Answer:
22.4
Step-by-step explanation:
using altitude theorem, the height of the triangle is 20
let y = height
10/y = y/40
y² = 400
y = [tex]\sqrt{400}[/tex] or 20
Now we can us the Pythagorean Theorem to find 'x':
10² + 20² = x²
100 + 400 = x²
x=[tex]\sqrt{500}[/tex] ≈ 22.4
4. This is a
function
5. The equation is
6. The value for f(-4) is
THREE NUMBERS BEHIND THE DECIMAL PT
Answer:
Step-by-step explanation:
4). This is an exponential function.
5). Let the equation of this function is,
f(x) = a(b)ˣ
Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,
For (-1, 4),
4 = a(b)⁻¹
4 = [tex]\frac{a}{b}[/tex] --------(1)
For (0, 6),
6 = a(b)⁰
a = 6
From equation (1),
4 = [tex]\frac{6}{b}[/tex]
b = [tex]\frac{6}{4}[/tex] = 1.5
Therefore, equation of the function will be,
f(x) = 6(1.5)ˣ
6). Now the value of f(-4) will be,
f(-4) = 6(1.5)⁻⁴
= 1.185
The overnight low temperature in Cassidy City was -27 Fahrenheit. The overnight low temperature in Shakerville was -6 Fahrenheit. How much warmer was shakerville than Cassidy City?
Answer:
Shakerville 21° warmer
Step-by-step explanation:
-27 + -6 = 21
If x + y = 12 and x = 2y, then x=
The value of x is equal to 8.
Given the following equation;
[tex]x + y = 12[/tex] .....equation 1
[tex]x = 2y[/tex] .....equation 2
To find the value of x, we would solve the system of equations by using the substitution method to determine the value of y;
Substituting eqn 2 into eqn 1, we have;
[tex]2y + y = 12[/tex]
[tex]3y = 12\\\\y = \frac{12}{3}[/tex]
y = 4
Next, we would solve for the value of x;
From equation 2;
[tex]x = 2y\\\\x = 2(4)[/tex]
x = 8
Therefore, the value of x is equal to 8.
Find more information: https://brainly.com/question/8409825
Work out the Area of the shape
Answer:
145.8cm squared
Step by step:
16.2 divided by 3 = 5.4cm
In the second line where 2 bricks are horizontal and 2 are vertical:
2x + 3y = 16.2
3y = 16.2 - 2 x 5.4
y = 1/3 x 5.4
y = 1.8cm
Hence, height and length of each triangle is 1.8cm and 5.4cm
Complete length = 16.2 cm
Complete height = 2y + x = 2 x 1.8 + 3.4
= 9 cm
Area overall = 16.2 x 9 = 145.8cm squared
Divide £60 in a ratio of 2:1
£40 and £20
Step-by-step explanation:
let the parts be 2x and x (2:1)
2x+x=£60
or, 3x= £60
or, x= £20
2x=2×£20=£40
x=£20
What is the exact circumference of the circle?
A 10π ft
B 20π ft
C 40π ft
D 60π ft
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Given,
Diameter (d) = 20 ft
Radius (r) = ?
[tex]r = \frac{d}{2} \\ r = \frac{20}{2} \\ r = 10 \: \: ft[/tex]
____________________
Now, we've to find the exact circumference (c) ..
[tex]c = 2\pi \: r \\ c = 2\pi \times 10 \\ c = 20\pi ft[/tex]
⎆ The answer is [tex]\large\bold{20π \ ft (option \ C)}[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
I need answers to the problem.
Step-by-step explanation:
x equals 40
.... good luck!
〖x/y^(-1) )〗^0 〖(x^(-1)/y^2 )〗^2 〖(xy^2)〗^(-1)
Exponent solving
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
Translate the sentence into an inequality.
Twice the difference of a number and 5 is at most 23.
Use the variable x for the unknown number.
Answer:
[tex] 2(x - 5)\leqslant \\23[/tex]
Step-by-step explanation:
or
[tex]2x - 10 \leqslant 23[/tex]
How many solutions does the equation 2 + 6(2 – 4) =
= 3x
18 + 3x have?
13. After Valentine's Day, boxes of chocolates go on sale and are marked down 10%. The
original price of a box of chocolates is $30. What is the sale price? (price after the discount)
A $3.00
C $27.00
B $5.00
D $33.00
Please help!! This test is super hard
Answer:
$27.00
Step-by-step explanation:
First, 10% of 30 = 3.
Second, 30 - 3 = 27
Hope this helps!
please answer
A number line is shown below. The numbers 0 and 1 are marked on the line, as are the two other rational numbers a and b
Will a - 1 be positive or negative? explain.
Answer:
I think it will be positive.
Step-by-step explanation:
Anything that is on the right hand side of the number line is always positive.
solve each equation:
A line passes through the points (4, -18) and (1, 3). What is its equation in slope-intercept
form?
Answer:
The slope intercept form is y= 7x -4
Simplify the expression. Write your answer using only positive exponents. Evaluate any numerical powers.
3^4⋅x⋅(3/x^2)^−2
show your work
Answer:
9x⁵Step-by-step explanation:
Use properties of exponents:
[tex]a^{b} a^{c} = a^{b+c}[/tex], [tex](a^{b} ^)^{c} = a^{bc}[/tex], [tex]1/a^{-b} = a^{b}[/tex]Simplify the given expression:
3⁴⋅x⋅(3/x²)⁻² = 3⁴·x·(3x⁻²)⁻² = 3⁴·x·(3⁻²)(x⁻²ˣ⁻²) =3⁴⁻²·x¹⁺4 =3²·x⁵ =9x⁵[tex]\\ \rm\Rrightarrow 3^4x\left(\dfrac{3}{x^2}\right)^{-2}[/tex]
[tex]\\ \rm\Rrightarrow 3^4x\times \left(dfrac{x^2}{3}\right)^2[/tex]
[tex]\\ \rm\Rrightarrow 3^4x\times\dfrac{x^4}{3^2}[/tex]
a^m×a^n=a^m+na^m/a^n=a^m-n[tex]\\ \rm\Rrightarrow 3^2x^5[/tex]
[tex]\\ \rm\Rrightarrow 9x^5[/tex]
Help me please!!! Whats the length for w?
Answer:
(The second option) sin40° = w / 28
Step-by-step explanation:
sin40° = opposite / hypotenuse
sin40° = w / 28
help me please please!!!!!!!!
Could someone please explain how to solve for the area?
9514 1404 393
Answer:
779.4 square units
Step-by-step explanation:
You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.
One central triangle will have a central angle of α = 360°/n. For example, a hexagon has a central angle of α = 360°/6 = 60°. The area of that central triangle is given by the formula ...
A = (1/2)r²sin(α)
Since there are n such triangles, the area of the n-gon is ...
A = (n/2)r²sin(360°/n)
__
For a hexagon (n=6) with radius 10√3, the area is ...
A = (6/2)(10√3)²sin(360°/6) = 450√3 ≈ 779.4 . . . . square units
What's the slope of the line passing through the points 9, 7 and 9 , -1
Answer:
Undefined slope
Human:
✧・゚: *✧・゚:* Answer: *:・゚✧*:・゚✧
✅ 5/4
I WOULD APPRECIATE BRAINLIEST!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
Fathers age is twice his daughter age but 16 years ago fathers age was 4 times his daughters age . Calculate their ages
Answer:
Father's age = 48
Daughter's age = 24
Step-by-step explanation:
Let x be father's age and y be daughter's age.
1st equation:
x = 2y
2nd equation:
(x - 16) = 4(y - 16)
Replacing value of x from 1st equation,
(2y - 16) = 4(y - 16)
2y - 16 = 4y - 64
4y - 2y = 64 - 16
2y = 48
y = 48/2
y = 24
And,
x = 2y
x = 2 x 24
x = 48
8x - x = 64 - 16
7x = 48
−7/8≤m−13/8
plz help i will give brain list if right
stay safe
Answer:
6/8≤m
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
-7/8≤m-13/8
+13/8 +13/8
6/8≤m
Answer:
answer m≥3/4 it is simplified form of 6/8
Step-by-step explanation:
thank i hope that help
find the value of x
Answer:
Let the length of missing side x.
x^2 = 16^2 + 30^2
x^2 = 1156
x = √1156
x = 36
Step-by-step explanation:
Hope it is helpful....
Answer:
Step-by-step explanation:
x ² = 16² +30²
x ² = 1156
x = √1156
x =34
Erik used the Factor Theorem to find the remainder of 2x3-4x2-28x+6 divided by x+3. If he calculated the remainder to be 0, what does that tell him?
Step-by-step explanation:
x + 3 = 0
x = - 3
f(x) = 2x³ - 4x² - 28x + 6
f(- 3) = 2(- 3)³ - 4(- 3)² - 28 x (- 3) + 6
= 2 x (- 27) - (4 x 9) + 84 + 6
= - 54 - 36 + 90
= - 90 + 90
= 0
Therefore,
x + 3 is factor of 2x³ - 4x² - 28x + 6
Find the minimum or maximum value of the function g(x)=−4x^2+16x−15
Martin Company currently produces and sells 33,000 units of product at a selling price of $15. The product has variable costs of $5 per unit and fixed costs of $43,000. The company earns a total contribution martin of
Answer:
$330,000
Step-by-step explanation:
The selling price per unit is $15
The variable cost per unit is $5
Units sold is $33,000
The contribution margin can be calculated as follows
(15-5)×33000
= 10 × 33000
= 330,000
Hence the contribution margin is $330,000
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Henry deposits $7500 in an account earning 2.75% interest compounded monthly. What is the balance in his account after 4 years?
A.$27,579.67
B.$20,160
C.$10,420.49
D.$8371.03
Answer:
Answer is D
Step-by-step explanation:
5+5 also i like people
Answer:
5+5=10 :D
Step-by-step explanation:
Answer:
huh
Step-by-step explanation:
Help me in 5 minutes
Answer:
it should be A and C
Step-by-step explanation:
peer reviews are supposed to help improve and edit unchecked writings, not improve relationships or socialize
What is a No solution? What is a infinite solution?
Answer:
No solution would mean that there is no answer to the equation. ... Infinite solutions would mean that any value for the variable would make the equation true?
Jeffrey buys a microscope priced at $333.74. Shipping and handing are an additional 10 of the price. How much shipping and handling will Jeffrey pay?