Answer:
The apothem, rounded to the nearest tenth, is
2.9 units.
The perimeter of the equilateral triangle is
30 units.
Therefore, the area of the equilateral triangle is
1/2(2.9)(30), or approximately 43.5 units2.
The calculated areas are
the same, despite using different formulas.
Step-by-step explanation:
Edge
A forest covers 54,000 acres. A survey finds that 0.6% of the forest is old-growth trees. How many
acres of old-growth trees are there?
Answer:
324
Step-by-step explanation:
Consider the equation 1/4y=1.5x. Solve the equation for y to find the constant of proportionality.The constant of proportionality for the equation is
6.2 + 0.4x = 8.05 as a decimal . do not round
[tex] \: \: \: \: [/tex]
[tex] \pink{x = 4.625} \\ \\ or \: in \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]
Step-by-step explanation:
[tex]6.2 + 0.4x = 8.05[/tex]
move the constant to the right[tex]0.4x = 8.05 - 6.2[/tex]
calculate[tex]0.4x = 1.85[/tex]
divide both sides[tex] \pink{x = 4.625} \\ \\ in \: \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]
hope it helps[tex] \huge\bf Question:—[/tex]
[tex] \sf \longmapsto \: 6.2 + 0.4x = 8.05[/tex]
[tex] \bf \huge \: Solution:—[/tex]
[tex]\boxed{ \underline{\bf \: Solving \: for \: x:—}}[/tex]
[tex] \boxed{\bf \: Simplify \: both \: sides \: of \: the \: uequation:—}[/tex]
[tex]\sf \longmapsto6.2 + 0.4x = 8.05[/tex]
[tex]\sf \longmapsto0.4x+6.2=8.05[/tex]
[tex]\boxed{ \bf \: Subtract \: 6.2 \: from \: both \: sides:—}[/tex]
[tex]\sf\longmapsto0.4x+6.2−6.2=8.05−6.2[/tex]
[tex]\sf \longmapsto0.4x=1.85[/tex]
[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.4:—}[/tex]
[tex]\sf \longmapsto \: \dfrac{0.4x}{0.4} = \dfrac{1.85}{0.4} [/tex]
[tex] \boxed{\bf \: Cross-multiply:—}[/tex]
[tex]\sf \longmapsto0.4x \times (0.4)=(1.85) \times (0.4)[/tex]
[tex]\sf \longmapsto \: 0.16x = 0.74[/tex]
[tex] \boxed{\bf \: Divide \: both \: sides \: by \: 0.16:—}[/tex]
[tex]\sf \longmapsto \: \dfrac{0.16x}{0.16} = \dfrac{0.74}{0.16}[/tex]
[tex]\boxed{ \bf \: Cross-multiply:—}[/tex]
[tex]\sf \longmapsto0.16x \times (0.16)=(0.74) \times (0.16)[/tex]
[tex]\sf \longmapsto0.0256x=0.1184[/tex]
[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.0256:—}[/tex]
[tex]\sf \longmapsto \: \dfrac{0.0256x}{0.0256} = \dfrac{0.1184}{0.0256} [/tex]
[tex]\sf \longmapsto \: x = 4.625[/tex]
[tex] \underline{{\boxed{\bf \: Answer:—}}}[/tex]
[tex] \boxed{\huge\red{\bf \: 4.625}}[/tex]
[tex]\boxed{\underline{\bf Answer\: In \: Fractional\: Form:—}}[/tex]
[tex]\boxed{\bf \dfrac{37}{8}} [/tex]
[tex]\boxed{\underline{\bf Answer\: In \:Mixed\: Fraction:—}}[/tex]
[tex]\boxed{\bf 4\dfrac{5}{8}}[/tex]
Solve the inequality:
12+x≥3(x-6)
Hello there! :)
The first step is to use the Distributive Property.
It states that
a(b+c)=ab+ac
Let's distribute 3, using this property:
3(x-6)=3x-18
Now, our inequality looks like so:
12+x≤3x-18
The next step is to move the variables to the left, using the opposite operation:
12+x-3x≤-18
12-2x≤-18
Now, move all the numbers to the right, using the opposite operation:
-2x≤-18-12
-2x≤-30
Divide both sides by -2 to isolate x.
Remember that when we divide by a negative variable, we change the inequality sign:
x≥15
Therefore, x≥15
Hope it helps.
~A lonely teen who helps others with a smile
-Grace :-)
Good luck.
Which expression is equivalent to x6 - 16x^2?
o x2(x - 2)2(x2 + 4)
o x2(x - 2)2(x + 2)2
o x2(x - 2)(x + 2)(x2 + 4)
o x2(x - 4)(x2 + 4)
Answer:
[tex]x^2(x - 2)(x + 2)(x^2 + 4)[/tex]
Step-by-step explanation:
[tex]x^6-16x^2[/tex]
[tex]x^2\left(x^4-16\right)[/tex]
[tex]x^2\left(x^2+4\right)\left(x+2\right)\left(x-2\right)[/tex]
[tex]\boxed{\bold{HOPE \:IT \:HELPS!\: :)}}[/tex]
The required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.
Given that,
To determine the equivalent expression equivalent to x⁶ - 16x²
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= x⁶ - 16x²
= x²[x⁴- 16]
= x²[x² + 4] [x² - 4] [ Following the rule (a² - b²) = (a + b)(a - b)}
= x²[x² + 4](x + 2)(x - 2)
Thus, the required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
y+5=2/1(x-2) into standard form
[tex](x + 1 - \frac{1}{2} \sqrt{10)} [/tex]
HELPP EASY MATH FOR Y GUYS IM 5 GRADE
Answer:
Step-by-step explanation:
40% of _______ is 16.
Answer:
40% of ___ is 16
So then 10% of ___ is 4
Then do 4 x 10 = 40
So 40% of 40 is 16.
Is - 4 the absolute value of 3 – 7? Explain.
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you today!!
We can solve this problem in a single step, we just need to know more about absolute value.
Absolute value is the distance a number is away from 0. For example, if we need to find the absolute value of -7, it would be 7 as the distance can not be negative.
Since we know that, we can solve the problem using algebra and our new logic we got.
[tex]|3-7|=-4?\\4\neq -4[/tex]
We can see that -4 is not the absolute value, 4 is as the distance is 4 and cannot be negative.
Cheers!
What is 2872+919=? It’s simple here
2872+919=3791
Was this helpful?
Answer:
3791
Step-by-step explanation:
Answer:
3791
Step-by-step explanation:
2872+919=3791
2872 + 919 = 3791
2872+919=3791
2872+919=3791
A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars
made. If x cars are made, then the unit cost is given by the function C(x)=0.2x2 - 92x+29,516. What is the minimum
unit cost?
Do not round your answer.
Answer:
check online for more information
Order the expressions by choosing >,
Answer:
1. 3^4 x 3^3 < 3^12
2. 3^3 x 4^3 < 12^4
3. 3^4 x 4^3 > 12^3
BRAINLIEST
Please answer these
2. A=49 Pi, C=14 Pi 3. A=225 pi, C=30 pi
4. A=104.04, C=20.4 pi 5. A=20.25 pi, C=9 Pi
Answer:
Step-by-step explanation:
1. For each incomplete expression, indicate the number that will result in the expression
being equal to 0.
Expression
2 -
3 +
4-
5+
6-
7+
Answer
Answer:
2-2=0, 3+(-3)=0, 4-4=0, 5+(-5)=0, 6-6=0, and 7+(-7)=0
Step-by-step explanation:
i have no idea what math this is or what its looking for so please comment how to improve the answer
42 is the product of 6 and y. Solve for y
Answer:
y=7
Step-by-step explanation:
42/6=7
Answer:
y =7 iits divided
Step-by-step explanation:
y =6/42
y= 7
Sam opened a savings account by depositing $2,500. He will receive 5% compound interest and he leaves the money in the savings account for 6 year. How much money will be in her account after the 6 years?
Answer:
120 1 062 = × P . giving P = ÷ 120 1 062 . = 106 799
PLEASE HELP WILL MARK BRAINEST!!!
they biked 220 kil
that is the answer
Which statement best explains whether the table represents a linear or nonlinear function? (4 points)
Input Output
(x) (y)
0 1
1 2
2 4
3 16
Answer:
Step-by-step explanation:
Nonlinear, because the slope is not constant - it keeps changing.
Slope between (1,1) and (1,2) is (1/1) or 1
Slope between (2,4) and (16,3) is:
Rise = (3-4) = -1
Run = (16-2) = 14
Slope = 14/-1 or -14
Definitely not linear. The slope changes dramatically very quickly. A straight line would disapprove.
Easy math stuff- Geometry- **Requires big bran**
Answer:
8.2 CM
Step-by-step explanation:
ACCORDING TO THE MODEL
radius = 9*2 - 8*2
Diameter = 2 times radius
ok I cant too hard to explain because Im typing so its 8.2cm so
Please Help
Find the area of a circle with radius,
r
= 87cm.
Give your answer rounded to 3 SF.
Step-by-step explanation:
so, to repeat, the radius r of the circle is 87 cm.
the area of a circle is
pi×r²
so, in our case
A = pi×87² = pi×7569 = 23,778.7148... cm²
so, how to give this answer with only 3 significant figures ?
as you can see, there are already 5 figures before the decimal point.
3 attempts :
1. 3 significant figures after the decimal point : 23778.715 cm²
2. scientific notation with 3 SF : 2.38×10⁴ cm²
3. converting to m² (1m² = 10000cm²) : 2.38 m²
What if it’s not correct or not ?
Answer:
what is correct or not
You rent an apartment that costs
$
1600
$1600 per month during the first year, but the rent is set to go up 11% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).
Answer:
$4,750
Step-by-step explanation:
Answer:
3360
Step-by-step explanation:
1600*.11*10= 1600 *.11 = 176 * 10 = 1760 + 1600 = 3360
A park in the shape of a rectangle has side
lengths of 7 miles and 9 miles. Approximately how
much shorter is the walk diagonally across the park
than along the two sides of the park?
Answer:
2.6 miles shorter:) hope this helps
Annette measured pepper plant sprouts and recorded the following lengths in
inches:
1/3 .0.75, 1/4 .0.5
If Annette ordered the lengths from least to greatest, which one would come
second?
Answer pls❤️❤️❤️
Answer:
Ask with your teacher.not to me
Answer:
1/4 , 1/3 , 0.5 , 0.75
Step-by-step explanation:
1 - Convert all numbers into fractions.
1/3 , 3/4 , 1/4 , 1/2
2 - Find the greatest common factor and apply it to all.
4/12, 9/12, 3/12, 6/12
3 - Order all into least to greatest.
3/12 , 4/12 , 6/12 , 9/12
4 - Convert back to normal forms.
1/4 , 1/3 , 0.5 , 0.75
Brainliest would be appreaciated! :-)
Evaluate the following function at the given x value.
f(x) = (3)X + 2-4 at x = 2
A
77
B
5
С
D
7
Answer:
4
Step-by-step explanation:
f(x)=3x+2-4
f(2)=3(2)+2-4
f(2)=6+2-4
f(2)=8-4
f(2)=4
What is the quotient? 2 1/5/1-/10
the answer is -0.22
[tex] \: \: \: [/tex]
[tex] = \: \: \: \: - 22[/tex]
Step-by-step explanation:
[tex]2 \frac{1}{ \frac{5}{ - \frac{ 1} {10} } } [/tex]
convert the mixed number to an improper fraction[tex] \frac{11}{ \frac{5}{ - \frac{1}{10} } } [/tex]
use - a / b = a / - b = a - / b to rewrite the fraction[tex] \frac{11}{ - \frac{5}{ \frac{1}{10} } } [/tex]
simplify the complex fraction[tex] = \: \: \: - 22[/tex]
hope it helps25*10to the power of 6 in standard form
Answer:
2.5 x 10^7
Step-by-step explanation:
what is the reasoning of 9 +10 is 21?
Answer:
the reasoning is incorrect.
Step-by-step explanation:
9+10=19.
Write an algebraic equation to represent the situation.
A bacon cheeseburger cost $1 more than a regular cheeseburger. If 5 cheese burgers cost the same as 3 bacon cheeseburgers, how much does a regular cheeseburger cost.
I don't know if I'm just tired or what but I do not understand how I can make an equation out of this.
3(x+1) = regular cheese burger
What is the reciprocal of A if A doesn't equal 0?
Answer:
1/a
Step-by-step explanation:
