4x+3=-10x+ 3 in simples form

Step-by-step explanation:

50cm/40m = 0.5m/40m = 0.0125 = 1/80

1. cos(30) = a/16

a = 16 x cos(30)

a = 8√3

sin(30) = c/16

c = 16 x sin(30)

c = 8

2. cos(30) = d/28

d = 28 x cos(30)

d = 14√3

sin(30) = f/28

f = 28 x sin(30)

f = 14

3. sin(30) = x/62

x = 62 x sin(30)

x = 31

cos(30) = y/62

y = 62 x cos(30)

y = 31√3

Answer:

  1. (a, c) = (8, 8√3)

  2. (d, f) = (14, 14√3)

  3. (x, y) = (31, 31√3)

Step-by-step explanation:

Side lengths in a 30°-60°-90° triangle have the ratios 1 : √3 : 2. You can multiply these ratio values by an appropriate constant to make them match the lengths in your triangle.

__

1. a : c : 16 = 1 : √3 : 2

Multiply by 16/2 = 8:

  = 8 : 8√3 : 16

  a = 8, c = 8√3

__

2. d : f : 28 = 1 : √3 : 2

Multiply by 28/2 = 14:

  = 14 : 14√3 : 28

  d = 14, f = 14√3

__

3. x : y : 62 = 1 : √3 : 2

Multiply by 62/2 = 31:

  = 31 : 31√3 : 62

  x = 31, y = 31√3

Replace y with 15

The equation is now:

1x - 15 = 30

Add 15 to both sides:

1x = 45

Divide both sides by 1

X = 45

Answer: X = 45

Step-by-step explanation:

1x - 15 = 30

add 15 to both sides

1x = 30 + 15

1x = 45

then you have to seperate the 1 from the x, so divide 1 from both sides

45 divided by 1 = 45

so the answer is x = 45

Answer:

≈93.6

Step-by-step explanation:

percent right = answers right/ anwers wrong

Answers right= 47-3=44

%=44/47

≈93.6

Answer:

SSS postulate because three sides of a triangle are are congruent

Answer:

SSS

It is SSS because it is the end of the proof.

Answer: A on Edge

Step-by-step explanation:

f(x) = (x –1)2 – 7

Answer:

A

Step-by-step explanation:

Answer:

The bottom right

Step-by-step explanation:

switch the x and y and solve for y again

Answer:

a

Step-by-step explanation:

c because it is accuet.

hope it helps

Option C . The reflexive property of congruence is the correct reason that can justify statement 3 . BD≅BD

The reflexive property of congruence states that every side, every angle, every line segment and every shape is congruent to itself.

To prove that ΔABD is congruent to ΔCBD where given that

1.Line segment AB ≅ Line segment CB  (Given)

2. Then we can write AD ≅CD ; Given : D is the mid point of AC

3. line segment BD ≅ Line segment BD , this is true by reflexive property of congruence which states that every line segment or side is congruent to itself.

BD can be considered as side of both the given triangles

Therefore, the reason that can justify statement 3 is option C.

Also, Learn more about the properties of congruence from the link below:

https://brainly.com/question/2039214

#SPJ5

Answer:

3360 cm^2

Step-by-step explanation:

24 times 14 times 10 = 3360

Answer:

c

Step-by-step explanation:

no because the adjacent sides are not perpendicular.

What question are you needed answers to?

Answer:

B.

Step-by-step explanation:

[tex]24^{\frac{1}{3} }[/tex]

=> [tex](2*2*2*3)^{\frac{1}{3} }[/tex]

=> [tex](2^3*3)^{\frac{1}{3} }[/tex]

=> [tex]2\sqrt[3]{3}[/tex]

Answer:

see below

Step-by-step explanation:

When we simplify we get x > -28.5 (since dividing an inequality by a negative number flips the sign). Therefore its graph would be an open circle at –28.5 and an arrow pointing right.

Answer:

A

Explanation:

It is easy (Not trying to be mean)

Answer:

x=  4/3 and y=3

Answer:

Average speed of boat = 3.67 km/h

Average speed of stream = 0.63 km/h

Step-by-step explanation:

30 km upstream in 10 hours gives a speed of 30/10 = 3 km/h relative speed of boat and stream

Same way, 44 km in 10 hrs = 4.4 km/h relative speed of boat and stream.

Let the speed of the stream be y

Let the speed of both be x, then

x - y = 3.... (1)

x + y = 4.4.... (2)

Subtract 1 from 2

2y = 1.4

y = 1.4/2 = 0.7 km/h

substitute value of y in 1

x - 0.7 = 3

x = 3.7 km/h

Also, 40 km upstream in 13 hrs gives speed of 3.08 km/h

55 km in 13 hrs gives 4.2 km/h

Let speed of boat be x and that of stream be y

x - y = 3.08.... (1)

x + y = 4.2..... (2)

Subtract 1 from 2

2y = 1. 12

y = 0.56 km/h

Substitute value of y in 1

x - 0.56 = 3.08

x = 3.64 km/h

Average speed of boat = (3.7 + 3.64)/2

= 3.67 km/h.

Average speed of stream = (0.7 + 0.56)/2 = 0.63 km/h

Answer:

As we know that,

[tex]\bigstar \: \: \sf Time = \dfrac{Distance}{Speed} \\ \\ [/tex]

[tex]\bigstar\:\underline{\boldsymbol{According\: to \:the\: Question\:now :}} \\[tex]

[tex]:\implies \sf \dfrac{30}{x - y} + \dfrac{44}{x + y} = 10 \\ \\ \\ [/tex]

[tex]:\implies \sf \dfrac{40}{x - y} + \dfrac{55}{x + y} = 13 \\ \\ \\[/tex]

[tex]\sf Let \: \dfrac{1}{x - y} = \textsf{\textbf{m}} \sf \: \: and \: \: \sf{\dfrac{1}{x + y} = \textsf{\textbf{n} }}\\ \\ \\[/tex]

[tex]:\implies \sf 30m + 44n = 10\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (i)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]:\implies \sf 40m + 55n = 13\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (ii)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]\qquad\tiny \underline{\frak{ Multiply \: equation \: (ii) \: by \: 3 \: and \: equation \: (i) \: by \: 4 :}} \\[/tex]

[tex]:\implies \sf 120m + 176n = 40\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (iii)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]:\implies \sf 120m + 165n = 39\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (iv)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]\qquad\tiny \underline{\frak{ Substracting \: equation \: (iii) \: from \: equation \: (iv) \: we \: get :}} \\[/tex]

[tex]\sf 120m + 176n = 40 \\ \\

\sf 120m + 165n = 39 \\ \\ [/tex]

[tex]\sf \: \: ( - ) \:\:\: \: \: ( - ) \: \: \: \: \: \: \: ( - ) [/tex]

_____________________

[tex]\: \: \: \: \qquad\sf 11n= 1 \\[/tex]

[tex]\: \: \: \: \: \qquad\sf n= \dfrac{1}{11} \\ \\ [/tex]

[tex]\qquad\tiny {\frak{ Put\: n = \dfrac{1}{11}\:in\:equation \: (i) \: we \: get :}} \\[/tex]

[tex]\dashrightarrow\:\:\sf 30m + 44 \times \dfrac{1}{11} = 10 \\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf 30m= 10 - 4 \\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf 30m= 6 \\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf m= \dfrac{6}{30} \\ \\ \\ [/tex]

[tex]\dashrightarrow\:\:\sf m= \dfrac{1}{5} \\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf \dfrac{1}{x - y} = m\\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf x - y= 5\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (v)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf \dfrac{1}{x + y} = n\\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf x + y= 11\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (vi)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]\qquad\tiny {\frak{Adding\:equation \: (v) \: and \: equation \: (vi) \: we \: get :}} \\[/tex]

[tex]:\implies \sf 2x = 16 \\ \\ \\[/tex]

[tex]:\implies \underline{ \boxed{ \textsf {\textbf{x = 8 km/hr}}}} \\ \\[/tex]

[tex]\qquad\tiny {\frak{Putting\:x = 8\: in \: equation \: (v) \: we \: get :}} \\[/tex]

[tex]:\implies \sf 8 - y = 5 \\ \\ \\ [/tex]

[tex]:\implies \sf y = 8 - 5 \\ \\ \\[/tex]

[tex]:\implies \underline{ \boxed{ \textsf {\textbf{y = 3 km/hr}}}} \\ \\[/tex]

[tex]\bigstar\:\underline{\sf{Therefore\: speed\: of \:boat\: in\: still \:water\: and\: speed\: of\: stream:}} \\[/tex]

[tex]\bullet\:\:\textsf{Speed of boat in stream = \textbf{8 km/hr}}\\[/tex]

[tex]\bullet\:\:\textsf{Speed of boat in still water = \textbf{3 km/hr}}\\[/tex]

Answer:

Step-by-step explanation:

if the number is below 5, go down

if the number is 5 or above, go up

1,600 is closer to 2,000

1,483 is closer to 1,000

Then, 2000 > 1000

Answer:

Brainliest!

Step-by-step explanation:

1600 rounded is 2000

1483 rounded is 1000

Answer:

B-points B, C, and D

Step-by-step explanation:

got this correct:)

Answer:

[tex]v=-0.098t+c\ln(R)\\c\ln(R)=v+0.098t\\ln(R)=\frac{v+0.098t}{c} \\R=e^{\frac{v+0.098t}{c}}[/tex]

Answer:

[tex]1.8cm[/tex]

Step-by-step explanation:

Use the volume of cube formula.

[tex]\displaystyle V=s^3[/tex]

[tex]\displaystyle5.832=s^3[/tex]

[tex]\displaystyle\sqrt[3]{5.832} =s[/tex]

[tex]\displaystyle s=1.8[/tex]

Answer:

a= 1.8 cm

Step-by-step explanation:

V= a³

Answer: x = 5 and y=-6

Step-by-step explanation:

If we graph both equations, the interception is the point (5,-6). Therefore the solution for x is 5 and for y is -6.

Complete Question:

Jenny is going to tile her kitchen floor of area 30 m^2. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.

Answer:

Extra amount needed by Jenny to buy the tiles = £8

Step-by-step explanation:

Floor area = 30.0 m^2

Area covered by a pack of tiles = 2.0 m^2

Number of packs needed = 30/2

Number of packs needed = 15

Price of a pack of tiles = £9.60

Discount = 25%

Jenny will pay 75% of the marked price

Amount Jenny will pay for a pack of tiles = 75% of 9.60 = 0.75*9.60

Amount Jenny will pay for a pack of tiles = £7.20

Amount Jenny will pay for 15 packs of tiles = 7.20 x 15

Amount Jenny will pay for 15 packs of tiles = £108

The amount of money Jenny currently has = £100

Extra amount needed by Jenny to buy the tiles = £108 - £100

Extra amount needed by Jenny to buy the tiles = £8

Answer:

80m

Step-by-step explanation:

The height of giant redwood tree is 100m.

so half of it is 50m

The height of redwood tree is 30m+ 50m= 80m

Answer: 60 m

Step-by-step explanation:

30 + .5x = x

30 = .5x

60 = x

Answer:

[tex]31.42 \: cm[/tex]

Step-by-step explanation:

[tex]C=\pi d[/tex]

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

[tex]C=2\pi \times 5[/tex]

[tex]C=10\pi[/tex]

[tex]C=31.41592...[/tex]

[tex]answer \\ 31.4 \: cm \\ solution \\ r = 5 \: cm \\ d = 5 \times 2 = 10 \: cm \\ circumference = \pi \: d \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 10 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 31.4 \: cm \\ hope \: it \: helps[/tex]

The right answer is -2/3

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

Answer:

-2/3

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

(10-12)/(5-2) = -2/3

Answer:

The answer is 10⁴ × 4⁵.

Step-by-step explanation:

First, you can seperate the fraction :

[tex] \frac{ {10}^{4} \times {4}^{10} }{ {4}^{5} } [/tex]

[tex] = {10}^{4} \times \frac{ {4}^{10} }{ {4}^{5} } [/tex]

Next, you have to apply Indices law :

[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]

So for this question :

[tex] {10}^{4} \times \frac{ {4}^{10} }{ {4}^{5} } [/tex]

[tex] = {10}^{4} \times {4}^{10 - 5} [/tex]

[tex] = {10}^{4} \times {4}^{5} [/tex]

Answer:

The measure of each angle of the parallelogram.

37∘ , 143∘ , 37∘ , 143∘.

Step-by-step explanation:

Since opposite angles of a parallelogram are equal. Therefore,

3x − 2=50 − x⇒x = 13

(3x−2)∘ = 3(13)−2 = 37∘

The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary.

Another angle = 180−37=143∘

The measure of each angle of the parallelogram.

37∘ , 143∘ , 37∘ , 143∘

Moving to the right and up, the only two points that could be placed in another point would be C or B

The answer would be 6. point C could be the image of E

Answer:

im confident the answer is A C E

Step-by-step explanation:

Answer:

91+c

Step-by-step explanation:

The equation to find the perimeter of the triagle is every side added together. We know 2 sides which means we add them to get 91. Then we know we don't know the next number but we add it so we just put the c where the next number to be added would go.