ = opposite / Adjacent = AB / AC

Tan θ = 10 / 18

θ = tan^-1(10/18)

θ = 29.055

Hence, angle of inclination is 29.1° (1 decimal place)

Answer:

Speed = 2 7/81 feet per second

Step-by-step explanation:

Distance travelled = 13/18 feet

Time taken = 9/26 seconds

Find the speed of Jayden in feet per second.

Speed = Distance travelled / Time taken

= 13/18 ÷ 9/26

= 13/18 × 26/9

= (13 * 26) / (18 * 9)

= 338 / 162

= 2 14/162

= 2 7/81 feet per second

Speed = 2 7/81 feet per second

Jayden speed is 2 7/81 feet per second

Let

We know

[tex]\boxed{\sf n(A\cup B)=n(A)+n(B)-n(A\cap B)}[/tex]

[tex]\\ \sf\longmapsto n(A\cap B)=n(A)+n(B)-n(A\cup B)[/tex]

[tex]\\ \sf\longmapsto n(A\cap B)=60+65-100[/tex]

[tex]\\ \sf\longmapsto n(A\cap B)=125-100[/tex]

[tex]\\ \sf\longmapsto n(A\cap B)=25[/tex]

Answer:

y = mx + c

m = -4

at y intercept x = 0

(x,y) =(0,-3)

-3 = -4(0) + c

c = -3

therefore the answer is y = -4x + c

Answer:

there may be mistake in the question

Answer:

30/360 ×π r^2 = AB

AB = 30 /360 × π ×6^2

AB = 9.42 IN

Answer:

y = 2 - [tex]x^{2}[/tex]

Step-by-step explanation:

[tex]x^{2}[/tex] results in a parabola (U-shape). Adding a negative in front of it flips the parabola to look like an upside-down U.

The 2 makes it shift up two decimal spots to (0,2).

Answer:

Solution given:

f(x)=2x²-5

g(x)=3x+3

now

(f-g) (x)=?

we have

(f-g)(x)=f(x)-g(x)

Answer:

[tex]2x^{2} - 3x - 8[/tex]

Step-by-step explanation:

Step 1:  Define what (f-g)(x) means

(f-g)(x) means that we have two different functions, f(x) and g(x).  (f-g)(x) is a shorter way of writing f(x) - g(x).  Therefore you just plug in the equations and combine like terms.

Step 2:  Find (f-g)(x)

[tex]f(x) = 2x^{2} - 5[/tex]

[tex]g(x) = 3x + 3[/tex]

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

[tex](f-g)(x) = 2x^{2} - 5 - 3x - 3[/tex]

[tex](f-g)(x) = 2x^{2} - 3x - 8[/tex]

Answer:  [tex]2x^{2} - 3x - 8[/tex]

Answer:

20 big bottles

14000 ml

Step-by-step explanation:

Let :

Small bottles = x ; big bottles = y

Capacity of small bottle = 400ml

Capacity of big bottle = 600 ml

Edwina :

Number of small bottles = 5

Georgi :

Number of big bottles = 16

Since Numbe of bottles are siad to be the same :

5 + y = 16 + x

y - x = 16 - 5

y - x = 11

y = 11 + x - - - (1)

Total capacity of Edwina's bottle is 800 ml more Than Georgi's total :

Edwina :

5(400) + 600y

Georgi :

400x + 16(600)

2000 + 600y = 800 + 400x + 9600

2000 + 600y = 10400 + 400x

600y - 400x = 10400 - 2000

600y - 400x = 8400 - - - (2)

Substitute y = 11+x for y in (2)

600(11+x) - 400x = 8400

6600 + 600x - 400x = 8400

200x = 8400 - 6600

200x = 1800

x = 1800 / 200

x = 9

Number of big bottles Edwina has :

y = 11 + x

y = 11 + 9

y = 20

Total capacity of Edwina's bottles :

5(400) + 600y

2000 + 600(20) = 2000 + 12000 = 14000 ml