Step-by-step explanation:
In triangle ABD,
ang.ABD=90°
AB=9 cm
AD=15 cm
Now,
Using Pythagoras theorem,
AD2=AB2+BD2(2=square)
or,152=92+BD2
or,225=81+BD2
or,225-81=BD2
or,144=BD2
or,BD=12 cm
Then,
In triangle CBD,
CD=5 cm
BD=12 cm
BC=?
Now,
Using Pythagoras theorem,
BC2=CD2+BD2
or,BC2=52+122
or,BC2=25+144
or,BC2=169
or,BC=13 cm
simplify -16a⁴+8a³-4a²÷4a²
Answer:
The answer would be -16a⁴+8a³-1
The -4a² and 4a² cancel each other out so you put 1 in its place
Everything is in da pic!
Problem 5
Answer: $490-------------------------
Explanation:
When we increase some value by 7%, we are effectively multiplying by 1.07
Note how 100% + 7% = 107% = 1.07
The 1.07 multiplier is then handy to use algebra to find the cost before tax is added
x = cost before tax
1.07x = cost after tax
1.07x = 524.30
x = 524.30/1.07
x = 490
Before tax, the water heater cost $490.
If we apply a 7% tax, then we pay 7% of 490 = 0.07*490 = 34.30 dollars on top of the $490 to get 490+34.30 = 524.30 which matches with the instructions. So our answer is verified.
Or you could use the 1.07 multiplier shortcut to see that 1.07*490 = 524.30
======================================================
Problem 6
Answer: $1301.12-------------------------
Explanation:
His gross pay is $1750. This is the amount he earned before any taxes are applied. The items of Medicare, Social Security, and Federal Withholding Income Tax, are all various taxes that Ian has to pay. So his gross pay will be reduced to some smaller value to get the net pay.
To find the total amount of taxes deducted from his paycheck, we add up the tax percentage values to get: 1.45+6.2+18 = 25.65
This means Ian is taxed at a total rate of 25.65% of his gross pay, and he has to pay 0.2565*1750 = 448.875 = 448.88 dollars to the government. This leaves 1750-448.88 = 1301.12 dollars left over for his net pay.
A slightly alternative way is to note how if Ian pays 25.65% of his gross pay, then he's left with 100% - 25.65% = 74.35% of his paycheck, and 0.7435*1750 = 1,301.125 which would round down to 1301.12
I'm rounding up when it comes to determining the amount of tax to pay, while rounding down any amount Ian has left over for his net pay. This ensures that we consider the worst-case scenario.
What is the unknown side length, p, in the triangle shown below?
Answer:
9
Step-by-step explanation:
To solve this, you need to find the proportion.
p is a leg of the large triangle, and the leg to the small triangle is 6.
8 is another leg of the small triangle, and 8+4 is the leg of the large triangle.
So [tex]\frac{small triangle}{big triangle} = \frac{small triangle}{big triangle\\}[/tex]
[tex]\frac{8}{12} =\frac{6}{p}[/tex]
[tex]\frac{2}{3} =\frac{6}{p}[/tex]
cross multiply to get 2p=18
divide both sides by 2
p=9.
Classify this triangle by its sides and angles.
Answer:
obtuse equilateral
Step-by-step explanation:
shapes are easy :)
Answer:
obtuse scalene give crdit to the answer above
Which of the following shows a proper representation of vector addition using the head-to-tail method? Vector u + v goes up and to the right. 2 other vectors share the same origin and go to the left. Vector u + v goes up and to the right. 2 other have their terminal points on vector u + v. Vector u + v goes up and to the right. Another vector shares the same origin and shares a terminal point with another vector origin. The second vector shares a terminal point with vector u + v. Vector u + v goes up and to the right. 2 other vectors share the same origin. One goes up and to the right and the other up and to the left.
Answer:
3rd graph
Step-by-step explanation:
Edge 2021
Answer:
3rd graph
Step-by-step explanation:
The product of a number and -3 increased by 8 is no less than 35.
Answer:
x = -9
Step-by-step explanation:
-3x + 8 =35
-3x = 27
x = -9
Answer:
x=-9. Success to the homework.
Explain Three obligations of a bursary.
Answer:
1. you need to have very very good marks, 2.you need to always pass and not fail because it you do you will have to pay for your self 3.
The three obligations of a bursary student are:
Student must be Registered in the institutionStudent has to be on good academic standing; The course of study must be in the area of interest.What is bursary?A bursary is a financially support set out especially for one in university or college to enable them see through their academics
Obligations of bursary depends more on the body financing it but generally one must
Be a registered student on the required institutionBe on a good academic standing as contained in the eligibility of the bursary.Be on the catchment area of the bursaryRead more on bursary here: https://brainly.com/question/26045714
Need po ang answers ASAP nganong po exam namin
Give the opposite of each given interger
-56
-340
+39
+201
+1124
Identify what solid figure is being formed by combining the following plain figures
Six squares
Four rectangles and two squares
One rectangle and two circle
Eight triangles
One square and four triangles
fuction or not fuction?
PLS HELP ME FIND THE LENGTH OF AB!!
The area of the pacific ocean is approximatley 6.4x10^7 square miles. The area of the gulf of mexico is approximately 10^5 square miles. How many times greater is the area of the pacific ocean than the area of the gulf of mexico
Answer:
640 times greater
Step-by-step explanation:
Given the following
area of the pacific ocean = 6.4x10^7 square miles
area of the gulf of mexico = 10^5 square miles
Taking the ratio of the distances
pacific ocean/gulf of mexico = 6.4x10^7/10^5
pacific ocean/gulf of mexico = 6.4 * 10^2
pacific ocean/gulf of mexico =640
pacific ocean = 640gulf of mexico
Hence the area of the pacific ocean us 640 times greater than the area of the gulf of mexico
Can anyone help me with this math equation the picture is down below!!
Answer:
[tex] \frac{1}{3} [/tex]
is your answers
hope so it is helpful to u
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Find the GCF of 5 and 15. It's 5.Divide both numbers by 5. 5 divided by 5 is 1. 15 divided by 5 is 3.Reassemble the numbers. You now have 1 over 3. We simply just made the numbers smaller, so we keep them in the same placeA Ferris wheel at the local fair has a diameter of 36 feet and a midline of 15 feet. This Ferris wheel makes one revolution every 60 seconds. If Amanda and Steve are riding on this Ferris wheel, which equation could be used to model d, the distance Amanda and Steve are from the ground as they ride the Ferris wheel as a function of time, t?
Answer:
Hold on let me seee!!!!!!!
Nucleus
Diagram A
Diagram B
1.4.1
Name the Kingdom represented by each of the following
(1)
(a) Organism A
(1)
(b) Organism B
Answer:
what is the question, it is unclear
Given u = 4v – 3t, find
(a)the value of u when v = 5 and t = -1,
(b) the value of t when v = 2 and u = -10.
Answer:
u = 23 and t = 6
Step-by-step explanation:
Given
u = 4v - 3t
(a)
u = 4(5) - 3(- 1) = 20 + 3 = 23
(b)
- 10 = 4(2) - 3t
- 10 = 8 - 3t ( subtract 8 from both sides )
- 18 = - 3t ( divide both sides by - 3 )
6 = t
HELP PLEASE HURRY!!!!!!!!!!!!!
Answer:
i would say its b
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
Lyle bought a baseball card for $800. If the value of the card decreases by 1.5% each year, find the value of the card after 12 year
A)615.92
B)642.85
C)667.31
D)683.72
Answer:
FV= $669.11
Step-by-step explanation:
Giving the following information:
Purchase price (PV)= $800
Decrease value (d)= 1.5% per year
Number of periods (n)= 12 years
To calculate the value of the card after 12 years, we need to use the following formula:
FV= PV / (1 + d)^n
FV= 800 / (1.015^12)
FV= $669.11
I need helppppp pleaseeeeee!
Answer: 147
Step-by-step explanation:
never is 42% of 350 people
so, 42/100 * 350= 147
UWU
Hi can anyone help me with this question without the use of calculators please?
Answer:
[tex]\frac{11}{6}[/tex] units
Step-by-step explanation:
To find the x- intercepts let y = 0 , that is
6x² - 7x - 3 = 0 ← in standard form
(3x + 1)(2x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - [tex]\frac{1}{3}[/tex]
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
Find the difference of the 2 x- intercepts using absolute value
distance = | [tex]\frac{3}{2}[/tex] - (- [tex]\frac{1}{3}[/tex] ) | = | [tex]\frac{3}{2}[/tex] + [tex]\frac{1}{3}[/tex] | = | [tex]\frac{11}{6}[/tex] | = [tex]\frac{11}{6}[/tex]
Pls help I would appreciate it
Answer:
iii only is correct answer
Write an equation of the line that passes through (−5, −2) and is parallel to y=23x+1 ? help please
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
Step-by-step explanation:
4.75%
Suppose X is normally distributed with mean 20 and standard deviation 4, find the value x0 such that P(X ≥ x0) = 0.975.
Answer:
12.16
Step-by-step explanation:
From your question, we have the following information
Mean = u = 20
Standard deviation sd = 4
P(X>Xo) = 0.975
1-0.975 = 0.025
P(z<Xo-20/4) = 0.025
Xo-20/4 = -1.96
We cross multiply
Xo - 20 = -1.96 x 4
Xo - 20 = -7.84
Xo = -7.84+30
Xo = 12.16
12.16 is the value of Xo and therefore the answer to this question.
Thank you!
 HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT
Answer:
Step-by-step explanation:
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
-
b
±
b
2
-
4
(
a
c
)
2
a
Substitute the values
a
=
2
a
=
2
,
b
=
−
6
b
=
-
6
, and
c
=
5
c
=
5
into the quadratic formula and solve for
x
x
.
6
±
√
(
−
6
)
2
−
4
⋅
(
2
⋅
5
)
2
⋅
2
6
±
(
-
6
)
2
-
4
⋅
(
2
⋅
5
)
2
⋅
2
Simplify.
Tap for fewer steps...
Simplify the numerator.
Tap for fewer steps...
Raise
−
6
-
6
to the power of
2
2
.
x
=
6
±
√
36
−
4
⋅
2
⋅
5
2
⋅
2
x
=
6
±
36
-
4
⋅
2
⋅
5
2
⋅
2
Multiply
−
4
-
4
by
2
2
.
x
=
6
±
√
36
−
8
⋅
5
2
⋅
2
x
=
6
±
36
-
8
⋅
5
2
⋅
2
Multiply
−
8
-
8
by
5
5
.
x
=
6
±
√
36
−
40
2
⋅
2
x
=
6
±
36
-
40
2
⋅
2
Subtract
40
40
from
36
36
.
x
=
6
±
√
−
4
2
⋅
2
x
=
6
±
-
4
2
⋅
2
Rewrite
−
4
-
4
as
−
1
(
4
)
-
1
(
4
)
.
x
=
6
±
√
−
1
⋅
4
2
⋅
2
x
=
6
±
-
1
⋅
4
2
⋅
2
Rewrite
√
−
1
(
4
)
-
1
(
4
)
as
√
−
1
⋅
√
4
-
1
⋅
4
.
x
=
6
±
√
−
1
⋅
√
4
2
⋅
2
x
=
6
±
-
1
⋅
4
2
⋅
2
Rewrite
√
−
1
-
1
as
i
i
.
x
=
6
±
i
⋅
√
4
2
⋅
2
x
=
6
±
i
⋅
4
2
⋅
2
Rewrite
4
4
as
2
2
2
2
.
x
=
6
±
i
⋅
√
2
2
2
⋅
2
x
=
6
±
i
⋅
2
2
2
⋅
2
Pull terms out from under the radical, assuming positive real numbers.
x
=
6
±
i
⋅
2
2
⋅
2
x
=
6
±
i
⋅
2
2
⋅
2
Move
2
2
to the left of
i
i
.
x
=
6
±
2
i
2
⋅
2
x
=
6
±
2
i
2
⋅
2
Multiply
2
2
by
2
2
.
x
=
6
±
2
i
4
x
=
6
±
2
i
4
Simplify
6
±
2
i
4
6
±
2
i
4
.
x
=
3
±
i
2
x
=
3
±
i
2
The final answer is the combination of both solutions.
x
=
3
2
+
i
2
,
3
2
−
i
2
x
=
3
2
+
i
2
,
3
2
-
i
2
convert 12 mm into m please help
Answer:
0.012 meters
Step-by-step explanation:
12/1000 = 0.012
Answer:
0.012
Step-by-step explanation:
divide length value (12 in this case) by 1000
"Arc Length and Area"
Explanation needed
we know that a whole circle is found using π[tex]r^{2}[/tex].
So π[tex]10^{2}[/tex] = 314
so now we know that the whole circle is 314 squared units, we need to find the specific portion.
Oh wait, i learned this lol,
formula for area of sector
As (areas of sector) = π[tex]r^{2}[/tex]([tex]\frac{θ}{360}[/tex])
As (areas of sector) = π[tex]10^{2}[/tex]([tex]\frac{θ}{360}[/tex])
100 times 3.14
314 (43/360)
314(0.12)
As (areas of sector) = 37.68
I hope this finds you well, and have a great day.
plz help me I only have 2 minutes left winner gets brainliest
Select the advantage of burning coal in order to generate electricity
the least energy-efficient fossil fuel.
a renewable energy source.
an inexpensive source of energy.
a non-polluting source of energy.
Answer:
an inexpensive source of energy.
explanation:
hope u hav a gud day ^-^
There are 40 dogs and 32 cats. Find the ratio of dogs to cats.
Answer:
5:4
Step-by-step explanation:
40:32
20:16
10:8
5:4
Answer:
Step-by-step explanation:
5:4 For every 5 dogs there are 4 cats
40/8 =5
32/8= 4
i’ll give brainliest
Answer:
Step-by-step explanation:
4) Angles opposite to equal sides are equal
45 + 45 + x = 180 {Angle sum property}
90 +x = 180 {Subtract 90 from both sides}
x = 180 - 90
x = 90
120 +y + y = 180 {Angle sum property}
120 +2y = 180 {Subtract 120 from both sides
2y =180 - 120
2y = 60 {Divide both sides by 2}
y = 60/2
y = 30
5)All sides are equal. so this is a equilateral triangle.
So each angle of equilateral triangle = 60
4x = 60
x = 60/4
x = 15
y = 60 +60 {Exterior of triangle equal sum of opposite interior angles}
y = 120
6) All sides are equal. so this is a equilateral triangle.
So each angle of equilateral triangle = 60
y - 10 = 60 {add 10 to both side}
y = 60 + 10
y = 70
x + 5 = 60 {Subtract 5 from both sides}
x = 60 - 5
x = 55