Answers
Answer:
[tex] \sqrt[2]{3} [/tex]
[tex] \sqrt[4]{3} [/tex]
Step-by-step explanation:
A garden is in a shape of an equilateral triangle with side 4 ft.
The objective is to find the area of the garden.
The formula to find the area of the triangle is, A= 1/2• b • h
Here, b represents the side of the triangle and h represents and h represents the height of the triangle.
The height of an equilateral triangle can be calculated by,
H = /3/2 • b
= /3/2 • 4
=
[tex] \sqrt[2]{3} [/tex]
Now substitute the value of b and h in the formula of area of triangle.
A = 1/2 • 4 •
[tex] \sqrt[2]{3} [/tex]
=
[tex] \sqrt[4]{3} [/tex]
ft²
Answer:
4 and [tex]2\sqrt{3}[/tex]Step-by-step explanation:
Base of the triangle is:
b = 4Height of the triangle:
h = [tex]\sqrt{4^2 - (4/2)^2}[/tex] = [tex]\sqrt{16 - 4}[/tex] = [tex]\sqrt{12}[/tex] = [tex]2\sqrt{3}[/tex]Area is:
A = 1/2* 4* [tex]2\sqrt{3}[/tex]Related Questions
solve the system by substitution y+X=3 2y+x=-5
Answers
Answer:
Step-by-step explanation:
We have the system:
y+x=3
2y+x=-5
the question asks us to solve by substitution..
Let's subtract y from both sides of the first equation
y+x=3
-y -y
x=3-y
now, let's substitute 3-y as x into the second equation
2y+3-y=-5
combine like terms
y+3=-5
subtract 3 from both sides
y=-8
so the value of y is -8
now let's use that information to solve for x; we know that x is 3-y, so let's substitute the value of y to find x
x=3-y
x=3--8
x=11
the value of x is 11
as a point, your answer is (11,-8)
Hope this helps! :D
Kylie invested $290 in an account paying an interest rate of 2.5% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $390?
Answers
Answer:
t= 11.9
Step-by-step explanation:
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
A=390\hspace{35px}P=290\hspace{35px}r=0.025
A=390P=290r=0.025
Given values
390=
390=
\,\,290e^{0.025t}
290e
0.025t
Plug in
\frac{390}{290}=
290
390
=
\,\,\frac{290e^{0.025t}}{290}
290
290e
0.025t
Divide by 290
1.3448276=
1.3448276=
\,\,e^{0.025t}
e
0.025t
\ln\left(1.3448276\right)=
ln(1.3448276)=
\,\,\ln\left(e^{0.025t}\right)
ln(e
0.025t
)
Take the natural log of both sides
\ln\left(1.3448276\right)=
ln(1.3448276)=
\,\,0.025t
0.025t
ln cancels the e
\frac{\ln\left(1.3448276\right)}{0.025}=
0.025
ln(1.3448276)
=
\,\,\frac{0.025t}{0.025}
0.025
0.025t
Divide by 0.025
11.8506326=
11.8506326=
\,\,t
t
t\approx
t≈
\,\,11.9
11.9
Round to the nearest tenth of a year
The following M & M colors are in the bowl: 4 yellow, 6 orange, 3 green, 5 blue, 2 brown. What is the probability of selecting a brown candy?
Answers
Answer:
1/10
Step-by-step explanation:
4+6+3+5+2=20
so there are 2 brown M&M's
=2/20
= 1/10
I hope this helps a little bit.
How much annual income would you need to have if, using the 28/36 ratio, your maximum allowable recurring debt is $500? A. $21,430 b. $30,000 c. $62,500 d. $75,000
Answers
Answer: $75,000
Step-by-step explanation:
The 28/36 rule is that the maximum that the person is to spend on household expenses is 28% of their monthly income. 36% of their monthly income is the maximum they can spend on debt and their household expenses.
This means that the maximum they are allowed to spend on debt is:
= 36 - 28
= 8%
If their maximum allowable debt is $500, this is 8% of their gross income. This Gross monthly income is therefore:
500 = x * 8%
= 500/ 8%
= $6,250
Their gross annual income is:
= 6,250 * 12
= $75,000
Answer:
$75,000
Step-by-step explanation:
e d g e
Which could be the side lengths of a 30°-60°-90° right triangle?
A 2, 3, 2
B 13, 2/3, 3
C 3, 3, 32
D 3,3/3, 613
Answers
Answer:
None of these could be a 60-30 right triangle
Step-by-step explanation:
A) is a 45-45 right triangle and the hypotenuse is too short
a² + b² = c² 2² + 2² ≠ 3²
B) 13 is way too long
C) 32 too long 3² + 3² ≠ 32²
D) really 613 no way
solve
y=-x+3
y=x^2+1
Answers
Answer:
[tex] - x + 3 = {x}^{2} + 1[/tex]
[tex] {x}^{2} + x = 2[/tex]
Answer:
Step-by-step explanation:
1st y=-x+3
Let's solve for x.
y=−x+3
Step 1: Flip the equation.
−x+3=y
Step 2: Add -3 to both sides.
−x+3+−3=y+−3
−x=y−3
Step 3: Divide both sides by -1.
−x/−1= y−3/−1
Answer:
x=−y+3
2nd queastion: y=x^2+1
In the image
Hope this helps :)
PLS BRAINLIEST
a rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4 unit. How many 1/4 unit cubes does it take to fill the prism? ANSWER ASAP
Answers
Answer:
192
Step-by-step explanation:
at 1/4 unit length, each side of one cubic unit would be 4.
so each cubic unit would consist of 4x4x4 = 64 of the 1/4 cubic units.
64 x 3 = 192
Answer:
your answer will be 192
Step-by-step explanation:
hope it helps
Martha ran 310 meters during P. E. class today. How many centimeters did Martha run?
Answers
Answer:
31000
Step-by-step explanation:
hope this helps :)
Answer:
31000
Step-by-step explanation:
besties i need help on this question
Answers
The speed of a space station in orbit is about 1300 meters per second.How many kilometers per hour does the space station travel? (20 points)
Answers
Answer:
92 minutes
Step-by-step explanation:
"Roughly" 17,150 miles per hour
(which is about 5 minutes per second)
this means that the space station orbits Earth once every 92 minutes.
hoped that helps you and God bless
Perform the operation.
(x^2 + 8x + 8) + (-10x2 + 5x)
Answers
Answer:
-9x^2+13x+8
Step-by-step explanation:
Combine like terms-
(x^2 + 8x + 8) + (-10x^2 + 5x)
8x+5x = 13x
(x^2 + 8x + 8) + (-10x^2 + 5x)
-10x^2+x^2 = -9x^2
(x^2 + 8x + 8) + (-10x2 + 5x)
and 8 is just left over, so we put that all together and get...
-9x^2+13x+8
Good luck, have a great day!
HELP AYUDA ✋
.
what is the constant of proportionality for the graph shown below?
.
/pls pls pls
Answers
Answer:
Yaa!!! you are right option A is your answer
5. Ana's age is twice the age of Lorna. If the sum of their ages is no more than 72, find the age of
the two.
Answers
Answer:
Ana:48
Lorna:24
Together they are a total of 72 yrs old
Lorna’s age y
x=2•y
x+y ≤72
2•y+y =72
3y =72
y =72/3
y =24 Lorna’s age
x=2•y
x=2•24
x=48 Ana’ age
48+24 ≤72
72 ≤72
what is this question called?
Answers
Answer:
It should be Ratio and Proportions .
Answer:
Step-by-step explanation:
a proportion. Both ratios are the same thing. If you divide 15000 by 30 you get 500
If you divide 210 by 30, you get 7
It is always true that a proportion will have equal equal ratios on either side of the equal sign.
You make $52,000 a year. Your state income tax rate is 2.5%. The state income tax allowance is $1500 per person and you have three allowances. They are yourself, your spouse and one child. How much income tax do you owe?
Answers
Answer:
1,187.50
Step-by-step explanation:
Answer:
Step-by-step expiation
we know that their is an income tax rate of 2.5%, Since their is more than one person within the household, we will multiple the tax rate by 3
2.5% = 0.025
0.025 x 3 = 0.075
Then we will multiple the tax rate by our principal,
52,000 x 0.075 = 3,900
52,000 - 3,900 = 48,100
This will then give us our answer of $3,900 for the income tax rate that is owed, and as well as their new total income.
Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)? Distance formula: vaa -02 (x - 1)2 + ( + 2)2 = 25 (x + 2)2 + (-1)=5 O (* + 2) + (-1) - 25 (x-1) + ( + 2) = 5
Answers
Given:
The center of the circle = (-2,1).
Circle passes through the point (-5,3).
To find:
The equation of the circle.
Solution:
Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]r=\sqrt{(-5-(-2))^2+(3-1)^2}[/tex]
[tex]r=\sqrt{(-5+2)^2+(2)^2}[/tex]
[tex]r=\sqrt{(-3)^2+(2)^2}[/tex]
On further simplification, we get
[tex]r=\sqrt{9+4}[/tex]
[tex]r=\sqrt{13}[/tex]
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is the center of the circle and r is the radius of the circle.
Substitute h=-2, k=1 and [tex]r=\sqrt{13}[/tex].
[tex](x-(-2))^2+(y-1)^2=(\sqrt{13})^2[/tex]
[tex](x+2)^2+(y-1)^2=13[/tex]
Therefore, the equation of the circle is [tex](x+2)^2+(y-1)^2=13[/tex].
helppp
What is the equation of the line that passes through the point (-4,4) and has a
slope of 3/4 ?
Answers
Answer:
y = 3/4x + 7
Step-by-step explanation:
Put it in point-slope form:
y - 4 = 3/4(x - -4)
y - 4 = 3/4(x + 4)
y - 4 =3/4x + 3
y = 3/4x + 7
[tex]45=9^{\sqrt{x} }[/tex]
Solving Exponential equations using logs. Round any decimal answers to the hundredths
Answers
Answer:
Step-by-step explanation:
a= b^c << === >> logb(a) = c
a b c
Convert 45 = 9^√x << === >> log9 (45) = √x
1.7324867604 = √x
3.0 = x squared both sides
I used a log calculator on the internet when a Gaggled log calculators
Out of 28 cookies, 3/4 are chocolate chip. How many cookies are chocolate chip?
Answers
21 out of 28 cookies are chocolate chip
Answer:
21 cookies
Step-by-step explanation:
28 x 3/4 =
28 / 4 x 3 =
7 x 3 = 21
Hope that helps!
Combine like terms to create an equivalent expression.
Make sure to simplify coefficients and constants as well.
-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v−
5
6
−
3
2
v+
15
4
+
3
1
v
Answers
Answer is in the file below
tinyurl.com/wpazsebu
Your Welcome!!!!
The answer is in the picture!!!! :3
Help :)))) please it would mean alot
Answers
2y to the power of 4 x 5y to the power of 3
Answers
Answer:
(2•5y to the 7th power)
Step-by-step explanation:
Step 1: (2y to the 4th power • 5) • y to the 3rd power
Step 2: (2•5y to the 4th power) • y to the 3rd power
Step 3: 3.1 y to the 4th power multiplied by y to the 3rd power = y to the (4 + 3) power = y to the 7th power
Final answer: (2•5y to the 7th power)
The expression [tex]2y^{4} * 5y^{3}[/tex] is equal to 10[tex]y^{7}[/tex].
What is Multiplying Exponents?When two expressions with exponents are multiplied, it is called multiplying exponents. The multiplication of exponents involves certain rules depending upon the base and the power.
What is multiplication of exponents with same base and different power?When the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]
According to the question
[tex]2y^{4} * 5y^{3}[/tex]
Now,
Using the multiplying exponent rule :
the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]
Therefore,
As, base y is common in both the terms
= 10[tex]y^{4+3}[/tex]
= 10[tex]y^{7}[/tex]
Hence, the expression [tex]2y^{4} * 5y^{3}[/tex] is equal to 10[tex]y^{7}[/tex].
To know more about multiplying exponent here:
https://brainly.com/question/219134
#SPJ3
1 + 1 = ? help now please asap!
Answers
Question:
1 + 1 = ? help now please asap!
Answer:
1 + 1 = 2
hope this helps :)
You wre flying a drone at a height of twelve yards. It has traveled a horizontal of twenty eight. What is the angle of depression from the drones current location down to its starting point
Answers
Answer:
23.19°
Step-by-step explanation:
Given that,
The height of a drone = 12 yards
It has traveled a horizontal of 28 yards
We need to find the angle of depression from the drones current location down to its starting point. It can be calculated as :
[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})\\\\=\tan^{-1}(\dfrac{12}{28})\\\\=23.19^{\circ}[/tex]
So, the angle of depression is equal to 23.19°.
The vertices of a triangle are P(7,3), Q(3,1)and R(7,1). Enter the vertices of the image reflected in the x-axis
Answers
Answer:
P'(7,-3)
Q'(3,-1)
R'(7,-1)
Step-by-step explanation:
Switch signs of y-value when reflecting across x-axis.
Switch signs of x-value when reflecting across y-axis.
Hope this helped!
1) The assistant principal at the girl’s school wants to determine which type of snack to give out to the entire Girls School population during their next assembly. Which survey method would produce the best representative sample?
a. survey every fifth person who goes outside during lunch period
b. survey all the students on the debate team
c. survey every tenth student entering the school one morning
d. survey all the students who go to the mall one weekend
Answers
Answer:
C
Step-by-step explanation:
Due to the fact that you are surveying more people and that those people are differentiated there will be a more representative answer rather than a biased one.
Answer:
c
Step-by-step explanation:
you have a higher number therefore more results.
The function Rx) = x2 is graphed above. Which of the graphs below represents the function g(x) = x2 -3?
Answers
Answer:
Step-by-step explanation:
WILL MARK BRAINLIEST IF GOTTEN RIGHT! DONT ANSWER IF U DONT KNOW!
Answers
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
58% of students were girls, there are 450 students total. How many students are girls ?
Answers
Answer:
261
Step-by-step explanation:
450 (.58)= 261
check answer 261/450 =.58
helpppppppppppppppppppppppppp
Answers
Answer:Hmm okay its C because i had that before
Step-by-step explanation:
if its wrong then i dont know because my brother told me