The length of the
hypotenuse of a right-
angled triangle is 7.8 cm,
correct to 1 decimal place.
One of the shorter side
lengths is 2.1 cm, correct
to 1 decimal place. Estimate
the length of the remaining
side, rounding your answer
to 1 decimal place.

Answer:

116°

Step-by-step explanation:

(Angle sum property of a triangle = 180°)

angle A + angle C + angle ABC = 180°

66° + 50° + angle BAC = 180°

116° + angle ABC = 180°

angle ABC = 180° - 116°

angle ABC = 64°

angle ABD + angle ABC = 180°

angle ABD + 64° = 180°

angle ABD = 180° - 64°

angle ABD = 116°

So, the measure of the unknown angle is 116°

Answer:

6

Step-by-step explanation:

To find the mean, you add up all the numbers and divide that by the number of numbers there are.

In this case, the total is [tex]3+8+7+2+9+6+6+7=48[/tex]

There are 8 numbers.

Thus, the mean is 48 ÷ 8 = 6

Hey there!

When you hear/see the word “mean” in mathematics it usually means “average” or “total”.

Formula: sum of the total numbers ÷ total numbers in the data plot

YOUR EQUATION:

3 + 8 + 7 + 2 + 9 + 6 + 6 + 7 ÷ 8

= 11 + 7 + 2 + 9 + 6 + 6 + 7 ÷ 8

= 18 + 2 + 9 + 6 + 6 + 7 ÷ 8

= 20 + 9 + 6 + 6 + 7 ÷ 8

= 29 + 6 + 6 + 7 ÷ 8

= 35 + 6 + 7 ÷ 8

= 41 + 7 ÷ 8

= 48 ÷ 8

= 6

Therefore, your mean is: 6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

0.08

Step-by-step explanation:

the orange circle is all people who like iced coffee, since we want the probability of liking only iced coffee, we need to look at the part of the orange circle not overlapping with the blue circle. this is 0.08

Answer:

X=30

Step-by-step explanation:

(2X + 6) + 36 = (4X- 18)

36=4X-18-2X-6

36=2X-24

2X = 60

X = 30

wELCOME

This is the ANSWER

Answer:

17.999999999999999

Step-by-step explanation:

Answer:

25 and 1/12

1/3+1/3+2/3+1/2+1/2+3/4 = 4 and 1/12

6+5+4+3+2+1 = 21

Answer:

1:3

Step-by-step explanation:

Since your scaling down you divide the smaller number by the larger number

7/21=1/3

=1:3

Hope this helps :)

Answer:

the answer is D Because

Step-by-step explanation:

so I will say about $3.74

Answer:

Step-by-step explanation:

Slope: 3/1 (positive: line go uphill)

y-intercept: -5

Place your pencil on the vertical line (y) on -5. Go up 3 units and 1 to the right, repeat and trace the line (actually you only need two points to trace a line)

[tex] \: \: \: \: \: \: [/tex]

[tex] = 3a ^{4} \times (7 {a}^{5} - 2)[/tex]

Step-by-step explanation:

[tex]21 {a}^{9} - 6 {a}^{4} [/tex]

[tex] = 3 {a}^{4} \times (7 {a}^{5} - 2)[/tex]

[tex] \: \: \: \: \: \: [/tex]

Answer:

y = 9/10x - 7/5

Step-by-step explanation:

Slope = 9/10

Point (6,4)

y-intercept = 4 - (9/10)(6) = 4 - 54/10

= - 7/5

Answer:

a. = 36km

b. Perimeter = 108km

c. Area = 486km^2

Step-by-step explanation:

Pythagoras theorem

a^2 + b^2 = c^2

27^2 + b^2 = 45^2

b^2 = 45^2 - 27^2

b^2 = 1296

b = [tex]\sqrt{1296}[/tex]

b = 36km

Perimeter

a + b + c

27 + 36 + 45 = 108

Perimeter = 108km

Area = [tex]\frac{ab}{2}[/tex]

Area = [tex]\frac{27 * 36}{2}[/tex]

Area = [tex]\frac{972}{2}[/tex]

Area = 486km^2

Answer:

2+1×2=6

6+1×2=14

14+1×2=30

And so on

Answer:

43 cm

Step-by-step explanation:

If the longest side of the triangle is 8 cm longer than five times the shortest side

5s + 8

the third side is 7 cm less than four times the shortest side

4s - 7

The perimeter of a triangle is 71 cm

s + (4s - 7) + (5s + 8) = 71

Combine like terms

10s + 1 = 71

Subtract 1 from both sides

10s = 70

divide both sides by 10

s = 7

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

How long is the longest side of the triangle

5s + 8

5(7) + 8

35 + 8

43

_1,0,1 are possible value of n

Answer:

-5/4 or -1 1/4

Step-by-step explanation:

Okay! We'll take this problem one part at a time so that the process is less confusing and less difficult. Here's what our expression looks like when we replace x with 3/2 and y with -5/4:

[tex]4(-\frac{5}{4} )(\frac{3}{2} +-\frac{5}{4} )[/tex]

Looks a little scary! We can start by working within the parentheses and adding the two fractions together. First, we have to make each fraction have the same denominator, so we can multiply each fraction by 3/2 to get both our fractions a denominator of 4.

[tex]\frac{3}{2} *\frac{2}{2} =\frac{6}{4}[/tex]

[tex]\frac{6}{4} + -\frac{5}{4} =\frac{1}{4}[/tex]

Now, our expression is a little easier to work with. It looks like this now:

[tex]4(-\frac{5}{4} )(\frac{1}{4})[/tex]

First, let's multiply 4 by -5/4. Then, we'll take that product and multiply it by 1/4 to get our final answer.

[tex]\frac{4}{1} * -\frac{5}{4} =-\frac{20}{4} =-5[/tex]

Alright, this is our simplest expression yet. What's -5 times 1/4?

[tex]-\frac{5}{1} * \frac{1}{4} =-\frac{5}{4}=-1\frac{1}{4}[/tex]

So our answer is -5/4, or -1 1/4. Hopefully that's helpful! :)

Answer:

a₁₀ = 105

Step-by-step explanation:

There is a common difference between consecutive terms , that is

33 - 24 = 42 - 33 = 51 - 42 = 9

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 24 and d = 9 , then

a₁₀ = 24 + (9 × 9) = 24 + 81 = 105

The 10th number of the arithmetic sequence will be 105.

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The arithmetic sequence is given below.

24, 33, 42, 51, ....

The first term is 24 and the common difference will be

d = 33 - 24

d = 9

Then the 10th term of the arithmetic sequence will be

a₁₀ = 24 + (10 - 1) × 9

a₁₀ = 24 + 9 × 9

a₁₀ = 24 + 81

a₁₀ = 105

The 10th number of the arithmetic sequence will be 105.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ2

Answer:

A- 4

B- 5

C- 8

D- 4

E- 2

F- 7

I'm 99% sure these are right!! I hope this helps :(

Answer:

rational

Step-by-step explanation:

Answer: X=11

Step-by-step explanation:

Add 7 to both sides of the equation     4x-7=2x+15

4x-7+7=2x+15+7

Simplify

Add the numbers :4x -7 + 7 = 2 x + 15 + 7

Add the numbers:4 x = 2x + 15+7

down

4x=2x+22

Subtract

2 2 x 2 x from both sides of the equation

4 x = 2x +22   4x - 2x = 2x +22- 2x

Simplify

2x = 2x +22-2x

Divide both sides of the equation by the same term

2x = 22 2x/ = 22/2 x =22/2x =22/2  x=11

Answer:

cross-section

Step-by-step explanation:

prism is a type of three-dimensional (3D) shape with flat sides.

It has the same cross-section all along the shape from end to end; that means if you cut through it you would see the same 2D shape as on either end.

Answer:

15,000,000 grams

Step-by-step explanation:

300 * 50 = 15,000kg

kg to grams is *1000

15,000 * 1000 = 15,000,000

Answer:

15,000,000.

Step-by-step explanation:

Answer:

12 for sure

Step-by-step explanation:

I just know

Answer:

Perimeter = (Length + Width)×2

=(17.8cm + 4.6cm)×2

=(22.4 × 2)cm

= 44.8cm

Answer:

13

Step-by-step explanation:

Using Pythagoras Theorem:

[tex]a^2+b^2=c^2[/tex]

Substitute values of a and b:

[tex]5^2+12^2=25+144=169[/tex]

[tex]c^2=169\\c=13[/tex]

The length of the missing side is 13.

[tex]2x^2 -5x-8 =0\\\\\implies x = \dfrac{ -(-5) \pm \sqrt{(-5)^2 - 4\cdot 2 \cdot (-8)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{5 \pm \sqrt{89}}{4}\\\\\\\text{Hence}~ x = \dfrac{5 + \sqrt{89}}{4},~~ x = \dfrac{5 - \sqrt{89}}{4}[/tex]

Answer:

[tex]\sf \boxed{\sf x=\frac{5+\sqrt{89}}{4}}[/tex]

[tex]\sf \boxed{\sf x=\frac{5-\sqrt{89}}{4}}[/tex]

[tex]\sf 2x^2-5x-8=0[/tex]

☁ We'll solve this equation using The Quadratic Formula:

[tex]\boxed{\sf \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]

A= 2, b= -5, c= -8

[tex]\sf x=\cfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\times \:2\left(-8\right)}}{2\times \:2}[/tex]

[tex]\mapsto \sf \sqrt{\left(-5\right)^2-4\times \:2\left(-8\right)}[/tex]

[tex]**\sf \left(-5\right)^2=5^2[/tex]

[tex]\mapsto \sf \sqrt{5^2+4\times \:2\times \:8}[/tex]

[tex]\mapsto \sf \sqrt{5^2+64}[/tex]

[tex]\mapsto \sf \sqrt{89}[/tex]

______________

[tex]\sf x=\cfrac{-\left(-5\right)\pm \sqrt{89}}{2\times \:2}[/tex]

☁ Now, we'll Separate solutions, first, we'll solve the equation when ± is plus:

[tex]\mapsto \sf \cfrac{-\left(-5\right)+\sqrt{89}}{2\times \:2}[/tex]

☁ Multiply 2*2 =4

[tex]\boxed{\sf \cfrac{5+\sqrt{89}}{4}}[/tex]

_________________

☁ Now solve the equation when ± is minus:

[tex]\mapsto \sf \cfrac{-\left(-5\right)-\sqrt{89}}{2\times \:2}[/tex]

☁  Multiply 2*2 =4

[tex]\boxed{\sf \cfrac{5-\sqrt{89}}{4}}[/tex]

[tex]\sf Solution \:1:\boxed{\sf x=\frac{5+\sqrt{89}}{4}}[/tex]

[tex]\sf Solution \:2:\boxed{\sf x=\frac{5-\sqrt{89}}{4}}[/tex]

☁❅☁❅☁☁❅☁❅☁☁❅☁❅☁❅☁

Learn more: https://brainly.com/question/22286698

Answer:

⸻⸻⸻⸻⸻

Solving

2X + 3Y = 5.5

⸻⸻⸻⸻⸻

Simplifying

2X + 3Y = 5.5

⸻⸻⸻⸻⸻

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

⸻⸻⸻⸻⸻

Add -3y to each side of the equation.

2x + 3y + -3y = 5.5 + -3y

⸻⸻⸻⸻⸻

Combine terms: 3y + -3y = 0.

2x + 0 = 5.5 + -3y

2x = 5.5 + -3y

⸻⸻⸻⸻⸻

Divide each side by 2.

x = 2.75 + -1.5y

⸻⸻⸻⸻⸻

Simplifying.

x = 2.75 + -1.5y

⸻⸻⸻⸻⸻

Answer:

11/20x + 4

Step-by-step explanation:

Well you can jsut solve it normally following the order of operations.

So first you can distribute -(1/4x-1) which turns into 1/4x+1

4/5x+3+1/4x+1 combine like terms and you’d hey 11/20x +4

Answer:

He is on the 5th floor

Step-by-step explanation:

9 - 2 = 7

7 + 4 = 11

11 - 6 = 5

Answer:

he goes 1 +9=10

10-2=8

8+4=12

12-6=6

so he is ont the sixth floor