the hcf and lcm of 180, 150 and 315​

Answer:

Step-by-step explanation:

A triangular pyramid has 6 edges, 4 vertices, and 1 base

Answer:

5,630.81$

A = 5000(1 + (0.04 × 3)) = 5600

A = $5,630.81

Answer: 17, 13, 9, 5, 1

Step-by-step explanation:

y=-2(-2) + 9 = 13

y=-2(0) + 9 = 9

y=-2(2) + 9 = 5

y=-2(4) + 9 = 1

Answer:

area: 5×27÷2

perimeter:8+27+34

Answer:

[tex]20cm^2[/tex]

Step-by-step explanation:

We are talking of a linear scale ie 1 cm = 50 cm

So if the real yacht length is 10 meters(10,000 cm), then the model length will be 10000/50 = 200 cm

However, when talking about areas, the scale factor is different. We cannot simply divide 5m by 50

Let's say the sail height is 1 meter and the sail width is 5 meters which will give a sail area of 5 sqm.

The scaled height would be 100/50 = 2cm and scaled width will be 500/50 = 10 cm

So the area of the sail on the model will be 2 x 10 =200 square cm

In short, area of sail on model = (area of sail on real yacht( ÷ (50 x 50)

Since there are 10,000 square cm to 1 square meter we get the answer as 5 x 10000/2500 = 20 square cm

Answer:

28 cm

Step-by-step explanation:

let the unknown side be x , then

using Pythagoras' identity in the right triangle

x² + 21² = 35²

x² + 441 = 1225 ( subtract 441 from both sides )

x² = 784 ( take square root of both sides )

x = [tex]\sqrt{784}[/tex] = 28

Answer:

the unknown side is 28

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2} \\c = 35\\a = 21\\21^{2} + b^{2} = 35^{2}\\441 + b^{2} = 1225\\b^{2} = 1225 - 441\\b^{2} = 784\\b = \sqrt{784} \\b = 28[/tex]

The solid was obtained by rotating the region bounded by x² = 27y, x = 0, and y = 1 about the y-axis is 42.411 cubic units.

It is the reverse of differentiation.

Consider the solid obtained by rotating the region bounded by the given curves about the y-axis.

[tex]\rm x = 3\sqrt{3y} \ or \ x^2 = 27y[/tex]

x = 0, and y = 1

Then the volume of the solid will be

[tex]\rm Volume = \int _{0}^{1} \pi x^2 dy\\\\Volume = \int _{0}^{1} \pi 27y dy\\\\Volume = 27\pi \int _{0}^{1} \ ydy\\\\Volume = 27 \pi [\dfrac{y^2}{2}] _{0}^{1}\\\\[/tex]

[tex]\rm Volume = 13.5 \times \pi \times [y^2] _{0}^{1}\\\\Volume = 13.5 \times \pi \times (1^2 - 0^2)\\\\Volume = 42.411 \ cubic \ units[/tex]

More about the integration link is given below.

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Answer:

144

Step-by-step explanation:

In a regular decagon like the one shown in the picture each angle is 144 degrees and it all adds up to 1,440. If you want proof search up "angle of a decagon"

Answer:

y = 1/2x + 0.5

or

y = 1/2x + 1/2

Step-by-step explanation:

y = mx + b

b is y-intercept:

when x = 0, y = 0.5 (when the line cross the vertical (y) axis of the graph)

the point is (0, 0.5) so b = 0.5

m is slope:

slope = rise / run

rise = 1

run = 2

for every 2 x values, y increase by 1

slope (m) = 1/2

Step-by-step explanation:

let the big cube side be b

small cube side be s

s = 2/3 * b

bv + sv = 118.125

b^3 + 8/9 b^3= 118.125

17 b^3/8 = 118.125

b^3 = 55.58

b = 3.816in

s = 2.544in

The quadrilateral is a trapezoid and the area of the quadrilateral is 85.04 square units

The vertices are given as:

A:(-2, 3) B:(4, -6) C:(10, 2) D:(6, 8)

Next, we plot the vertices (see attachment)

From the attached graph, we can see that the quadrilateral is a trapezoid

From the plot, we have the following features:

Height: AD

Parallel sides: CD and AB

Calculate the lengths using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]AD = \sqrt{(-2 -6)^2 + (3 -8)^2}[/tex]

[tex]AD = \sqrt{89}[/tex]

[tex]CD = \sqrt{(10 -6)^2 + (2 -8)^2}[/tex]

[tex]CD = \sqrt{52}[/tex]

[tex]AB = \sqrt{(-2 -4)^2 + (3 +6)^2}[/tex]

[tex]AB = \sqrt{117}[/tex]

The area is then calculated as:

Area = 0.5 * (CD + AB) * AD

This gives

Area = 0.5 * (√52 + √117) * √89

Evaluate

Area = 85.04

Hence, the area of the quadrilateral is 85.04 square units

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Answer:

y=4√x

Step-by-step explanation:

[tex]y = k \sqrt{x} [/tex]

[tex]24 = \sqrt{36} k[/tex]

[tex]24 = 6k[/tex]

[tex]k = 4[/tex]

[tex]y = 4 \sqrt{x} [/tex]

Answer:

V = 36π x 14

Step-by-step explanation:

The volume of a cylinder can be found by multiplying the base area and the height. Therefore, the following equation can be written:

V = 36π x 14

Answer:

Option 4

Step-by-step explanation:

Formula for volume of a cylinder :

Volume = Base Area x Height

Hence :

⇒ V = 36π x 14

Answer:

B:Similar :SAS

Step-by-step explanation:

The Angle-Side (SAS) Similarity Theorem states that  If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar.

In the given triangles <B=<E= 40 °

Or,

Hence triangle ABC~ Triangle DEF by SAS similarity theorem.

Give brainliest :)

Option B is correct, by SAS postulate the triangles ABC and DEF are similar.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

ABC and DEF  are similar triangle as the corresponding angles are congruent and the corresponding sides are in proportion .

If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, then the two triangles are congruent.

Hence, by SAS postulate the triangles ABC and DEF are similar.

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Answer:

A: 0.3318 m^2  P: 2.66

Step-by-step explanation:

The perimeter is only adding each of the side lengths, so that's not much of an issue. The equation for the area of a triangle is A = (b x h)/2, with "b" being the base length and "h" representing the triangle's height. We must first multiply the base and height, 0.84 x 0.79. This makes 0.6636 which we will then divide by 2. Our area is now proven to be 0.3318 square meters.

so let's say the sale price is "P", so Nicole would want to know how much will it be P discounted by 18% of P.

Well, the sale price will just be P or 100% of P, minus 18%, the discounted price will be 100% - 18% = 82%, so the discounted price will be 82% of P.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{82\% of P}}{\left( \cfrac{82}{100} \right)P}\implies \boxed{0.82}\cdot P\qquad \impliedby \textit{discounted price}[/tex]

Answer:

113.1cm2

Step-by-step explanation:

looked it up

Answer:

in 2nd figure will mean greater

Answer:

its the 4th one hopes this help

s

Step-by-step explanation:

[tex]\text{Slope- intercept form is y =mx+c, where m is the slope and c is the y-intercept.}\\ \\\textbf{1)}\\\\~~~~~3x = -8+y\\\\\implies y = 3x +8\\\\\textbf{2)}\\\\~~~~~9=3x+3y\\\\\implies 3y= 9-3x\\\\\implies y= \dfrac 13(9-3x)\\\\\implies y= 3-x\\\\\implies y= -x+3\\\\\textbf{3)}\\\\~~~~~~4y-10 = 20x\\\\\implies 4y = 20x +10\\\\\implies 2y = 10x +5\\\\\implies y = \dfrac 12(10x +5)\\\\\implies y= 5x +\dfrac 52[/tex]

hope this helps :)

.........

Answer:  4(8 + 3x)

To Find :  Describe the two factors in this expression

How many terms are in each factor of this expression

coefficient of the variable term

Solution:

4(8 + 3x)  

two factors in this expression  are

4  and ( 8 + 3x)

terms  in each factor of this expression

1 term in 4

2 terms in (8 + 3x)

coefficient of the variable term is 3   in factorized form

4(8 + 3x) =   32 + 12x

and coefficient of the variable term is 12   in expanded form

learn More:

find the value of x by factorization, x2-8x+1280=0 - Brainly.in

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Using factor theorem, factorize each of the following polynomial ...

brainly.in/question/15904651

Factorise: 1. a3 – 4a2 + 12 – 3a 2. a3x – x4 + a2x2

Step-by-step explanation:

Answer:

17/28

60.7%

17:28

11/28

39.3%

11:28

Difference:  [tex]\frac{3}{14}[/tex]

Explanation:

A fraction can be turned into a percent by dividing the numerator by the denominator and multiplying the result by 100%.

For example:

17/28 = 0.607

0.607 * 100% = 60.7%

A fraction can be turned into a ratio by writing it like this:

numerator:denominator

For example:

11/28

11:28

To find the difference between 2 fractions with the same denominator, simply subtract the 2 numerators.

For example:

[tex]\frac{17}{28} - \frac{11}{28}[/tex]

You subtract 11 from 17, then put the resulting 6 in the fraction with the same denominator. This results in [tex]\frac{6}{28}[/tex] which can be simplified to [tex]\frac{3}{14}[/tex].

- Kan Academy Advance

Answer:

[tex]|-a| =a[/tex]

Step-by-step explanation:

6 bowls can hold 16 tomatoes.

Given:

Total tomatoes: 16

Each bowl holds: 3 tomatoes

Explanation:

To find the number of bowls needed divide total tomatoes by tomatoes each bowl can hold.

Solve:

16 ÷ 3 = 5.333...

So, we need more than 5 bowls, [6 bowls] to hold the tomatoes.

Answer:

6 bowls

Step-by-step explanation:

So . .

Then . .

Reason. .

Because you must be able to hold all 16! Therefor you round!

Hope this helps!  

Answer:

1075

Step-by-step explanation:

Let us say pi/ is 3.14

Diameter is radius times 2, so the radius is half of 37(aka 18.5)

A = n[tex]x^{2}[/tex]

A = 3.14 x 18.5²

A = 3.14 x 342.25

A =  1074.665

snice 6 > 4

A = 1075

Answer:

ruler: £0.50

pencil: £0.45

Answer:

34494.79

Step-by-step explanation:

round it up to the nearest cent

hope this helps

pls mark brainliest

Old coordinate (0,-1)

New coordinate (1,0)

The translation is

Verification

Image of (0,-1) is (0,1)

Image of (1,0) is (-1,0)

Answer:

(x + 1, y + 1)

Step-by-step explanation:

Translation of x-coordinate :

Translation of y-coordinate :

Hence, the points which describes the change :

The line perpendicular to y - 3 = 4(x+2) is y-3 = -1/4(x+2)

Two lines are said to be perpendicular if the product of their gradient is -1.

which means m1 x m2 = -1

Analysis:

y - 3 = 4(x+2)

y = 4x + 8+3

y = 4x + 11    m1 = 4

so m1 x m2 = -1

m2 = -1/4

so from the options, the equation with a gradient x = -1/4 is C, y-3 = -1/4(x+2)

In conclusion, the line that would be perpendicular to y - 3 = 4(x+2)

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