Answer:
option A
Step-by-step explanation:
the bigger triangle is two times the size of the small one
mow much would 600$ invested at 8% interest compounded continuously be worth after 3 years?
12-2²·2=?
Brainliest
Answer:
it would be 4
12-4×2=12-8=4
Step-by-step explanation:
hope it helps you
[tex]\longrightarrow{\green{ 4 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
➺ [tex] \: 12 - {2}^{2} .2[/tex]
➺ [tex] \: 12 - (2 \times 2 \times 2)[/tex]
➺ [tex] \: 12 - 8[/tex]
➺ [tex] \: 4[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Find the length of the diagonal for a square that is 6 cm. by 6 cm. Leave answer in simple radical form, if necessary.
please hurry I beg
Answer:
[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
let the diagonal be d
using the pythagoras theorem,
[tex]6^{2} + 6^{2} = d^{2}[/tex]
[tex]d=\sqrt{72}[/tex]
which in radical form is
[tex]6\sqrt{2}[/tex]
2 consecutive postive nos are such that the sum of their squares is 113. Find the 2 numbers
Answer:
7,8
Step-by-step explanation:
n^2+(n+1)^2=113; this is the information we are provided in the question.
n^2+n^2+2n+1=113 ; just expanding the numbers
2n^2+2n-112=0 ; moving everything to the same side
n^2+n - 56= 0 ; divide everything by two
(n-7)(n+8)=0 : factor the polynomial
so answers for n are: 7 and -8. since the questions asks for positive numbers -8 cannot be correct.
so n=7
n+1 = 8
TIME REMAINING
57:18
A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0).
What is the equation of the directrix?
x=−4
y=−4
x=4
y=4
Find the surface area and the volume of the figure
Round to the nearest tenth if needed.
Answer:
See belowStep-by-step explanation:
Surface area:
S = 2(lw + lh + wh) + 2πrhS = 2(9*4 + 9*5 + 4*5) + 2*3.14*2*3 = 239.7 cm² (rounded)Volume:
V = lwh + πr²hV = 9*4*5 + 3.14*2²*3 = 217.7 cm³ (rounded)Answer:
> V = 217.68 cm³
> S = 227.14 cm²
Step-by-step explanation:
We are required to find the surface area and the volume of the given figure . This question is from Combination of solids . As we can see that this figure is made up of a cuboid and cylinder.
Firstly let's find out the volume .
> V = V_( cuboid) + V_(cylinder)
> V = 9cm × 4cm × 5cm + π × ( 2cm)²× 3cm
> V = 180 cm³ + 3.14 × 4cm² × 3cm
> V = 180 cm³ + 37.68 cm³
> V = 217.68 cm³
Lets find the surface area :-
> S = S_( cuboid) + S_( cylinder) - πr²
> S = 2( 9×4 + 4× 5 + 5×9) cm² + 2×π×2cm × 3cm - 3.14 × (2cm)²
> S = 239.7 cm² - 12.56 cm²
> S = 227.14 cm²
Note :-
Here we subtracted πr² from the total surface area of cuboid and cylinder because that much area of the cuboid was covered by the base of the cylinder .(05.02)
Solve the following system of equations: (1 point)
x − 2y = 14
x + 3y = 9
Group of answer choices
(1, 12)
(−1, −12)
(12, −1)
(12, 1)
The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240. A) Find the first term. B) Find the common ratio. C) Justify your answers by showing steps that demonstrates your answers generate S8=19680 and S4=240.
Answer:
First Term = 6
Common Ratio = 3
Step-by-step explanation:
According to the Question,
Given, The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240 .Thus, [tex]S_{8} = 19680[/tex] & [tex]S_{4} = 240[/tex] .
The Sum of n-term of Geometric Mean is [tex]S_{n} = \frac{a(r^{n-1)} }{r-1}[/tex] Where, r>1 , a=First term of G.P & r=common Ratio .Now, on solving [tex]\frac{S_{8} }{S_{4} }[/tex] we get,
[tex]\frac{19680}{240} = \frac{\frac{a(r^{8-1)} }{r-1}}{\frac{a(r^{4-1)} }{r-1}}[/tex]
[tex]82 = \frac{r^{8}-1 }{r^{4}-1 }[/tex]
[tex]82r^{4}-82 = r^{8}-1\\r^{8}-82r^{4}+81 = 0\\r^{8}-81r^{4}-r^{4}+81 = 0\\(r^{4}-81)( r^{4}-1) =0[/tex](r=1 is not possible so neglect [tex]( r^{4}-1) =0[/tex] )
So, r=3 Now Put this value in [tex]S_{4} = {\frac{a(r^{4-1)} }{r-1}}[/tex] We get a=6 .
PLEASE HELP Given the function [tex]f(x)=\sqrt{3x+3+2}[/tex]
Answer:
98.97
Step-by-step explanation:
I used my notes on page 34
Financial software can do all of the following except ____.
A.
prepare your taxes
B.
apply for loans
C.
keep track of expenses
D.
monitor your savings
Answer: Apply for loans
Step-by-step explanation:
I just took the quiz off gradpoint :) trust me its right!!!!
write the solution as a coordinate pair. SHOW YOUR WORK!!!!!
GIVING BRAINIEST TO WHOEVER HELPS ME AND GETS IT RIGHT!!!
Answer:
(-4,8)
Step-by-step explanation:
x + 4y = 28
+ -x + y = 12
5y = 40
y = 8
-x + (8) = 12
-x + 8 = 12
-x = 4
x = -4
can someone help me please
Answer:
8. B
9. B
Step-by-step explanation:
add all sides to get perimeter
multiply sections of the area to get area (length times width)
What's the distance between the two points (0,-2) and (0,-9)
Test 645 for divisibility by 2, 3, 5, 9, and 10.
Answer:To test for divisibility, you look for answers that are whole numbers when you divide 59859 by either 2, 3, 5, 9, or 10.
To start divide it by each of them:
59859/2=29929.5
59859/3= 19953
59859/5= 11971.8
59859/9= 6651
59859/10= 5985.9
Now look at which of the choices are whole numbers
3 and 9 are the only non decimal numbers, therefore, C would be your answer.
Step-by-step explanation:
Lauren uses a calculator to find Three-fourths divided by StartFraction 3 plus 9 over 36 EndFraction and gets a result of Nine-fourths. Which statement best describes her work?
Answer:
11/20
Step-by-step explanation:
Someone help fast please
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The sequence of payment is geometric , that is
1, 3, 9, ...
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 1 and r = 3 ÷ 1 = 3 , then
[tex]S_{15}[/tex] = [tex]\frac{1(3^{15}-1) }{3-1}[/tex] = [tex]\frac{14348907-1}{2}[/tex] = [tex]\frac{14348906}{2}[/tex] = 7174453 cents and
7174453 ÷ 100 = $71,744.53 → A
Why is making a record of withdrawals and deposits in your checkbook register a good practice?
Answer:
it helps you balance your checkbook
Step-by-step explanation:
Balancing your checkbook means that you do a check in your account that shows how much money is available.
I hope it helps❤️
D and E are points on sides AB and AC respectively of triangle ABC such that DE || BC. If AD = x-1, DB = x – 3, AE = x + 3 and EC = x , the value of x is:
9514 1404 393
Answer:
9
Step-by-step explanation:
The triangles are similar, so corresponding sides are proportional.
AE/AD = EC/DB
(x+3)/(x -1) = x/(x -3)
x^2 -9 = x^2 -x . . . . . . . cross multiply
x = 9 . . . . . . . . . . . add x+9-x^2 to both sides
Decide whether each statement is true or false.
You are less likely to roll a 3 than a 4 on a die.
True
False
(I'm not good with probability..)
what is the value of the expression below?
Answer:
C
Step-by-step explanation:
Using the rule of exponents/ radicals
[tex]a^{\frac{1}{2} }[/tex] = [tex]\sqrt{a}[/tex] , then
[tex]121^{\frac{1}{2} }[/tex] = [tex]\sqrt{121}[/tex] = 11 → C
Can you guys help me pleaseeeee!
Answer: A) True
Step-by-step explanation:
GF and KJ are marked with one dash indicating the are congruent. Same for FH and JL but this time it's marked with 2 dashes. Angles F and J are congruent because they are both right angles. So, we have a side congruent an angle congruent and a side congruent. We can use SAS to say they are congruent.
(Brainliest?)
a telephone pole is 24 feet tall
Answer:i honestly dont know just trying to get points
Step-by-step explanation:
a=10^x, b=10^yanda^y^*b*x=100then2xy=?
Answer:
Here is your answer
Step-by-step explanation:
xy = 1
Hope you like it : )
Write the equation of the line
a) Slope = -2
Y intercept=5
b) Slope = 0.5
Passes through (0,1)
solve for x and y, round to one decimal place
Answer:
x=48
y=50
Step-by-step explanation:
mark me as BRAINLIEST
follow me
carry on learning
correct me if im wrong
solve for x. round to the nearest tenth. If necessary
Answer:
x = 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 30°
Opposite Leg = 7
Hypotenuse = x
Step 2: Solve for x
Substitute in variables [sine]: sin(30°) = 7/x[Multiplication Property of Equality] Cross-multiply: x = 7/sin(30°)Evaluate: x = 14Answer:
x = 14
Step-by-step explanation:
Given :-
θ, angle = 30°Hypotenuse = xopposite side = 7Solution :-
Since, it's right triangle we can use trignometery equations;
In this case we need to use sine equation.
sin θ = opposite side / hypotenuse
plug the values
sin 30° = 7 / x.
cross multiplication
x = 7 / sin 30°
Evaluate
x = 7 / 0.5
x = 14
I will pay for the answer.
Answer:
D
8x^2-12x+5
thanx for youer sug
Answer:
[tex]8x^2-12x+5[/tex]
Step-by-step explanation:
This is the same as saying h(g(x)). All you do is take the g(x) equation and plug that in for x in the h(x) equation.
h(x) = 4x+1 Plug in g(x) equation for x
h(g(x)) = [tex]4(2x^2-3x+1)+1[/tex] Distribute the 4 and simplify
h(g(x)) = [tex]8x^2-12x+5[/tex]
Simplify the following expressions without using calculator 8/(2sqrt(6) + 3) - 4/(2sqrt(6) -3)
Step-by-step explanation:
[tex] \tt \longrightarrow \dfrac{8}{2 \sqrt{6} + 3 } - \dfrac{4}{2 \sqrt{6} - 3 } \\ \\ \tt \longrightarrow \dfrac{8(2 \sqrt{6} - 3) - 4(2 \sqrt{6} + 3)}{(2 \sqrt{6} + 3)(2 \sqrt{6} - 3 ) } \\ \\ \tt \longrightarrow \dfrac{16\sqrt{6} - 24 - 8 \sqrt{6} - 12}{(2 \sqrt{6} ) {}^{2} - (3) {}^{2} } \\ \\ \tt \longrightarrow \dfrac{8\sqrt{6} - 36}{24 - 9 } \\ \\ \tt \green{\longrightarrow \dfrac{8\sqrt{6} - 36}{15 }} [/tex]
Some plz help meeeeeeeeeeereee I really neeeeeeeeeddddddddd ittttttttttt
Use Venn diagrams notation to describe the shading of
A
B
Answer:
A ∩ B
Step-by-step explanation:
The shaded part is in common between the two diagrams
We can write this part in this way :
A ∩ B