find the value of the angle rounded to 1 DP

Answer:

The area of the circular garden is approximately 7.1 square yards

Step-by-step explanation:

The given parameters are;

The area surrounding the circular garden = A rectangular grassy area

The area of the circular garden ≈ (1/2) × The base of the grassy rectangular area

The dimensions of the base of the rectangular grassy area = 6 yards by 3 yards

The diameter of the circle, D = 3 yards

The area of the rectangular grassy area = 6 yards × 3 yards = 18 yards²

∴ The approximate area of the circular garden = (1/2) × 18 yards² = 9 yards²

The area of the circular garden, A = π·D²/4

∴ A = 3.14 × (3 yards)²/4 = 7.065

The area of the circular garden, A ≈ 7.1 yd².

Answer:

y = -50x +775

Step-by-step explanation:

Answer:

triangle - 7

Step-by-step explanation:

Because Evan has 7 less pencils than isiah, the number of pencils evan has can be determined by subtracting 7 from the number of pencils isaish has

triangle - 7

If evan had 7 more pencils : triangle +  7

Answer:

John's share = £72

Kate's share = £108

Step-by-step explanation:

Given:-

Share amount of John and Kate = £180

Share amount given in ratio = 2:3

Find:-

Work out how much money each person

receives.

Solution:-

Ratio:

John        Kate

 2        :      3

Add the ratio:

2 + 3 = 5

Divide the total amount from the added ratio:

180 / 5 = 36

Each part of the ratio is 36.

John's amount:

{multiply 36 with 2}

36 × 2 = £72

Kate's amount:

{multiply 36 with 3}

36 × 3 =  £108

(CHECK:- £108 + £72 = £180 )

Answer:

y = ( x-4)(x+7)

Step-by-step explanation:

When we know the zeros of the equation, we can write the equation in the form

y= a(x-z1) (x-z2)   where a is a constant and z1 and z2 are the zeros (solutions)

y = a( x-4)(x--7)

y =a( x-4)(x+7)

Since its says write an equation, we can pick a and I will let a=1

y = ( x-4)(x+7)

Answer:

[25+(-13)+(-17)

25-13-17

-5

Answer:

-1/3

(the second choice)

The value of x is 13 in the rhombus ABCD

A quadrilateral is a four-sided polygon, having four edges and four corners

In figure ABCD is a rhombus

Given as Angle ∠ A = (5x + 25)

Angle ∠ D = (7x - 1)

Since adjacent angles of a rhombus add up to 180°

(5x + 25) + (7x - 1) = 180 and both equal

So, 5x + 25 = 7x - 1

Rearrange the terms in the equation,

7x - 5x = 1 +25

2x = 26

x = 13

Hence, the value of x is 13 in given figure.

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Answer:

∅ = 44.9º

Step-by-step explanation:

sin = opp/hyp

Assuming ∅ is the top angle

∅ = arcsin(353/500)

use calculator

∅ = 44.910389254710144

∅ = 44.9º

Answer:

3.3333 (repeating)

Step-by-step explanation:

He has 50 missing assignments and 15 days to do them.

So you do 50 missing assignments divided by 15 days, to see how many assignments a day he would have to do.

50 / 15 = 3.33 (repeating)

Answer:

3.333333333333333

Step-by-step explanation:

You will have to divide 15 by 50 to get the answer. That will give you 3.333333333333333 which is your answer.

Step-by-step explanation:

it's called answer is minus 7

Answer:

[tex]{ \tt{f(x) = 5x + 3}} \\ { \tt{f( - 2) = 5( - 2) + 3 }}\\ { \bf{f( - 2) = - 7}}[/tex]

Answer:

i guess you'll get that answer

Step-by-step explanation:

if xy is 3cm then y is 3 divide by 2

where y=

then if xyz=30 to get z you divide 30 by 3

where z=

then x will surely be the same value as y

so u solve for yz=x

Answers:

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

Explanation:

Answer:

-2

Step-by-step explanation:

x = the number

difference refers to subtraction

(8*x) - 3 = -19

8x - 3 = -19

      + 3   + 3

8x = -16

/ 8    /8

x = -2

Hope that helps!

Answer:

- 2

Step-by-step explanation:

let the number be n , then

8n - 3 = - 19 ( add 3 to both sides )

8n = - 16 ( divide both sides by 8 )

n = - 2

The number is - 2

Answer:

56851200

Step-by-step explanation:

The expanded form of the number is 5000 + 600+ 80 + 5 + 0.1 + 0.02 and the number is 5685.12

A number is a mathematical entity that can be used to count, measure, or name things. For an example, 1, 2, 56 etc. are the numbers.

It is given that:

The word expression:

"five thousand six hundred eighty-five and twelve hundredths"

The number would be:

= 5685.12

In the expanded form the number can be written as:

The expanding form can be used to indicate the value of each digit in a number in arithmetic.

Numbers that are expressed as the sum of each digit multiplied by its place value are known as expanded numbers.

Expanded Form:

5685.12 = 5000 + 600+ 80 + 5 + 0.1 + 0.02

Thus, the expanded form of the number is 5000 + 600+ 80 + 5 + 0.1 + 0.02 and the number is 5685.12

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Step-by-step explanation:

When X is - 5 then y is 3

When X is-1 then y is - 2

When X is 3 then y is -4

From the graph we get, when x is - 5 then y is 3, when x is -1 then y is - 2, and when x is 3 then y is -4.

A point is a dot in space used to indicate an exact location in space.

Consider the first line, which has constant y values. its x value ranges from -1 to negative infinity.

The second line is starts from (-1,-2) point and tend towards positive infinity but its y values and x values are varying.

Hence, when x = -5 y is 3 and at x = -1 the y values is -2. Similarly, when x = 3 then y = -4.

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Answer:

Simultaneous equations

Step-by-step explanation:

4a + 7m = 17.75

2a + 5m = 10.75

Double the 2nd equation and then subtract the two equations to cancel the 4a out

Work with the 'm' terms and find the value of m

After finding the value of 'm', substitute it into one of the original equations (the ones given in the question) and solve to find the value of 'a'

Hope this helped

Answer:

The height of the tree is 6.12 meters and the height of the building is 33.12 meters.

Step-by-step explanation:

Since the person is 1.8 meters tall, HC = 1.8

And since their shadow is 10 meters long, HD = 10.

We are also given that GH is 24 meters and that FG is 150 meters.

Height of the Tree:

The height of the tree is given by GB.

Again, since m∠BGD = m∠CHD = 90°, ∠BGD ≅ ∠CHD.

Likewise, ∠D ≅ ∠D. So, by AA-Similarity:

[tex]\displaystyle \Delta BGD\sim \Delta CHD[/tex]

Corresponding parts of similar triangles are in proportion. Therefore:

[tex]\displaystyle \frac{GB}{GD}=\frac{HC}{HD}[/tex]

Note that:

[tex]GD=GH+HD[/tex]

Find GD:

[tex]GD=(24)+(10)=34[/tex]

Substitute the known values into the proportion:

[tex]\displaystyle \frac{GB}{34}=\frac{1.8}{10}[/tex]

Cross-multiply:

[tex]10GB=61.2[/tex]

Therefore:

[tex]GB=6.12\text{ meters}[/tex]

The height of the tree is 6.12 meters.

Height of the Building:

The height of the building is given by FA.

Since m∠AFD = m∠CHD = 90°, ∠AFD ≅ ∠CHD.

∠D ≅ ∠D. So, by AA-Similarity:

[tex]\Delta AFD\sim \Delta CHD[/tex]

Corresponding parts of similar triangles are in proportion. Therefore:

[tex]\displaystyle \frac{FA}{FD}=\frac{HC}{HD}[/tex]

Note that:

[tex]FD=FG+GH+HD[/tex]

Find FD:

[tex]FD=(150)+(24)+(10)=184[/tex]

Substitute the known values into the proportion:

[tex]\displaystyle \frac{FA}{184}=\frac{1.8}{10}[/tex]

Cross-multiply:

[tex]10FA=331.2[/tex]

Therefore:

[tex]FA=33.12\text{ meters}[/tex]

The height of the building is 33.12 meters.

Answer:

Step-by-step explanation:

100 sq cm

Answer:

5x^2+10x+6

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

To find the percent change, we first have to find the amount changed, which is (46000-42500) = 3500. Then, we find what percentage that is of the original amount. Remember that when calculating percentage change, it's important to calculate change with respect to the initial value.

To find the percentage, we can divide 3500 by 42500, and multiply that by 100, resulting in 8 being our nearest whole percent

Answer:

a,

Step-by-step explanation:

Answer:

Step-by-step explanation:

4986 ounces/m³

Step-by-step explanation:

1 kilogram = 35.274 ounces

1 cubic foot = 0.0283 cubic metre

We are converting kg/ft³ to ounces/m³

Hence:

4kg/ft³ × 35.274 ounces/ 1 kg × 1 ft³/0.0283m³

= 4985.7243816 ounces/m³

Approximately to the nearest whole number = 4986 ounces/m³

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The density of the material is approximately 123 ounces per cubic meter.

Density [tex](\(D\))[/tex] is defined as mass [tex](\(m\))[/tex] per unit volume [tex](\(V\))[/tex], and it is calculated using the formula:

[tex]\[ D = \frac{m}{V} \][/tex]

In this case, the density is given in kilograms per cubic foot. To convert this to ounces per cubic meter, we need to perform the following steps:

Step 1: Convert kilograms to ounces:

1 kilogram = 35.27396 ounces

Step 2: Convert cubic feet to cubic meters:

1 cubic foot = 0.0283168 cubic meters

Now, let's substitute the given values and perform the conversion:[tex]\[ \text{Density in ounces per cubic meter} = \frac{4 \, \text{kg} \times 35.27396 \, \text{ounces/kg}}{1 \, \text{cubic foot} \times 0.0283168 \, \text{cubic meters/cubic foot}} \][/tex]

Solving this equation gives us the density in ounces per cubic meter:

[tex]\[ \text{Density} \approx 123 \, \text{ounces/m}^3 \][/tex]

Rounded to the nearest whole number, the density of the material is approximately 123 ounces per cubic meter.

In summary, we converted the given density from kilograms per cubic foot to ounces per cubic meter using unit conversions.

This involved converting the mass units and volume units before performing the calculation to obtain the final density value in the desired units.

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Answer:

58.33%

Step-by-step explanation:

A's Contribution = 2700

B's Contribution= 1800

Ratio = 7:5

Profit = 900

Total Ratio = 7+5 = 12

First , Calculate both share of the profit.

A's Share= 7/12 ×900

525

B's share= 5/12 ×900

375

Now , express A's Share as a percentage

A's Share= 525/900 ×100

58.33%

Answer:

6

Step-by-step explanation:

Arc length ACB = 6 pi

The arc length = fraction of a circle times the circumference

6 pi = 180/360 * 2 * pi *r

6 pi = 1/2 * 2 * pi*r

6 pi =  pi r

The radius is 6

Answer:

1000 cubic metre

Step-by-step explanation:

hopes it help

Answer:

solution,

length=10 cm

volume=?

now,

volume of cube=l×l×l

=10×10×10

therefore,the answer is 1000 cubic centimeter