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What is simple interest? -provide formula and an example

Answer:

[tex] \purple {\bold {m\angle PTR=136\degree}} [/tex]

[tex] \orange {\bold {m\angle PQR=68\degree}}[/tex]

Step-by-step explanation:

PS and RS are tangents to the circle with center T at points P and R. (given)

TP and TR are radii of the given circle.

[tex] \therefore PS\perp TP\: \&\: RS\perp TR[/tex]

(radius is perpendicular to the tangent)

[tex] \therefore m\angle TPQ= m\angle TRS =90\degree [/tex]

In quadrilateral SPTR

[tex] m\angle TPQ+ m\angle TRS+m\angle PSR +m\angle PTR=360\degree [/tex]

[tex] 90\degree+ 90\degree+44\degree +m\angle PTR=360\degree [/tex]

[tex] 224\degree +m\angle PTR=360\degree [/tex]

[tex] m\angle PTR=360\degree - 224\degree[/tex]

[tex] \purple {\bold {m\angle PTR=136\degree}} [/tex]

By inscribed angle theorem:

[tex] m\angle PQR=\frac{1}{2} \times m\angle PTR[/tex]

[tex] m\angle PQR=\frac{1}{2} \times 136\degree[/tex]

[tex] \orange {\bold {m\angle PQR=68\degree}}[/tex]

Answer:

90 clockwise (or counterclockwise) rotation and then a reflection over the axis between the two shape (those two steps go in any order)

Step-by-step explanation:

for this lets mark the innermost point of each shape a (blue or A) and a' (red or B)* and the second point b and b'

here we see that the two shapes are in a position to where they seem reflected over a non-existent third diagonal axis, though this is not the case, we need to bring the shape into a position where it can be transformed to the quadrant of shape B and overlap the shape

so when you have a reflection over a diagonal axis, we can rotate or reflect the shape to a new quadrant, and perform the step thats not the first, so say we made a reflection over the X-axis, the shape is now in the lower half of the graph with shape B, from here we perform our last step wich is to rotate the shape into the quadrant of shape B in a clockwise motion, now a and a' overlap and b and b' overlap, same for c, c',d and d'

(*the ' in this case is called a prime symbol, when used, distinguishes two points or lines on a graph, A' = A prime)

Answer:

6/7

Step-by-step explanation:

Product of slope of perpendicular line = -1

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]= \frac{7-0}{3-9}\\\\=\frac{7}{-6}\\\\=\frac{-7}{6}[/tex]

Slope of the  perpendicular line = -1/m = -1 ÷ [tex]\frac{-7}{6}[/tex]

                                                     [tex]= -1 * \frac{-6}{7} = \frac{6}{7}[/tex]

Answer:

388

Step-by-step explanation:

i looked it up

Answer:

D

Step-by-step explanation:

Δ DCA and Δ ABE are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{CA}{BE}[/tex] = [tex]\frac{DA}{AE}[/tex] , substitute values

[tex]\frac{18}{10}[/tex] = [tex]\frac{x+8}{8}[/tex] ( cross- multiply )

10(x + 8) = 144 ( divide both sides by 10 )

x + 8 = 14.4 ( subtract 8 from both sides )

x = 6.4 → D

The value of x is the length of BD, so x = 6.So, The correct answer is C. 6.

The value of x is the length of the altitude from vertex B to side AC. We can find this length by using the Pythagorean Theorem on right triangle ABD.

[tex]AB^2 + BD^2 = AD^2\\8^2 + BD^2 = 10^2\\BD^2 = 36\\BD = 6[/tex]

The altitude from vertex B to side AC is equal to the length of BD, so x = 6.

Here is a breakdown of the steps involved in solving for x:

We are given the lengths of sides AB and AC of triangle ABC.

We know that the altitude from vertex B to side AC will be perpendicular to side AC. We can use the Pythagorean Theorem on right triangle ABD to find the length of BD, which is the altitude from vertex B to side AC.

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Answer:

Steady

Step-by-step explanation:

I understand how you can get confused on this but steady is your keyword because steady means at a proportional rate and has not drastic changes if graphed on a number line.

Answer:

The measure of A is 93

Step-by-step explanation:

Here, we want to get the measure of angle A

we can start by getting the measure of angle C

Mathematically, we can use sine rule

It states that the ratio of the length of a side of a triangle and the sine of the angle it faces is constant

So to get C, we have the following;

9/sin 38 = 11/sin C

sin C = 11sin 38/9

sin C = 0.7525

C = sin^-1(0.7525)

C = 48.80

This is approximately 49

To get A,

we know that if we added the measure of interior angles of a triangle, the addition is 180 degrees

Thus, we have it that:

38 + 49 + A = 180

A = 180-38-49

A = 93

Answer:

139.36

Step-by-step explanation:

first you do 8*8 because that would be the area of the square part

8*8=64

then find the area of the semicircle

first the Radis of it is 4 because 8/2=4

A=3.14R^2/2

3.14*4^2/2

3.14*16/2

50.24/2

25.12

now because there are 3 of the semicircles you do

25.12*3

75.36

then you add the 64 from the square to get your answer

75.36+64

139.36

Answer:

no because

Fractions and decimals are not integers. All whole numbers are integers (and all natural numbers are integers), but not all integers are whole numbers or natural numbers. For example, -5 is an integer but not a whole number or a natural number.

-6/3 is not an integer.

A number system is defined as a system of writing to express numbers.

We need to check whether -6/3 is a integer or not .

An integer is a whole number (not a fractional number) that can be positive, negative, or zero.

The given number is a fraction which is not comes under the integers.

All whole numbers are integers but  but not all integers are whole numbers or natural numbers.

If the fraction is simplified we get -2 which will be an integer but the fraction form is not considered as integer.

Hence, -6/3 is not an integer.

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Answer:

code lazar

Step-by-step explanation:

2x+4<10

Subtract 4 from both sides to cancel it out.

2x+4<10

   -4   -4

2x<6

Now divide 2 from both sides to cancel that out.

2x<6

/2  /2

x<3

So that's the answer.

---

hope it helps

Answer:

51 goals

Step-by-step explanation:

Given data

Dyson completed 85% of his field goal attempt

number of attempts = 60

Required

The number of goals

=85/100*60

=0.85*60

=51 goals

Hence he made 51 goals in all

Answer:

8

Step-by-step explanation:

That's the value for 6- (-2)=8

Answer:

d. 14 pieces

Step-by-step explanation:

3.5 ÷ 25 = 0.14 = 14

cuz the 0. doesn't have a value

Answer:

Your number is 3

Step-by-step explanation:

3*3 is 9 and there are no other numbers multiplied by itself to get 9

Answer:

5/6

4/5

6/7

Step-by-step explanation:

Answer:

6 and 7; 1 and 4; 4 and 5

Step-by-step explanation:

a supplementary angle is when two angles added together equal 180 degrees. In other words, if two angles make a straight line when put together, they are supplementary.

Answer:

x = 111; y =36; z = 76

Step-by-step explanation:

The sum of the interior angles of a triangle will add up to zero and a line that divides a straight line into to parts will have a sum of angles of 180 degrees. Use this information to add and subtract the angles to find x, y, and z.

Answer: Is this the whole question if not i can edit later and answer once i get it all?

Answer:

y = 25x – 300

Step-by-step explanation:hope I helped

Answer:

$20 was how much money he had before he spent any money.

Step-by-step explanation:

So, with any problem like this, all you have to do to figure out the answer is to add how much money is left and how much was spent. So, like this:

Amount left + Amount spent = Original Amount

Answer:

its easy

use this formula

the right one is the solution of question number 1

Step-by-step explanation:

Answer:

[tex] \sf8 \: \frac{newspapers}{plie}\: or\: \text{8 newspapers per pile} [/tex]

Step-by-step explanation:

according to the question

Answer:

Solution given:

48 newspaper in 6 pile=48news paper per 6 piles

=48/6=8 news paper per pile

the unit rate of 48 newspapers in 6 piles is 8 news paper per pile

Answer:

I am pretty sure there equivalent

Answer:

$160,500

Step-by-step explanation:

First, find the coming years sales

7% of 1,500,000 is 105000

105,000+1,500,00=1,605,000

1,605,000 is the next year's sales and we do that *0.1 to find the advertising.

1,605,000*0.1=160,500

So 160,500 will be set aside for advertising

Hope this helped!

Answer:

m∠A = 45⁰

m∠B = 75⁰

Step-by-step explanation:

Given question 4;

m∠A = x + 51

m∠B = 81 + x

m∠C = 60⁰

The value of the missing angles can be determined by the finding the value of x first;

m∠A  +  m∠B  + m∠C = 180⁰ (sum of angles in a triangle)

(x + 51)  +  (81 + x)  +  60⁰ = 180

(x + x) + (51 + 81 + 60) = 180

2x + 192 = 180

2x = 180 - 192

2x = -12

x = -12/2

x = -6

Thus, the values of the angles are calculated as follows;

m∠A = x + 51

         = -6 + 51  

          = 45⁰

m∠B = 81 + x

        = 81 - 6

         = 75⁰

Answer:

47378.31625 Liters

Step-by-step explanation:

A fountain holds 12500 7/8 gallons of water. Joe wants to calculate how many liters that is. Which proportion could he use to solve for the number of liters? (1 gal = 3.79 L)

From the above question,

1 gallon = 3.79 Liters

12500 7/8 gallons = x Liters

Cross Multiply

x Liters = 12500 7/8 × 3.79 Liters

x = 47378.31625 Liters

Therefore, the number of liters of water in the fountain is 47378.31625 Liters

Answer:

figure it out lol

Step-by-step explanation:

u got oofed

Answer: it will be subtract try all things possible

Step-by-step explanation: