Answer:
let base = 6cm
perpendicular =x cm
hypotenuse =10cm
by using Pythagoras law
hypotenuse ²=perpendicular ²+base²
10²=x²+6²
100-36=x²
x=√64=8cm
the measure of the other leg is 8cm
The measure of the other leg of the right triangle is equal to 8 cm.
Let the other leg of the right triangle be the opposite side.Given the following data:
Adjacent = 6 cmHypotenuse = 10 cmTo find the measure of the other leg, we would apply Pythagorean's theorem:
Mathematically, Pythagorean's theorem is given by the formula;
[tex]Hypotenuse^2 = opposite^2 + adjacent^2[/tex]
Substituting the given parameters into the formula, we have;
[tex]10^2 = opposite^2+6^2\\\\100= opposite^2+36\\\\Opposite^2=100-36\\\\Opposite^2=64\\\\Opposite=\sqrt{64}[/tex]
Opposite = 8 cm
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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:
What is the 5th term in the sequence 64, 16, 4 ?
Answer: 1
Step-by-step explanation:
Answer:
1/4 because
1st term 64 : 64/4 = 16
2nd term 16 : 16/4 = 4
3rd term 4 : 4/4 = 1
4th term 1 : 1/4 = 1/4
5th term 1/4
Write the following in slope intercept form. 3x+5=2y
Step-by-step explanation:
Given
3x + 5 = 2y
Writing in slope intercept form
y = (3x + 5) / 2
y = 3/2 x + 5/2
Hope it will help :)
3x+5=2y
here's some answer's
if it is from exact then it is : y= 15/2
if it is from decimal then it is : y= 7.5
if it is from mixed number then it is : y 7 1/7
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
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
I WILL GIVE BRAINLIEST!!
Answer:
[tex]\text{D. The terms may be combined.}[/tex]
Step-by-step explanation:
Recall that [tex]\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}[/tex]. Using this, we can simplify and combine the two terms:
[tex]6\sqrt{32}-12\sqrt{72},\\=6\cdot \sqrt{4}\cdot \sqrt{8}-12\cdot \sqrt{9}\cdot \sqrt{8},\\=6\cdot 2\cdot \sqrt{8}-12\cdot 3\cdot \sqrt{8},\\=12\sqrt{8}-36\sqrt{8},\\=-24\sqrt{8}=-24\cdot\sqrt{4}\cdot\sqrt{2}=\boxed{-48\sqrt{2}}[/tex]. Therefore, the terms may be combined.
Find the minimum or maximum value of the function g(x)=−4x^2+16x−15
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!
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
How do I solve this using f.o.i.l
(Factoring trinomials)
−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
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?
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
Nancy lives in a state where sales tax is 9%. This means you can find the total cost of an item, including tax, by using the expression c + 0.09c, where c is the pre-tax price of the item.
Use the expression to find the total cost of an item that has a pre-tax price of $84.00.
9514 1404 393
Answer:
$91.56
Step-by-step explanation:
We can simplify Nancy's cost expression to ...
c +0.09c = c(1 +0.09) = 1.09c
The the total cost of the item of interest is ...
(1.09)($84) = $91.56
Solve the system and determine whether it is consistent or inconsistent and dependent or independent.
y = -5x – 2
5x + y = 0
help quickly!!!!! explanation needed. lots of points.
Answer:
29.3
Step-by-step explanation:
to find average you find the sum of all the minutes she practiced and divide it by the total amount of day she practiced.
first we have to find the sum of the minutes she practiced:
20+30+40+38+25+22+39+22+26+31
this equation is equal to 293 minutes she practiced in total. Now we have to divide this by the total amount of days she practiced whice according to the data is 10! So:
293/10 =29.3
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]
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
plese help with both of these
Answer:
Step-by-step explanation:
Explicit formula of a G.P. is given by,
[tex]a_n=a(r)^{n-1}[/tex]
Here, [tex]a_n[/tex] = nth term
a = First term
n = number of term
r = common ratio
Given sequence is 3, 6, 12, .......
a = 3
r = [tex]\frac{6}{3}[/tex] = 2
Therefore, explicit formula will be,
[tex]a_n=3(2)^{n-1}[/tex]
Option (3) is the answer.
Parent function → f(x) = 3ˣ
Transformed function → g(x) = [tex]3^{x+5}[/tex]
Since, g(x) = f(x + 5)
Therefore, function 'f' has been shifted 5 units left.
Option (1) is the answer.
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
5x + 13 + (2y-7)i = -2 + i please please help
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?
Find A if 30% of A equals 30% of 30 plus 30
5+5 also i like people
Answer:
5+5=10 :D
Step-by-step explanation:
Answer:
huh
Step-by-step explanation:
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
How many solutions does the equation 2 + 6(2 – 4) =
= 3x
18 + 3x have?
〖x/y^(-1) )〗^0 〖(x^(-1)/y^2 )〗^2 〖(xy^2)〗^(-1)
Exponent solving
✓ = 2x²-4
Is it linear or nonlinear
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