Mathematics
height=1cm,base=√5cm.what is the area of isosceles triangle?

Answer:

[tex]B) ~\dfrac 25[/tex]

Step-by-step explanation:

[tex]\text{Given that,} ~ (x_1,y_1) = (-2,2)~ \text{and}~ (x_2 ,y_2) = (3,4)\\\\\text{Slope},~ m = \dfrac{y_2 - y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~~=\dfrac{4-2}{3+2}\\\\\\~~~~~~~~~~~~~=\dfrac 25[/tex]

Hi student, let me help you out! :)

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We are asked to find the slope of the line that contains the points (-2, 2) and (3, 4).

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

[tex]\star~\mathrm{\cfrac{y2-y1}{x2-x1}}[/tex]

Where

y2 and y1 are y-coordinates

x2 and x1 are x-coordinates

Substitute the values:

[tex]\star~\mathrm{\cfrac{4-2}{3-(-2)}}[/tex]

Simplify!

[tex]\star~\mathrm{\cfrac{2}{5}}[/tex]

Hope it helps you out! :D

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Answer:

9-pack

Step-by-step explanation:

Price per roll for 4-pack = Pack price / Number of rolls in pack

= 2.25 / 4

= £0.56 (rounded off to nearest cent)

Price per roll for 9-pack = Pack price / Number of rolls in pack

= 4.50 / 9

= £0.50

From here, we can see the 9-pack is of better value.

In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front.

The Position of an object in a drawing is known to be parallel to the plane of projection and the circular shape is true in front plane of the oblique view.

The measurements on the front and oblique faces are known to have all its lengths to be true.

Note also that A pictorial drawing that has the front view of an object parallel to the projection plane and shown its true size and shape is known to be Oblique Drawing.

Therefore, In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front and as such, option d is correct.

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Answer:

Hi,

Step-by-step explanation:

[tex](x-10)^2=12(y+2)\\y=\dfrac{(x-10)^2}{12}-2\\y'=0 == > 2(x-10)/12=0 == > x=10 == > y=-2\\\\Vertex\ is\ (10,-2)\\[/tex]

Answer:

10 + 2√109 ≈ 30.88

Step-by-step explanation:

Answer:

fx 8

Step-by-step explanation:

ao the answer ia fx 8 do times

speed = distance / time

35 minutes / 60 minutes = 0.583 hours

speed = 49 km / 0.583 hours

Speed = 68.57 km/hr

answer: C. 68.57 km/hour

The probability notation for choosing a red disk is P(red disk)

From the question, we have the following highlights:

Probability notations are represented as:

P(Event)

Since the event is choosing a red flask, the probability would be

P(red disk)

Hence, the probability notation for choosing a red disk is P(red disk)

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Answer:

495

Step-by-step explanation:

12C4 = 12*11*10*9/(4*3*2*1) = 495

Answer:

495

Step-by-step explanation:

12C4 = 12*11*10*9/(4*3*2*1) = 495

Answer:

If the question is which is closest to 8, the answer is 61

Step-by-step explanation:

Answer:

[tex]h=\frac{6}{4}[/tex]

Step-by-step explanation:

[tex]2h-(6h-5)=-1\\2h-6h+5=-1\\-4h+5=-1\\-4h=-6\\\boxed{h=\frac{6}{4}}[/tex]

The input value of the function h(-7) for h(x) = 5.7 - 19x is -26.6.

We are given the function;

h(x) = 5.7 - 19x

Thus;

h(-7) = 5.7 - 19(1.7)

h(-7) = 5.7 - 32.3

h(-7) = -26.6

Thus, we conclude that the input value of the function h(-7) is -26.6.

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Answer:

Metaphor

Step-by-step explanation:

This is a comparison between the ocean and a magnet, but it did not use like or as, so it is a metaphor.

Answer: The correct answer is 3. metaphor.

Step-by-step explanation:

A hyperbole is an exagerration.

A simile is a comparison used with like or as.

A metaphor is a comparison used without like or as.

Therefore, "The ocean was a magnet pulling me closer to it." includes a metaphor.

Answer:

Step-by-step explanation:

Here is a list of possible outcomes.

Penny      nickel

Heads      heads

Heads       tails

tails            Heads

tails            tails

Since there are four ways the two coins can land, the chances of getting tails - tails is 1 chance in 4.

Answer: The answer is C 1/4

Answer:

[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]

Gamitin mo utak mo bleh

[tex]\red{\rule{10pt}{999999pt}}\orange{\rule{10pt}{999999pt}}\green{\rule{10pt}{999999pt}}\blue{\rule{10pt}{999999pt}}\purple{\rule{10pt}{999999pt}}[/tex]

Answer:

Let us assume your secret number is 12, and we can simply write down ALL the factors of 12:

1, 12

2, 6

3, 4

Answer:

5 times bigger

Step-by-step explanation:

(6-4) = 2

(6-4) x 5 = 10

Answer:

29/48

Step-by-step explanation:

Total number of spins: 8 + 11 + 17 + 12 = 48

Total number of spins greater than 2: 17 + 12 = 29

p(greater than 2) = 29/48

Answer:

22619.47

Step-by-step explanation:

V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]

=π·30^2·24/3

≈22619.46711

Answer:

x because say you have a prime number, 7, a will equal 1 and the other factor is 7 so it must be x

Answer:

[tex]\dfrac xa[/tex]

Step-by-step explanation:

[tex]\text{Let the other factor be k,}\\\\~~~~~~~a \times k =x\\\\\implies k = \dfrac x a\\\\\text{Hence, the other factor is}~ \dfrac xa[/tex]

Answer:

See below ~

Step-by-step explanation:

We need to represent the situations as inequalities.

===============================================================

Students can work no more than 23 hours per week

⇒ Let the hours per week be x

⇒ 'no more than' refers to less than or equal to (≤)

⇒ x ≤ 23

=============================================================

Tutors are required to spend at least 2 hours per week

⇒ At least refers to greater than or equal to (≥)

⇒ x ≥ 2

============================================================

Tutors should spend no more than 7 hours per week

⇒ As mentioned before, no more than refers to less than or equal to (≤)

⇒ x ≤ 7

ae need inequalities

#1

No more than means maximum

#2

At least means minimum

#3

No more than is maximum

h≤7

Answer:

Step-by-step explanation:

A regular pentagon has five interior angles of the same measure.

Then

An interior angle has a  measure of :

540/5 = 108°

Hello, the answer should be [tex]108^o[/tex].

The interior angle of any shape formula, if the geometric shape is regular and the sum of interior angle is known, can be written as;

[tex]Interior=\frac{Sum(angles)}{Side}[/tex]

Regular pentagon has 5 sides.

The sum of interior angles of regular pentagon is [tex]540^o[/tex].

[tex]Result=\frac{540^o}{5}=108^o[/tex]

Good luck! If you have any question(s), then feel free to ask in comments.

Step-by-step explanation:

oh, come on. you can just use common sense.

a local minimum is a point where the curve goes down to, and then turns around and starts to go up again. that point in the middle, where it turns around and does not go down any further, is the minimum.

for the maximum the same thing applies, just in the other direction (the curve goes up and turns around to go back down again).

a)

the local minimum values (y) are

-2, -1

b)

the values of x where it had these minimum values are

-1, +3

Check the picture below.

[tex]y = x\implies y = \stackrel{A}{1}(\stackrel{B}{1}x+\stackrel{C}{0})+\stackrel{D}{0} \\\\\\ \begin{cases} \stackrel{\textit{2 units up}}{D=+2}\\\\ \stackrel{\textit{3 units left}}{C=+3}\\ B=1 \end{cases}\qquad \implies y = \stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+3})\stackrel{D}{+2}\qquad \implies y=(x+3)+2[/tex]

Answer:

x²+9x+8

Step-by-step explanation:

(x)(x+8)+(1)(x+8)

x²+8x + ×+8

x²+9x+8

Hey there!

x = -1 or x = -8 ✅

To solve this equation, you have to use the zero product property.

↳ Ifa product of factors is zero, then at least one of its factors is zero.

Which means that either x + 1 = 0 or x + 8 = 0

⇒ x + 1 = 0

Subtract 1 from both sides :

⇒ x + 1 - 1 = 0 - 1

⇒ x = -1

OR

⇒x + 8 = 0

Subtract 8 from both sides :

⇒x + 8 - 8 = 0 - 8

⇒x = -8

Therefore, x = -1 or x = -8.

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Answer:

Area=18ft^3 Surface Area=44ft^2

Step-by-step explanation:

The formula for area of a rectangular prism is A=lwh. So you just plus that in

Answer:

Volume = 18 cubic feet
Surface Area = 44 square feet
Double width = Double the space

Step-by-step explanation:

Please see attached explanations.

Surface area is the area (one side multiplied by another) of every side of the storage box, added together.
I have labeled each unique pair of sides as a, b, and c. That is top and bottom, left and right side, and front and back side.

Volume is the length multiplied by the width multiplied by the height.

By doubling the width, you are doubling the size of the box in that given direction. You can prove this mathematically by making the width twice of what it was and finding volume again.

The area of the rectangle, as shown in the image given is calculated as: 48 square units.

The area of a rectangle = length × width.

Find the length and width of the rectangle:

Area of rectangle ABCD = 8 × 6 = 48 square units.

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