Sum of two numbers is 95. If one exceeds the other by 25,
find the numbers.

Pls answer

Answer:

38 degrees

Step-by-step explanation:

Angle 6 and the angle that we already know the measurement of are vertical angles.

And vertical angles are always equal to each other, so that means that the measure of angle 6 is also 38 degrees.

Answer:

See attachment for drawing

Step-by-step explanation:

Given

See attachment for sketch of plan

Required

Draw a scaled plan

From the question, the garden has the following dimensions.

5.5m, 5.5m, 4m and 2.5m

Using a scale of 1m : 50 cm units, the above measurements will be represented as:

[tex]5.5m \to \frac{5.5m}{50cm} \to \frac{5.5m}{0.5m} \to 11cm[/tex]

[tex]4m \to \frac{4m}{50cm} \to \frac{4m}{0.5m} \to 8cm[/tex]

[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5cm[/tex]

From the question, we understand that there will be 50cm space between the greenhouse and the edge.

On the scale drawing, this will be represented as:

[tex]50cm \to \frac{50cm}{50cm} \to 1cm[/tex]

From the question, the green house has the following dimensions.

2m, 2.5m

On the scale drawing, this will be represented as:

[tex]2m \to \frac{2m}{50cm} \to \frac{2m}{0.5m} \to 4m[/tex]

[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5m[/tex]

See attachment 2 for scale drawing

Answer:

[tex] \cos(67) = \frac{8}{ac} \\ ac = \frac{8}{ \cos(67) } \\ ac = (20.47443732198)[/tex]

Step-by-step explanation:

Apr=Annual × percentage× rate

7years × 12% × $300

= 36000.

The present value of the annuity will be $135.

The current value of a certain amount in the future by methods of charging compounded interest is known as present value. By using the given information, the present value can be calculated as,

[tex]\rm Present\ Value= FV\ x\ \dfrac{1}{(1+r)^n}\\\\\rm Present\ Value=300\ x\ \dfrac{1}{(1+0.07)^1^2}\\\\\rm Present\ Value=\$135.70[/tex]

Hence, the present value is calculated as above.

Learn more about present value here:

https://brainly.com/question/17322936

#SPJ2

Answer:

x = 11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Geometry

Step-by-step explanation:

Step 1: Define

Identify and set up

[Vertical Angles] 10x - 2 = 108

Step 2: Solve for x

Answer:

3+4i

Step-by-step explanation:

let x be the answer

(3-4i)x=25

x=25/(3-4i)

multiply by the conjugate

x=(25(3+4i))/25

x=3+4i

Step-by-step explanation:

solution

2/7 of 3/4= 2/7×3/4=

(2×3)/ (7×4)

Ans = x= 3+4i

Answer:

20 ≤ y ≤ 70

Step-by-step explanation:

Range is the possible outout values

20 ≤ y ≤ 70

Answer:

[tex]1\frac{7}{12}\quad[/tex]  yards [tex]\left(\mathrm{Decimal:\quad }\:1.58333\dots \right)[/tex]

Step-by-step explanation:

To find how much Andrea started with, subtraction is needed. To subtract, we need to set up fractions;

[tex]4\frac{1}{3}-\frac{11}{4}[/tex]

[tex]4\frac{1}{3}=\frac{4\cdot 3+1}{3}[/tex]

[tex]=\frac{13}{3}[/tex]

[tex]=\frac{13}{3}-\frac{11}{4}[/tex]

Least common multiplier: 3,4 = 12

Adjust fractions based on the LCM

[tex]=\frac{52}{12}-\frac{33}{12}[/tex]

Apply the fraction rule: [tex]\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]

[tex]\frac{52}{12}-\frac{33}{12}=\frac{52-33}{12}[/tex]

[tex]=\frac{52-33}{12}[/tex]

Add the numbers: [tex]52-33=19[/tex]

[tex]=\frac{19}{12}[/tex]

[tex]\frac{19}{12}=1\frac{7}{12}[/tex]

[tex]=1\frac{7}{12}[/tex]

Therefore, Andrea started with [tex]1\frac{7}{12}[/tex] yard material.

Answer:

≈ 11.4

Step-by-step explanation:

Calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (8, 7) and (x₂, y₂ ) = (1, - 2)

d = [tex]\sqrt{(1-8)^2+(-2-7)^2}[/tex]

   = [tex]\sqrt{(-7)^2+(-9)^2}[/tex]

   = [tex]\sqrt{49+81}[/tex]

   = [tex]\sqrt{130}[/tex]

   ≈ 11.4 ( to the nearest tenth )

Answer:

first answer is 65

second answer is 1,100

third answer is 560

Step-by-step explanation:

hope this helps!!!

Answer:

11/8 × 2/3 × 2/1

= (11 × 2 × 2)/(8 × 3)

= 44/24 = 11/6

Answer:

958.99

Step-by-step explanation:

Assuming you meant "hundredth", for the nearest hundredth term you would need to round up to the 2nd number behind the decimal.  The thousandth digit of the number is 9, since 9 is greater than 4, you would need to round up by 1 to get 958.99.

Answer:

Step-by-step explanation:

X^2 and 9 are two squares, while 6 can be obtain my multiplying x and 3 by 2.

so this is a square of a binomial

(x+3)^2

or

(x+3)(x+3)

Answer:

(x+3)², if looking for x, X = -3

Step-by-step explanation:

X²+6x+9 is a perfect square as you immediately can see that 3+3 = 6 and 3*3 = 9.

I used the generic rectangle to solve it, 9 into top right corner and then x² onto the bottom left, multiplying eachother to get 9x² which is formed by 3x and 3x multiplied so you would have (x+3) (x+3).

I'll have a picture.

Answer:

w(w² + 3)

Step-by-step explanation:

Given the expression

w³ + 3w

Since w is common to the terms w³ and 3w, we will factor it out from the expression as shown;

w³ + 3w

w(w²)+ 3(w)

w(w² + 3)

This gives the required expression

Question is ;

Complete question is;

Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5 feet every 36 hours. Buffalo accumulates snow at a rate of 0.01 inches every minute.

Which city accumulates more snow in 3 days? How much more snow?

Answer:

- Boston accumulates more snow in 3 days.

- It accumulates 0.6 ft of snow more than Boston

Step-by-step explanation:

Boston accumulates 1.5 feet of snow every 36 hours.

Number of hours in 3 days = 24 × 3 = 72 hours.

Thus, In 72 hours, Boston would have accumulated; (1.5 × 72)/36 = 3 feet of snow.

Now, Buffalo accumulates 0.01 inches of snow every minute.

In 3 days, number of minutes we have = 60 × 24 × 3 = 4320 minutes

Thus, total snow accumulated in 3 days = 0.01 × 4320/1 = 43.2 inches

Now, let's convert this to ft;

12 inches = 1ft

Thus; 43.2 inches = 43.2 × 1/12 = 3.6ft

Thus, Buffalo accumulates more snow in 3 days.

It accumulates 0.6 ft of snow more than Boston

Step-by-step explanation:

Answer:

a.7(6xy-2z)

=7*6xy-7*2z

=42xy-14z

b.5(2w+3)-6(w+2)

=5*2w+5*3-6*w-6*2

=10w+15-6w-12

=4w+3

c.2f(2f+g-3)

=2f*2f+2f*g-2f*3

=4f^2+2fg-6f

Step-by-step explanation:

Answer:

1) 42xy-14z

2) 10w + 15- 6w - 12 = 4w + 3

3) 4f^2+2fg-6f

Step-by-step explanation:

Hope this helps!

Given:

11 less than four times a number is the same as 46 less than the product of -1 and the number.

To find:

The missing number.

Solution:

Let x be the missing number.

Four times a number = 4x

11 less than four times a number = 4x-11

Product of -1 and the number = (-1)x

                                                 = -x

46 less than the product of -1 and the number = -x-46

The given statement is "11 less than four times a number is the same as 46 less than the product of -1 and the number". So,

[tex]4x-11=-x-46[/tex]

[tex]4x+x=11-46[/tex]

[tex]5x=-35[/tex]

Divide both sides by 5.

[tex]x=\dfrac{-35}{5}[/tex]

[tex]x=-7[/tex]

Therefore, the missing number is -7.

Answer:

Finding the area of a large rectangle is A = l × b

Step-by-step explanation:

A= Area, while I=length and B= the base, the way to find the area of the big one is by finding the area of the small ones first then adding them together,

Example: (a=lxb) + (a=lxb) = Area of big rectangle

Answer:

9,900 millimeters squared

Step-by-step explanation:

Hope that helped

Answer:

1 inch =  3 feet

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

6 /2 = 3

1 in = 3 feet

Answer: A toy airplane costs $6

Step-by-step explanation: Because 4 toy cars cost $8 , then there are $30 for 5 toy planes. One toy plane cost 30/5 = $6

Answer:

76cm^2

Step-by-step explanation:

Can be divided in three parts

Part 1; Area= 6×2

=12cm^2

Part 2; Area= 2×2

=4cm^2

Part 3; Area= 10×6

=60cm^2

Add them; 60+4+12

76

Answer:

area 1

10x6

=60

area 2

2x4

=8

area 3

2x4

=8

total area is 60+8+8

total area is 76m²

Answer:

j= -10/3

Step-by-step explanation:

j - 2 + 7 = - 12 - 2j + 7

*add -2 and 7 to get 5

j + 5 = -12 - 2j + 7

*add -12 and 7 to get -5

j + 5 = -5 - 2j

*add 2j to both sides

3j + 5 = -5

*subtract 5 from both sides

3j = -10

*divide both sides by 3

j= -10/3

Answer:

(0.30, 0.42)

Step-by-step explanation:

i took the test :)