When planning a trip, which of the following is not included in the budget?
A. Security check at the airport
B. Food
C. Lodging
D. Gasoline

Answer:

circumference (c) = 43.96cm

Area (A) = 615.44cm²

Step-by-step explanation:

Here,

Radious (r) = 7 cm

circumference (c) = [tex]2\pi r[/tex]

                            = 2×3.14×7

                            =43.96cm

Area (A) = [tex]4\pi r^{2}[/tex]

              = 4×3.14×7²

               =12.56×49

               = 615.44cm²

Answer:

area:153.86m²

circumfrence:43.96m

Step-by-step explanation:

Answer:

A. 3x+4y= 7.25

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

1/20

Step-by-step explanation:

1/10x5/10=5/100=1/20

Answer:

B- 18

Step-by-step explanation:

it occured twice and the rest occurred only once.

Have a great day.

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Answer:So, the prime factors of 90 are 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3 and 5 are the prime numbers.

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

there is 1.5 cups of sugar for each cup of flour

1.5x5=7.5

Answer:

7.5 cups of sugar

Step-by-step explanation:

3/2 = 1.5 (this means there is 1.5 cups of sugar for every one cup of flour)

5 * 1.5 = 7.5

Answer:

D.)  4

Step-by-step explanation:

Here,

1.25(4x-10)=7.5

5x-12.5=7.5

5x=7.5+12.5

x=20/5

x=4

Answer:

g≥-20

Step-by-step explanation:

The quotient of a number g and -4 is expressed as;

g/-4

If the quotient of a number g and -4 is at most 5, this is expressed as;

g/-4 ≤ 5

Multiply both sides by -4

g/-4 * -4 ≤ 5 * -4

g *  ≥ -20

Hence the required solution is g≥-20

Answer:

3. 3 and 4

4. √9+√2, 8/3, √5 - 5, -π

Step-by-step explanation:

3. √46/2 is 3.39... which is between 3 and 4

4. √9+√2=4.4..

8/3=2.6...

√5-5= -2.7..

-π= -3.14..

(hope this helps :P)

Answer:

32

Step-by-step explanation:

you have to find how many min in a hour so 20 divided by 5 is 4 then 4x8 is 32

Answer:

x/sin35=24/sin90

24sin35=xsin90

x=24×0.5736

x=13.7658

to the nearest tenth=13.8

Answer:

Its i think 549

Step-by-step explanation:

Answer:

[tex]4^2=5^2+7^2-2(5)(7) cos A\\\\[/tex]

[tex]A=34.0^o[/tex]

-----------------

[tex]\frac{4}{Sin34^o} =\frac{5}{SinB} \\\\[/tex]

[tex]B=44.4^o[/tex]

--------------

[tex]7^2=4^2+5^2-2(4)(5)CosC[/tex]

[tex]C= 101.5^o[/tex]

[tex]---------[/tex]

hope it helps...

have a great day!!

All the missing elements of the triangle by the Cosine rule are A = 40°, B = 45°, and C = 102°.

Given that,

Three sides on a triangle are,

a = 4

b = 5

c = 7

Used the formula of the Cosine rule which states that,

a² = b² + c² - 2bc cos A

b² = a² + c² - 2ac cos B

c² = a² + b² - 2ab cos C

Where, a, b, and c are three sides and A, B, and C are angles of a triangle.

Now, apply the Cosine rule to find the all angles of a given triangle,

a² = b² + c² - 2bc cos A

Substitute a = 4, b = 5 and c = 7,

4² = 5² + 7² - 2 × 5 × 7 cos A

16 = 25 + 49 - 70 cos A

70 cos A = 74 - 16

70 cos A = 58

Divide both sides by 58,

cos A = 58/70

cos A = 0.83

A = cos ⁻¹ (0.83)

A = 33.9°

Round to the whole number,

A = 40°

b² = a² + c² - 2ac cos B

Substitute a = 4, b = 5 and c = 7,

5² = 4² + 7² - 2 × 4 × 7 cos B

25 = 16 + 49 - 56 cos B

25 = 65 - 56 cos B

56 cos B = 65 - 25

56 cos B = 40

cos B = 40/56

cos B = 0.71

B = cos ⁻¹ (0.71)

B = 44.7°

Round to the whole number,

B = 45°

c² = a² + b² - 2ab cos C

Substitute a = 4, b = 5 and c = 7,

7² = 4² + 5² - 2 × 4 × 5 cos C

49 = 16 + 25 - 40 cos C

49 = 41 - 40 cos C

40 cos C = 41 - 49

40 cos C = - 8

cos C = - 8/40

cos C = - 1/5

cos C = - 0.2

C = cos ⁻¹ (0.2)

C = 101.5°

Round to the whole number,

C = 102°

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Answer: -4

Step-by-step explanation:

f(x) = -x+2

-6+2

=-4

Answer:

5 < x < 13

Step-by-step explanation:

9+4 > x

4 + x > 9

Answer:

One solution

Step-by-step explanation:

Let's solve your equation step-by-step.

p+9=2p−3

Step 1: Subtract 2p from both sides.

p+9−2p=2p−3−2p

−p+9=−3

Step 2: Subtract 9 from both sides.

−p+9−9=−3−9

−p=−12

Step 3: Divide both sides by -1.

−p

−1

=

−12

−1

p=12

Answer:

p=12

Answer:

one solution

Step-by-step explanation:

2p-p=9+3

p=12

so

just one solution

Answer:

100 Minutes.

Step-by-step explain:

25 divided by 3 = 8.33333333333, So, 8.3 minutes to paint one section at a time. So, 8.3 x 12 = 99.6. So, 99.6 rounded since the last number is higher than 5 it would go to the next number. So, rounded its 100 minutes.  100 minutes for Angela to paint 12 sections.

Given:

The graph of two function f(x) and g(x).

To find:

The value of f(4) and the value of x if g(x)=2.

Solution:

In the given graph red curve is the graph of f(x) and the blue curve is the graph of g(x).

From the given graph it is clear that the value of the function f(x) at x=4 is -10. So,

[tex]f(4)=-10[/tex]

From the given graph, it is clear that the value of function g(x) is 2 at x=0. So,

[tex]g(x)=2,x=0[/tex]

Therefore, the value for the first blank is -10 and the value for the second blank is 0.

Answer:

the selling price of the office equipment is R3040

Step-by-step explanation:

original price of the office equipment, C = R3800

discount for the selling price, d = 20% = 0.2

Discounted amount = 0.2 x R3800

                                 = R760

The selling price of the office equipment is calculated as follows;

The selling price = original price - discounted amount

The selling price = R3800 - R760

                             =  R3040

Therefore, the selling price of the office equipment is R3040

Answer:

D. ∆ABC ~ ∆DEF

Step-by-step explanation:

The triangles given shows that the three corresponding angles of both triangles are congruent to each other. This means that they have the same shape but different size.

Triangles that are congruent to each other have the same shape and the same size while triangles that have the same shape but different size are similar to each other.

Therefore, ∆ABC is similar to ∆DEF (∆ABC ~ ∆DEF).

Answer:

The answer is A, the first one 3÷1/3 =9