Answer:
F=first side; S=second side=3F; T=third side=2.5F
.
F+S+T=60ft
F+3F+2.5F=60ft
6.5F=60ft
F=9.23ft
S=3F=3(9.23ft)=27.69ft.
T=2.5F=2.5(9.23)=23.08ft
.
ANSWER First side=9.23ft; Second side=27.69ft; Third side=23.08ft
Step-by-step explanation:
what is the first term, common difference, and 16th term
Answer:
The 1st term is -67
Step-by-step explanation:
I. When Sn = [tex]\frac{n}{2}[/tex]([tex]a_{1} + a_{n}[/tex])
If Sn = 124, n = 8 and [tex]a_{n}[/tex] = 98
124 = 8/2(a + 98)
124 = 4(a + 98)
124 = 4a + 392
124 - 392 = 4a
-268/4 = a
-67 = [tex]a_{1}[/tex]
Hope that help :D
Identify the number as rational or irrational.
Identify which number??
Last year, the Widget Corporation had $650,000 in sales. This year, sales are
down 4%. How much did the Widget Corporation sell this year?
Answer:
$624,000
Step-by-step explanation:
100-4 = 96
96/100 = 0.96
650,000 x 0.96 = 624,000
= $624,000
How Does 2 / 0.1 become 20?
The decimal value 0.1 converts to the fraction 1/10
This is because the 1 in 0.1 represents "one tenth", as its in the tenths place.
So this means 2/0.1 is the same as 2/(1/10) or [tex]2 \div \frac{1}{10}[/tex]
Then we can follow these steps:
[tex]2 \div \frac{1}{10} = \frac{2}{1} \div \frac{1}{10}\\\\\\2 \div \frac{1}{10} = \frac{2}{1} \times \frac{10}{1}\\\\\\2 \div \frac{1}{10} = \frac{2*10}{1*1}\\\\\\2 \div \frac{1}{10} = \frac{20}{1}\\\\\\2 \div \frac{1}{10} = 20\\\\\\[/tex]
Note in the second step, we flip the second fraction to go from a division problem to a multiplication problem. The general rule is [tex]\frac{A}{B} \div \frac{C}{D} = \frac{A}{B} \times \frac{D}{C}[/tex]. The first fraction does not flip.
Select the two values of x that are roots of this equation.
2x^2+ 1 = 5x
Answer:
[tex]\frac{5+\sqrt{17}}{4}[/tex], [tex]\frac{5-\sqrt{17}}{4}[/tex]
Step-by-step explanation:
One is asked to find the root of the following equation:
[tex]2x^2+1=5x[/tex]
Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:
[tex]ax^2+bx+c=0[/tex]
Change the given equation using inverse operations,
[tex]2x^2+1=5x[/tex]
[tex]2x^2-5x+1=0[/tex]
The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}[/tex]
Simplify,
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}[/tex]
[tex]\frac{5(+-)\sqrt{25-8}}{4}[/tex]
[tex]\frac{5(+-)\sqrt{17}}{4}[/tex]
Rewrite,
[tex]\frac{5(+-)\sqrt{17}}{4}[/tex]
[tex]\frac{5+\sqrt{17}}{4}[/tex], [tex]\frac{5-\sqrt{17}}{4}[/tex]
Help me out plzzzzzz
Answer:
∠1 = 56
Step-by-step explanation:
To find ∠1 we need to
∠1 + ∠2 = ∠ABD
∠1 + 17 = 75
∠1 = 75 -17
∠1 = 56
Find the kinetic energy if a body is of mass 10 kg moving with a velocity of 20 m/s
Answer:
2000 J
Step-by-step explanation:
We know that
KE = ½ mv²
KE = ½ × 10 × (20)²
KE = 5 × 400
KE = 2000 J
Now we have to,
find the required kinetic energy.
The formula we use,
→ KE = 1/2 mv²
The given information is,
→ Mass (m) = 10 kg
→ Velocity (v) = 20 m/s
Let's find the kinetic energy,
→ 1/2 mv²
→ 1/2 × 10 × (20)²
→ 5 x 400
→ [2000 J]
Thus, kinetic energy is 2000 J.
. What is the sum of the first 4 multiples of 3?
Please help!
Please explain your answer because I need to learn this!
Find the measure of angle theta.
Answer:
48.2
Step-by-step explanation:
We have a right angle so we can do our three trig ratios,
Sine Cosine Tangent
Remeber SOHCAHTOA.
We are given some angle theta, and we are given a side adjacent to the angle and the hypotenuse. We are going to use the cosine rule.
[tex] \cos(theta) = \frac{36}{54} [/tex]
[tex] \cos(theta) = \frac{2}{3} [/tex]
Take the inverse of both sides
[tex] \cos {}^{ - 1} ( \frac{2}{3} ) = x[/tex]
Theta is equal to
[tex]48.2[/tex]
20 PTS + Brainliest. Please find the size of the blue area, explain your work.
here is answer, hope u understand:)
two units of length used in ancient Egypt were cubits and palms, where 1 cubit is equivalent to 7 palms. the great sphinx statue in Giza is approximately 140 cubits long. which of the following best approximates the length, in palms, of the great sphinx statue? A) 0.05 B) 20 C) 140 or D) 980
Answer:
Step-by-step explanation:
option a
AAAAAAAAAAHHHHHHHHHHHH
Answer:
[tex] \sqrt{45 {x}^{2} } + \sqrt{5 {x}^{2} } + 4x \sqrt{5} \\ = 3 \sqrt{5} x + \sqrt{5} x + 4x \sqrt{5} \\ = 8x \sqrt{5} \\ thank \: you[/tex]
1. What would you think "11 more than a number" would look like if you wrote it as a function ( don't use spaces in answer and use x for variable)
Answer:
11+x
Step-by-step explanation:
Let the number be x
11 more than the more will be
11+x
Help!!! can someone help me solve this page im getting really confused I will mark you brainliest ☆ if you help me solve this :)
4 no. one i guess 10
not sure
The perimeter of an equilateral triangle is 15 inches more than the perimeter of a square, and the side of the triangle is 7 inches longer than the side of the square. What is the side of the triangle?
Answer:
13 inches
Step-by-step explanation:
in an equilateral triangle all sides had we the same length.
so, the perimeter is simply 3×one triangle side.
and the perimeter of the square is 4×one square side.
x = triangle side length
y = square side length
3x = 4y + 15
x = y + 7
we use the second equation as substitution in the first equation.
3(y + 7) = 4y + 15
3y +21 = 4y + 15
6 = y
x = y + 7 = 6 + 7 = 13 inches
50 points hurry!!!!!
find what belongs in the missing/blocked out line.
Answer:
4+7(11)
Step-by-step explanation:
the square root of 121 is 11 so it would be 4+7(11)
Answer:
4 + 7 × 11
Step-by-step explanation:
[tex]4 + 7 \sqrt{ {5}^{3} - 4} [/tex]
[tex] = 4 + 7 \sqrt{125 - 4} [/tex]
[tex] = 4 + 7 \sqrt{121} [/tex]
simplify the square root of 121
[tex] \boxed{\green{\boxed{\bold{= 4 + 7 \times 11}}}}[/tex]
[tex] = 4 + 77[/tex]
[tex] = 81[/tex]
┈➤ . . ⇢ ˗ˏˋ⌦ ..♡ˎˊ˗ ꒰✈꒱
╭─────────
┊╭─────────
┊✿꒷꒦ Thankyou
╰─────────
★ . ꜝꜞ ᳝ ࣪ hope that helped! ʬʬ
What is the value of n in the equation 3(4n+ 5) = -7n-23?
Answer:
n= -2
Step-by-step explanation:
3(4n+5)=-7n-23
expand brackets
12n + 15 =-7n-23
collect like terms
12n + 7n= -23-15
19n= -38
dividing throughout by 19
19n/19=-38/19
n= -2
Answer:
n = -2
Step-by-step explanation:
3(4n+5)= -7n -23
Distribute the 3,
12n + 15 = -7n -23
subtract 15 from both sides,
12n = -7n -38
add 7n to both sides,
12n + 7n = -38
simplify,
19n = -38
divide both sides by 19,
n = -2
Can someone answer this ASAP?
NO IMAGE EXAMPLES PLEASE I CANT SEE THEM
Answer:
6.3Step-by-step explanation:
Given,
Area of a triangle = 40
Therefore,
Side of the square
[tex] = \sqrt{40} [/tex]
= 6.3245553203
= 6.3 (estimated) (Ans)
Find f(4) for the function below.
f(x) = |x-7| + 3
Step-by-step explanation:
f(x) = |x-7| + 3
when x is equal to 4, then
f(4) = |4-7| + 3
=-3+3
=0
Answer:
[tex]\boxed {\boxed {\sf f(4)= 6}}[/tex]
Step-by-step explanation:
We are asked to find f(4) for a function. We are finding the output or y-value when the input or x-value is 4.
[tex]f(x)= |x-7| +3[/tex]
Substitute 4 for x in the function.
[tex]f(4) = |4-7| +3[/tex]
Solve inside the absolute value signs.
[tex]f(4)= |-3|+3[/tex]
The absolute value of a number is its distance from 0 on a number line. It is always the positive version of a number, so the absolute value of -3 is 3.
[tex]f(4)= 3+3[/tex]
Add.
[tex]f(4)= 6[/tex]
For the function f(x)= |x-7| +3, f(4) is equal to 6.
How many times smaller is the value 29,000 than the value 290,000
Find three consecutive even numbers
such that the sum of three times the
smaller number and five times the larger
number is 40 more than twice the median
number.
Answer:
1, 4, 9
Step-by-step explanation:
1 x 3 = 3
9 x 5 = 45
total = 48
median = 4
twice median = 4×2
= 8
sum = 8 + 40 = 48
48=48
plz help me plz!!!!!!
Answer:
6. was Narbada alienated ...?
7. did Pratima make ...?
8. did Zayasha wander ...?
9. Did Sachin behave as if...?
10. did susan look ...?
12. do sarina and sazina jump ...? (plural noun)
13. Were ... and ... aghast to...?
Step-by-step explanation:
yes/ no question:
Past simple: Did + S + V-bare...?
Passive voice (Past simple): Was/ Were + S + V3/ed (past participle)
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2 + 5y = –20
Answer:
Submit Answer
PLS HEP ASAP
same as we did for the other question,
5y=-x-20
then divide the 5
y= (-1/5)x-4
What is equivalent to -23?
Which decimal is equal to the following fraction?
23/24
Answer:0.95833333333333.
Step-by-step explanation:
Which decimal is equal to the following fraction?
Answer: 0.95833333333333
You are looking at your power bill for the month, you pay 12 cents per kilowatt-hour. Your power bill came out to $99.89 how many KWH of energy were used in your house this month?
Answer:
832.42
Step-by-step explanation:
.12 per KWH x KWH = 99.89
KWH = 99.89/.12
KWH = 832.42 hours
Which is a reasonable first step that can be used to solve the equation 2(x+6) = 3(x-4) +5? O Combine like terms, 3 and 5, on the right side of the equation. O Distribute 2 to (x + 6) and 3 to (x – 4). O Distribute 2 to x on the left side of the equation and 3 to x on the right side of the equation. O Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side. Save and Exit Mark this and return Next Submit
Answer:
Distribute 2 to (x + 6) and 3 to (x – 4).
Step-by-step explanation:
While solving for:
2(x+6) = 3(x-4) + 5
Firstly, we need to open the parenthesis. For this, we've to distribute 2 to (x+6) and 3 to (x-4).
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!factorize
a square -
Answer:
FOIL stands for multiply the first, outside, inside, and last terms together. When you FOIL a binomial times itself, the product is called a perfect square. For example, (a + b)2 gives you the perfect-square trinomial a2 + 2ab + b2.
Step-by-step explanation:
help, i will give u brainly. ASPA
Answer:
I need more information
Step-by-step explanation:
Jfjdkdjdjdndkdknskdd
Answer:
6, 24, 30, 48, 66
1, 4, 5, 8, 11
Step-by-step explanation:
Just by the first column we know that the scale ratio is 6. To find the second one we will multiply (6 * 4 = 24). To find the third one we will divide (30 / 6 = 5). To find the fourth one we will mulyiply (8 * 6 = 48). To find the fifth one we will divide (66 / 6 = 11).
Best of Luck!
(√2+√3) ^2
answer faaaaaaaaaaaaast
Answer:
2.5
Step-by-step explanation:
Answer:
[tex]thank \: you[/tex]