Answer:
x = -4/3
Step-by-step explanation:
4 - 2x = x + 8
4 - 3x = 8
-3x = 4
x = -4/3
4.
Triangle DEF is shown below.
E
19-6 m
I
10-4 m
13-2 m
D
It has sides of length 10.4metres, 13.2metres and 19.6metres.
Calculate the size of angle EDF.
Answer:
111.75 degrees
Step-by-step explanation:
EDF = cos^-1((b²+c²-a²)/2bc)
EDF = cos^-1((10.4²+19.6²-13.2²)/2(10.4)(19.6))
EDF = 111.75 degrees
What is the volume of the triangular right prism?
(7.3ft
7 ft-
10 ft
4 ft
A. 140 ft3
B. 280 743
c. 1,022 ft3
D. 2,044 ft3
Answer:D
Step-by-step explanation:
What is the answer please?
Step-by-step explanation:
optically, they are congruent.
so, it must be a reflection followed by a translation.
there is no 90° rotation. and the result cannot be created only by a reflection.
PLEASE I NEED YOUR HELP ASAP!!!!!
Answer:
7/2 ≤ x < 4
Step-by-step explanation:
When an increasing function is applied to both sides of an inequality, their order does not change. We can solve the given inequality as though the square root symbol were not present.
__
Inequality solution5 -x > 2x -7
12 > 3x . . . . . add x+7
4 > x
domain restrictionsThe domain of f(x) requires that its argument be non-negative.
5 -x ≥ 0 ⇒ x ≤ 5
2x -7 ≥ 0 ⇒ x ≥ 7/2
full solutionTogether with the domain restriction on f(x), the solution to the inequality is ...
7/2 ≤ x < 4
What is an estimate for the square root of 150? (Do not find the exact value) Show work
Answer:
Somewhere between 12 and 13, perhaps 12.25
Step-by-step explanation:
This is a (rather) simple explanation:
Look for 2 square numbers that are either side of 150
In this case, it is 144 and 169
The square root of 144 is 12 and the square root of 169 is 13
Therefore we can estimate that the square root of 150 is somewhere between 12 and 13.
As 150 is a lot closer to 144 to 169, I would estimate around 12.25 but you do not need an exact value :)
In which number does the digit 2 have a value that is ten times as great as the value of the digit 2 in the number 135,284? A 29,831
B 42,938
C 298,893
D 326,894
Answer:
it's option B 42,938
Step-by-step explanation:
in the question the value of 2 in 135,284 is 200
200× 10 =2000
therefore the number with 2 in thousands place is option B 42,938
Fill in the missing number. 50% of ????= 13
question 1. write the product using exponents
Answer:
(- 0.9)³
Step-by-step explanation:
(- 0.9) × (- 0.9) × (- 0.9)
= (- 0.9)³
Estimate
754÷13
Hurry up please
Answer:
754 divided by 13= 58
I hope this Helps! ;)
a water barrel that had 4 gallons of water is being filled with water at a rate of 4 gallons per minute . write a function
Answer:
y=4x+4
Step-by-step explanation:
using y=mx+b, y is y since we are writing a function. 4 would be the slope, as that is added per minute, so that takes the place of m, and x stays the same, which leaves b, the y intercept, to be 4. this is because the barrel already had 4 gallons inside before.
Find the slope and y-intercept of the graph of the equation.
y = 8x +9
Answer:
Slope = 8
Y-intercept = (0, 9)
Step-by-step explanation:
Slope-intercept form of an equation :
y = mx + bm = slopeb = y-interceptTherefore, on comparing with the given equation :
Slope (m) = 9Y-intercept (b) = (0, 9)Can someone please help me solve this? I’ll give you a brainliest pls!!!
Answer:
1. 84º
Step-by-step explanation:
1. CEB = 180º - 96º
CEB = 84º
you do the rest
PLSSS HELPPPPP with b !!!
Step-by-step explanation:
your a. is wrong.
so, we need to do both.
a.
you did not really read carefully. DE = 4x and not 4.
DE = 4x does not mean x = 4. absolutely not.
so, you cannot just use x=4 in the first triangle.
but you are right, AB and DE correlate between the 2 congruent triangles.
therefore
3x + 6 = 4x
6 = x
so, AB = 3x + 6 = 3×6 + 6 = 18 + 6 = 24 ft
b.
congruent means that the sides and the angles are the same between the 2 triangles.
so,
6y + 12 = 8y + 2
12 = 2y + 2
10 = 2y
y = 5
so, the angle EDF is
8y + 2 = 8×5 + 2 = 40 + 2 = 42°
PLEASE HELP ASAP
If (x + 3)2 = 42, what is the approximate positive value of x?
A) 0.48
B) 3.48
C) 5.48
D) 6.48
An expression is defined as a set of numbers, variables, and mathematical operations. The value of x is 3.48.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The solution of the expression (x+3)²=41 can be found as shown below,
(x+3)²=42
(x+3)=√42
x+3=6.48
x = 3.48
Hence, the value of x is 3.48.
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ1
Justus has a flexible container that holds 200 milliliters of alr at a temperature of 300 kelvins and a pressure of 100 kilopascals. Justus wants to
decrease the volume of the alr inside the container to 100 milliliters.
He can do this either by changing the temperature to
kelvins or by changing the pressure to
kilopascals.
Answer:
See below ~
Step-by-step explanation:
Based on the Ideal Gas Equation,
V ∝ TV ∝ 1/PUsing T :
V₁/T₁ = V₂/T₂200/300 = 100/T₂T₂ = 100/200 x 300T₂ = 0.5 x 300T₂ = 150 KUsing P :
P₁V₁ = P₂V₂100 x 200 = P₂ x 100P₂ = 200 kPaHe can do this either by changing the temperature to 150 kelvins or by changing the pressure to 200 kilopascals.
A triangle has sides with lengths of 20 yards, 48 yards, and 52 yards. Is it a right triangle?
yes
no
Yes
Step-by-step explanation:
Because the sides of this triangle follow the Pythagorean Theorem.
i.e.
[tex]52^{2} = {20}^{2} + {48}^{2} [/tex]
[tex]\boxed{\textbf{Therefore it IS a right triangle}} [/tex]
[tex]\begin{aligned} &\text { 55. At which term does the sequence }\\ &\{10,12,14.4,17.28, \ldots\} \text { exceed } 100 ? \end{aligned}[/tex]
Answer:
14th term
Step-by-step explanation:
12÷10 = 1.2
14.4÷12 = 1.2
17.28÷14.4 = 1.2
Then it’s a geometric sequence of first term ‘V₀=10’ and common ration ‘q = 1.2’
We call it (Vn)
The general term of the sequence:
Vn = V₀×qⁿ⁻¹ = 10×(1.2)ⁿ⁻¹
To determine the term at which the sequence exceeds 100 we have to solve the equation:
Vn ≥ 100
⇔ 10×(1.2)ⁿ⁻¹ ≥ 100
⇔ (1.2)ⁿ⁻¹ ≥ 100/10
⇔ (1.2)ⁿ⁻¹ ≥ 10
⇔ ln(1.2)ⁿ⁻¹ ≥ ln(10)
⇔ (n-1)×ln(1.2) ≥ ln(10)
[tex]\Longleftrightarrow n-1\geq\frac{ln10}{ln1.2}[/tex]
[tex]\Longleftrightarrow n-1\geq12.6\\\Longleftrightarrow n\geq13.6\\\Longrightarrow n=14[/tex]
Verification:
[tex]V_{14}=10\times \left( 1.2\right)^{14-1} =106.993205379072[/tex]
HELPPP!! I’ll give brainliest
26. Each weekday, 3,200,000 people in Massachusetts
commute to work. Of the total commuters, 403,200 take
public transportation. What percentage of commuters take
public transportation?
Answer: 12.6%
Step-by-step explanation:
403,200/3,200,000 = 0.126
0.126 = 12.6%
how to turn 8000 ÷ 5 = 1600 in too an equation like[tex]\sqrt[5]{8000}[/tex] or just a step by step explanation
Answer:
Here is the long division
Step-by-step explanation:
CAN SOMEONE PLASE HELP ME WITH THIS PROBLEM
Answer:
Step-by-step explanation:
A store pays $68 for a chest of drawers and markers the price up by 50% what is the amount of the mark up
Answer:
$102.00
Step-by-step explanation:
Simply multiply 68 by 50 percent
68 × 50% or 68 × .5 = 34
so . .
Add 68 + 34 = 102
Aaron flips a coin three times, how many outcomes have only one head?
1
2
3
4
3
Step-by-step explanation:
there are 6 solutions, 3 contain 2 heads, i think. dont judge me if its wrong.
24. Use the intercepts to graph the equation.
Answer:
See below ~
Step-by-step explanation:
Finding x-intercept
Take y = 02x - 5(0) = 102x = 10x = 5x-intercept is at (5, 0)Finding y-intercept
Take x = 02(0) - 5y = 10-5y = 10y = -2y-intercept is at (0, -2)Graph (with points marked)
Step-by-step explanation:
[tex]2x - 5y = 10 \\ 2x = 10 - 5y \\ x = \frac{10 - 5y}{2} [/tex]
when y=0,-2,2,-4,4
then x=5,10,0,15,-5,
What value for c completes the square for the quadratic x2 + 12x + c?
The value for c is 36 which completes the square for the quadratic x² + 12x + c.
What is a quadratic equation?The polynomial having a degree of 2 is termed as the quadratic equation.It means that the equation will have the maximum power of 2.
Here we have the equation
=x²+12x+c
=x^2+12x+36
=x^2+6x+6x+36
=x(x+6)+6(x+6)
=(x+6)(x+6
=(x+6)²
hence value for c is 36 which completes the square for the quadratic x² + 12x + c.
To know more about quadratic equation follow
https://brainly.com/question/1214333
#SPJ1
What is the product of 76 and 6.0 x 10^2 expressed in scientific notation?
Answer:
45.6 x 10^3
Step-by-step explanation:
76 can be expressed as 7.6 x 10^1.
Now, you can multiply the two values together.
7.6 x 6.0 is 45.6.
Then, add the two exponents together:
1 + 2 = 3
45.6 x 10^3
Work out the surface area of this cylinder
Diameter is 12 cm
Height is 25 cm
Answer:
The surface area of this cylinder is 1168.67
Step-by-step explanation:
To find the surface area of a cylander use this formula
A = 2π[tex]\frac{d}{2}[/tex]h+2π([tex]\frac{d}{2}[/tex])²Plug in
A = 2 × π × [tex]\frac{12}{2}[/tex] × 25 + 2 × π × [tex]\frac{12}{2}[/tex]²Answer is 1168.67
Each alice is 1/10 of an orange if he brings 12 whole oranges how many sloces are there ?
Answer:
there are 120 slices of orange.
Step-by-step explanation:
The reason for this is because if theres 10 slices per orange, and there is 12 oranges, you multiply 10x12 and you get 120 slices.
Solve using appropriate property:
3/8 × -4/5 + 7/9 × 3/8 (-3/8 × 8/10)
Answer:
Exact Form:
- 31/80
Decimal Form:
-0.3875
Step-by-step explanation:
hope this helps
sorry if wrong
Answer:
-0.3875
Step-by-step explanation:
Pa Brainless
How do you decompose the number 120 into a prime number
Answer:
But it not a prime number :( maybe divide
Step-by-step explanation: