How tall is the tower?

The function in slope-intercept form is mathematically given as

f(x)=14x+154

Parameters

f(2)=-11,

f(4)=-25

Generally, the equation for the slope is  mathematically given as

[tex]m=\frac{-25+11}{2-}[/tex]

m=7

In conclusion, the line equation

y-2=7(x-+11)

y as subject

y=14x+154

f(x)=14x+154

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Answer:

Area = 84.8 cm²

Step-by-step explanation:

It appears that the line BO is equal to the radius. It also looks like the missing region is equal to 1/4 of the entire area. Therefore, to find the area of the shaded region, you need to (1) find the area of the entire circle and then (2) find the area of 3/4 of the circle.

Area of Circle:

r = 6 cm

A = πr²

A = π(6 cm)²

A = π(36 cm²)

A = 113 cm²

Area of Shaded Region:

Area (Entire Circle) x 3/4 = Area (Shaded Region)

113 cm² x 3/4 = 84.8 cm²

Answer:

 The triangle is not acute because 2² + 4² < 5².

Step-by-step explanation:

Answer:

The triangle is not acute because 2² + 4² < 5²

Step-by-step explanation:

got it correct on my quiz

Answer:

31.77 yd/sec

Step-by-step explanation:

Conversions:

Given:

[tex]\sf 65\:miles\:per\:hour=65\:miles/hour=\dfrac{65\:miles}{hour}[/tex]

Therefore, to convert 65 mph to yards per second:

[tex]\implies \sf \dfrac{65\:miles}{hour}=\dfrac{65 \times 1760\:yards}{3600\:seconds}=31.777...\:yd/s[/tex]

Answer:

c.) 31.77... yd/sec

Explanation:

Given: 1 hours → 65 miles

Conversions:

(i) 1 hour = 60 minutes = 3600 seconds

(ii) 1 miles = 1760 yards

Then,

⇒ distance/speed

⇒ 114400/3600

⇒ 31.77777...

⇒ 31.77 yd/sec

Both angles have a measure of 125°.

Assuming the two horizontal lines are parallel, we know that the measure of the two indicated angles must be the same one.

Then:

-1 + 14x = 12x + 17

Now we need to solve this for x:

14x - 12x = 17 + 1

2x = 18

x =18/2 = 9

Now that we know the value of x we can replace it in any of the expressions for the angles:

-1 + 14*9 = 125°

Both angles have a measure of 125°.

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Answer:  

Step-by-step explanation:

you take 30% and 10% and turn them into decimal like so:

30/100=0.3

10/100=0.1

400.00(0.3)=120.00

120(0.1)=12

Answer:

The answer is 32

Step-by-step explanation:

The value of the given 2 digits number when the tens place digit is x write in terms of x is; 10x + y

We are given that the sum of a two digit number is 5.

Now, if the number is xy, then we can say that;

x + y = 5

Since x is the tens place digit, then we can say that the value of x is 10x and as such the value of the 2 digits is written as;

10x + y

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Answer:

15¢

Step-by-step explanation:

$12.75 - 6 × $2.10 = $12.75 - $12.60 = $0.15

Answer: 15 cents

AnsTHE OTHER GUY GOT IT RIGHT SORRY I DID THE MATH WRONG :( Step-by-step explanation:

Answer:

5.2 miles

Step-by-step explanation:

Distance left to ride = 26.8miles - 6 miles = 20.8 miles

There are 4 days left, so on average,

Hassan has to ride:

[tex] \frac{20.8}{4} \\ = 5.2mi[/tex]

It will require 2 tablespoons of salt for just 1 tablespoon of sugar for the combination.

Word problems are a systematic approach used in mathematics for solving real-life cases by determining unknown values.

From the given information:

i.e.

11 tablespoon of sugar  + 22 teaspoon of salt = 1 recipe

Then it will require 2 tablespoons of salt for just 1 tablespoon of sugar.

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The weight of each one of the five little girls if taken separately is 242.4 lb.

The weight of each girl can be determined from the average weight of the girls.

Weight of each girl = (Total weight) / number of girls

W = (129 + 125 + 124 + 123 + 122 + 121 + 120 + 118 + 116 + 114)/5

W = 1,212/5

W = 242.4 lb

Thus, the weight of each one of the five little girls if taken separately is 242.4.

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The total cost or amount that Tiger Biscuits will pay will be Rs 16000.

From the information given, the factory is planing to produce 10,000 units and the standard time per 200 units is 8 hours.

The time taken to produce 10000 units will be:

= (10000/200) × 8

= 400 hours.

The amount that the company will pay will be:

= 400 × Rs 40

= Rs 16000

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The area of triangle BMN is 124.7 square centimeter.

Similar triangles are triangles that their corresponding angles are equal and the ratio of their corresponding lengths are equal. They are often similar When at least Two angles are equal or The ratio of any corresponding lengths are same.

Analysis:

AB = AC = BC = 50cm

AH = AC/2 = 50/2 = 25cm

From Δ ABH, using Pythagoras theorem to find BH.

[tex](BH)^{2}[/tex] = [tex](AB)^{2}[/tex] - [tex](AH)^{2}[/tex]

[tex](BH)^{2}[/tex] = [tex]50^{2}[/tex] - [tex]25^{2}[/tex]

[tex](BH)^{2}[/tex] = 2500 - 625

[tex](BH)^{2}[/tex] = 1875

BH = [tex]\sqrt{1875}[/tex] = 43.3cm

ΔBMN and BHC are similar,

so, BM/BH = MN/HC

BM/43.3 = 12/25

25BM = 12 X 43.3

BM = 519.6/25 = 20.78cm

Area of ΔBMN

= 1/2(MN)(BM) = 1/2 x 12 x 20.78 = 124.7 square centimeter

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The tangents that exists between the two given circles are not common tangents because they are not of the same size or circumference.

A tangent can be defined as the plane line that touches a curved surface such as a circle but doesn't pass through the circle.

From the diagram given, the two circles are not of the same size, that is, they have different circumstances. This means that the point where the line meets the both circles are not the same.

Therefore, the tangents that exists between the two given circles are not common tangents.

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Answer:

4a

Step-by-step explanation:

-8 / -2 = 4

a^8/a^7 = a^(8 - 7) = a

Answer: 4a

The general form of the given equation is 3x-y=0.

The given equation is [tex]x=\frac{1}{3}y[/tex].

We need to write the given equation in a general form.

The general form of any equation contains the degree of variables in decreasing order. The general form of a linear equation is ax + b = 0.

That is, [tex]3x=y[/tex]

[tex]3x-y=0[/tex].

Hence, the general form of the given equation is 3x-y=0.

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The equation that represents the situation will be 4y = 5x.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The number y of objects a machine produces is proportional to the time x (in minutes) that the machine runs.

The machine produces five objects in four minutes.

Let y be the number of objects and x be the number of the minutes.

Then the equation that represents the situation will be

 y = (5/4)x

4y = 5x

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Answer:

Step-by-step explanation:

Big clever stuff 100 men in 1 second tick tick boom

Answer:

-56√3x

Step-by-step explanation:

√147 = 7√3

-8(7√3x)

-56√3x

The diagram to represent the possible cases for common tangents between two circles is as shown in the attachment.

A tangent line to a circle is defined as a line that touches the circle at exactly one point, never entering the circle's interior.

Thus, the diagram to represent the possible cases for common tangents between two circles are as attached below.

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A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.The triangles formed due to the diagonal of the rectangle are congruent to one another.

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

For the given rectangle ABCD, the length of the diagonals AC and BD can be written as,

AC = √(x² + y²)

BD = √(x² + y²)

Now, the triangles formed due to the diagonals AC and BD are ΔABC and ΔBCD. Also, for ΔABC and ΔBCD we can write,

∠ABC = ∠BCD = 90°

AB = CD = x {Oppsite sides of the rectangle are equal}

BC = AD = y {Oppsite sides of the rectangle are equal}

Hence, the two triangles are equal. Therefore, the triangles formed due to the diagonal of the rectangle are congruent to one another.

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The solution to the equation below to the nearest fourth of a unit is 0.75

Given the linear equation below expressed as:

2-5x=2x - 3

Collect the like terms

-5x - 2x = -3- 2

-7x = -5

Divide both sides by -7 to have:

-7x/-7 = -5/-7
x = 5/7

x = 0.75

Hence the solution to the equation below to the nearest fourth of a unit is 0.75

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The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

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Step-by-step explanation:

all real numbers not equal to 0

all real numbers

Step-by-step explanation:

[tex]What \ is\ the \ range \ of \ y = log_8x?\\x > 0 \ or\ x\in(0;\infty).\\Answer: \ all \ real \ numbers \ greater\ than \ 0.[/tex]

Congruent triangles are two or more triangles with the same length of sides and measure of internal angles. Thus the required proof is as shown below:

From the given diagram, it can be observed that:

AB = AC (similar property of two lines)

AC = AE (similar property of two lines)

Also,

m<A is a common angle to ΔABC and ΔADE

So that it can be concluded that;

ΔABC ≅ ΔADE (Side-Angle-Side property)

Thus since ΔABC ≅ ΔADE are congruent, then;

BC = DE (corresponding sides of congruent triangles)

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See below for the proof that sides BC and DE are congruent

The given parameters are:

AC = AE

AB = AD

∠BAD = ∠EAC

By the definition of congruence, side lengths marked with I are congruent and side lengths marked with II are congruent

From the attached figure, we have the following marks:

In triangle ABC,

AB = I and AC = II

In triangle ADE,

AD = I and AE = II

This means that two corresponding sides of ABC and ADE are congruent.

Since both triangles have a congruent angle, then the last corresponding sides are also congruent

i.e. BC = DE

Hence, sides BC and DE are congruent

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Answer:

BC || AD and AB || CD (given)

∠BCA ≅ ∠DAC 2. As alt.interior angles with parallel lines

∠BAC ≅ ∠DCA 3. As alt.interior angles with parallel lines

AC ≅ AC (identity)

△ABC ≅ △CDA (ASA)

AB = CD (CPCT C)