Solve for a
ab + c =d​

Answer:

Step-by-step explanation:

The diagram representing the scenario is shown in the attached photo. Triangle FXY is formed with F representing the flagpole.

The sum of the angles in a triangle is 180

Angle F = 180 - (50 + 72) = 58°

We want to determine FY, the distance of the flagpole from Y. We would apply the sine rule which is expressed as

a/Sine A = b/SinB = c/SinC

Likening it to the given triangle, it becomes

FY/Sin72 = 34/Sin 58

Cross multiplying, it becomes

FYSin58 = 34Sin72

FY = 34Sin72/Sin58

FY = 34 × 0.951/0.848

FY = 38.13m

Answer:

y = 55

Step-by-step explanation:

The sum of the angles of a triangle are 180

40 + y+30 + y = 180

Combine like terms

70 +2y = 180

Subtract 70 from each side

2y = 180-70

2y = 110

Divide each side by 2

2y/2 = 110/2

y = 55

Answer:

x intercepts are : (1,0)(4,0),(-3,0)

Step-by-step explanation:

x intercepts are : (1,0)(4,0),(-3,0)

plot only the x values

hope it helps

Answer:

Answer is option a) 4:5

Step-by-step explanation:

[tex]the \: ratio \: \frac{4}{5} can \: \\ also \: be \: written \: as \: 4 : 5[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

/25 is the trigonometric

tan=24

Answer:

cos(e) sin(e) is the he correct ratio

Answer:

6

Step-by-step explanation:

7,14,21,28,35,42

There are 6 lots of 7 in 42 and it would be 1/7 of the time.

Answer:

The similarity postulate theorem is;

Similar - AA

Step-by-step explanation:

We are told that angle p is congruent to angle s, angle q is congruent to angle t.

Thus it is an AA similarity theorem because AA similarity theorem states that: If two angles in one triangle are congruent/respectively equal to two angles of another triangle, then the 2 triangles are similar.

For example, if we assume ΔABC and ΔDEF to be two triangles such that ∠A = ∠D and ∠B = ∠E. Then the two triangles are equiangular and thus they are similar by AA.

Answer: similar AA is correct

Step-by-step explanation:

Just took the test:)

Answer:

The correct answer is 3,129

Step-by-step explanation:

Hope this helps :)

Answer: 3,129

Step-by-step explanation: 4,470 - (30% × 4,470) =

                                             4,470 - 30% × 4,470 =

                                             (1 - 30%) × 4,470 =

                                             (100% - 30%) × 4,470 =

                                             70% × 4,470 =

                                             70 ÷ 100 × 4,470 =

                                             70 × 4,470 ÷ 100 =

                                             312,900 ÷ 100 =

                                             3,129

Answer:

65°

Step-by-step explanation:

The missing angle is x°

tan x° = [tex]\frac{opposite }{adjacent }[/tex]

tan x°= [tex]\frac{850}{400}[/tex]

tan x° = 2.125

using a calculator:

Answer:

The line [tex]y=-6[/tex] never intersects with the circle [tex]x^{2} +y^{2} =6[/tex]

Step-by-step explanation:

The equation of a circle with center [tex](h,k)[/tex] and radius of [tex]r[/tex] units is given by:

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

So, for the circle:

[tex]x^{2} +y^{2} =6[/tex]

[tex]h=0\\k=0\\r=\sqrt{6}\approx 2.54[/tex]

Which is a circle centered at the origin and radius of 2.45.

The line [tex]y=-6[/tex] is a horizontal line with a constant value of -6. Hence, the line never intersect the circle.

I attached you the graphs.

Answer: I think its B all real numbers, if i'm not mistaken..Hope this helps :)

The domain of the given function  f(x)  is "All real numbers". So, option B is correct.

The domain of a function is the set of possible values as inputs to the function.

The Domain of the exponential function is the set of all real numbers shown by R.

The given function is f(x) = 3×(1/4)^x

Since this function has the variable x in the exponent, this will be an exponential function.

So, The inputs are of all real numbers and the domain is {x:x ∈ R}.

Thus, option B is true.

Learn more about the domain and range of a function here:

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Answer:

A≈1135.93

Step-by-step explanation:

Hope I help

Answer:

1136.6cm^2

Step-by-step explanation:

[tex]V = 3600\\V =\frac{4}{3} \pi\times r^3\\3600=\frac{4}{3} \times \frac{22}{7} \times r^3\\3600 =\frac{88r^3}{21} \\88r^3 =3600 \times 21\\88r^3 =75600\\\frac{88r^3}{88} =\frac{75600}{88} \\r^3 = 859\\\sqrt[3]{r^3} =\sqrt[3]{859} \\r = 9.51\\\\T.S.A = 4\pi\times r^2\\T.S.A = 4 \times 3.142\times 9.51^2\\T.S.A = 4 \times 3.142 \times 90.4401\\T.S.A = 4\times 284.16\\T.S.A =1136.64[/tex]

Answer:Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.

Step-by-step explanation:

Answer:

Hey there!

6(7-4n)

42-24n

-24n+42

Hope this helps :)

Answer:

42-24n

Step-by-step explanation:

(7-4n)6

42-24n

-24n+42

Hope this helps ;) ❤❤❤

Answer:

B

Step-by-step explanation:

Answer:

[tex] Volume = 150 yd^3 [/tex]

[tex] Surface Area = 150 yd^2 [/tex]

Step-by-step explanation:

Going by the dimensions of the given three-dimensional figure, we can conclude that the figure is that of a cube. The height, length and width are equal.

Volume of a cube is given as [tex] a^3 [/tex] , while surface area of a cube is given as [tex] 6a^2 [/tex]

Where, a = the side length = 5 yards

[tex] Volume = a^3 = 5^3 [/tex]

[tex] Volume = 150 yd^3 [/tex]

[tex] Surface Area = 6a^2 = 6(5)^2 [/tex]

[tex] Surface Area = 150 yd^2 [/tex]

Answer:

x + 2/5 = 4

subtract 2/5 from both sides

That is

x + 2/5 - 2/5 = 4 - 2/5

x = 4 - 2/5

x = 18/5 or 3 3/5 as a mixed number

Hope this helps

Answer:

15 and 25

Step-by-step explanation:

x/y=3/5 ⇒ x= 3y/5

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

Answer:

solution,

Let the number be X and y

[tex] \frac{x}{y} = \frac{3}{5} \\ or \: x \times 5 = 3 \times y \\ or \: 5x = 3y \\ or \: x = \frac{3y}{5} ............ > equation \: i \\ [/tex]

If 5 is added to each number,

[tex] \frac{x + 5}{y + 5} = \frac{2}{3} \\ or \: 3(x + 5) = 2(y + 5) \\ or \: 3x + 15 = 2y + 10 \\ or \: 3x - 2y = - 5[/tex]

putting the value of X

[tex]3 \times \frac{3y}{5} - 2y = - 5 \\ or \: \frac{9y}{5} - 2y = - 5 \\ or \: \frac{9y - 2y \times 5}{5} = - 5 \\ or \: \frac{9y - 10y}{5} = - 5 \\ or - y = - 5 \times 5 \\ or \: - y = - 25 \\ y = 25[/tex]

Replacing the value of y in equation (i)

[tex]x = \frac{3y}{5} \\ x = \frac{3 \times 25}{5} \\ x = \frac{75}{5} \\ x = 15[/tex]

The value of X is 15.

The value of y is 25.

Hence,the two numbers are 15 and 25.

Hope this helps...

Good luck on your assignment..

Answer:

90,30

Step-by-step explanation:

let the three times be 3x then,

3x-22=68

3x=68+22

3x=90

x=90/3

x=30

again,

3x=3*30=90

please support me and give me brainliest

Answer:

36√3 unit square

Step-by-step explanation:

A=1/2(ab)sin120

A=1/2(12*12) sin120

A=72*√3/2=36√3 unit square

The area of triangle PQR is 36√3 square units.

The area can be defined as the space occupied by a flat shape or the surface of an object.

Area = (1/2) × base × height

According to the given question.

We have a triangle PQR.

In which PQ = QR and PQR = 120.

Draw a perpendicular bisector PM on RQ such that RM = QM = 6.

Now in triangle PQM we have

[tex]sin120 = \frac{PM}{PQ}[/tex]

⇒[tex]sin120 = \frac{PM}{12}[/tex]

⇒[tex]\frac{\sqrt{3} }{2} =\frac{PM}{12}[/tex]

⇒ [tex]PM = 6\sqrt{3}[/tex]

Now, the area of triangle PQR is given by

Area of PQR = 2 ×  area of triangle PQM

Area of PQR = 2 × [tex]\frac{1}{2} (6)(6\sqrt{3} )[/tex]

Area of PQR = 36√3

Hence, the area of triangle PQR is 36√3 square units.

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Answer:

      -7 ± i√127

x = -----------------

              2

Step-by-step explanation:

Next time, please share the possible answers.  Thank you.

x^2 + 7x + 44 has a parabolic graph that opens up and never intersects the x-axis.  Thus, it has no real roots.

The coefficients of this polynomial are a = 1, b = 7, c = 44.

The discriminant is b^2 - 4ac, or 7^2 - 4(1)(44) = -127.  As expected, this is negative, confirming that the roots are complex.

The roots are:

      -7 ± i√127

x = -----------------

              2

Answer:

c

Step-by-step explanation:

Answer:

55, Acute angled scalene triangle

90, Right angled scalene triangle

105, Obtuse angled scalene triangle

Step-by-step explanation:

Let us learn the property of a triangle.

Let a triangle be [tex]\triangle ABC[/tex].

Sum of all the three internal angles of a triangle is always equal to [tex]180^\circ[/tex].

OR

[tex]\angle A+\angle B+\angle C=180^\circ[/tex]

Given that triangles have 2 angles. Let us suppose, the third angle be [tex]x^\circ[/tex]

1. Triangle 1: two angles are [tex]50^\circ, 75^\circ[/tex]

[tex]\therefore 50^\circ+75^\circ+x=180^\circ\\\Rightarrow 125+x=180^\circ\\\Rightarrow x=55^\circ[/tex]

All the angles are less than 90 and no two angles are equal so, it is acute angle scalene triangle. (No sides equal)

2. Triangle 1: two angles are [tex]60^\circ, 30^\circ[/tex]

[tex]\therefore 60^\circ+30^\circ+x=180^\circ\\\Rightarrow 90+x=180^\circ\\\Rightarrow x=90^\circ[/tex]

One angle is 90 and not two angles are equal so, right angled scalene triangle.(No sides equal)

3. Triangle 1: two angles are [tex]30^\circ, 45^\circ[/tex]

[tex]\therefore 30^\circ+45^\circ+x=180^\circ\\\Rightarrow 75+x=180^\circ\\\Rightarrow x=105^\circ[/tex]

One angle is more than 90 and not two angles are equal so, obtuse angled scalene triangle.(No sides equal)

So, the answers are:

55, Acute angled scalene triangle

90, Right angled scalene triangle

105, Obtuse angled scalene triangle

Answer:

(x+12) and (x-12)

Step-by-step explanation:

This is the square formula.

a^2 - b^2 =(a+b)(a-b)

In this case, a is x and b is 12.

The inner terms cancel, leaving x^2 - 144.

Answer:

Step-by-step explanation:

The factors of 48 are :

1, 2, 3, 4, 6, 8, 12, 16, 24, and 48

hope this helps

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Answer:

314.16 in²

Step-by-step explanation:

The surface area of a sphere has a formula.

4πr²

Where r is the radius of the circle.

4π × 5²

4π  × 25

100π

= 314.159265

Answer:

314.16

Step-by-step explanation:

formula=4*pi*r^2

Answer:

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

Step-by-step explanation:

First, we need to factor the right side:

y=2(x^2+5x+6)

Now, we can have an incomplete equation like this:

y=2(x+_)(x+_)

In the blanks, we need to fill out numbers that add to be 5 and multiply to be 6. What are factors of 6? 6 and 1, 2 and 3. Do 6 and 1 add to be 5? No. Do 2 and 3 add to be 5? Yes!

So, our factored form is

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

Answer: Water: 120 gallons

Premium Antifreeze: 200 gallons

Step-by-step explanation:

Had to complete the question first.

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 80% pure antifreeze. The company wants to obtain 320 gallons of a mixture that contains 5% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?

Water: ____ gallons

Premium Antifreeze: _____ gallons

Solution:

Let w = amt of water required

An equation based on the the percent water, an 80% solution is 20% water

Multiply through

= 20% (320 - w) + w = 50% x ( 320)

64 - 0.2w + w = 160

Collecting like times

0.8w = 160 - 64

w = 96%

w = 120 gal of water to produce 320 gal of 50% antifreeze

320 - 120 = 200 gal of 80% solution

Water: 120 gallons

Premium Antifreeze: 200 gallons

Answer:

The fourth one:  Gavin has one and thirteen fourteenths buckets of water. Daven has one and three fourteenths buckets of water. Together they have three and two fourteenths buckets of water.

Step-by-step explanation:

Gavin = 1 13/14

Daven = 1 3/14

1 13/14 + 1 3/14 = 2  16/14

2 16/14 = 3 2/14 = three and two fourteenths