Answers
Answer:
Step-by-step explanation:
6) Let John's sister age be x
John's age = [tex]\frac{1}{2}x+7[/tex]
[tex]\frac{1}{2}x+7 = 35\\[/tex] {Subtract 7 from both sides}
[tex]\\\frac{1}{2}x=35-7\\\\\frac{1}{2}x=28\\\\x=28*2[/tex]
x = 56
His sister's age = 56 years
7) Longest side is hypotenuse. Use Pythagorean theorem.
hypotenuse² =base² + altituse²
15² = 12² + 9²
225 = 144 + 81
225 = 225
So, Pythagorean theorem is satisfied. So, 15cm , 12 cm ,9 cm will make a right angled triangle.
9) q = -1
7p + 5q -3 = 0
7p + 5*(-1) - 3 = 0
7p -5 - 3 = 0 {Combine like terms}
7p - 8= 0
7p = 8 {Divide both sides by 7}
p = 8/7
10) 8 - 3(x + 1) = 5 {Distributive property: a(b + c) = a*b + a*c}
8 - 3x - 3 = 5 {Combine like terms}
-3x + 5 = 5 {Subtract 5 from both sides}
-3x = 5 - 5
-3x = 0
x = 0
11) -20x⁴ - 7x³ + 5x² + 20 - ( 8x⁴ -7x² + 29x - 17)
= -20x⁴ - 7x³ + 5x² + 20 - 8x⁴ + 7x² - 29x + 17
= -20x⁴ - 8x⁴ - 7x³ + 5x² + 7x² - 29x + 20 + 17
= -28x⁴ -7x³ + 12x² - 29x + 37
Related Questions
Find the slope and y intercept on the graph
Answers
Answer:
slope should more than likely be y = -2 + x = 1
Step-by-step explanation:
Use the long division method to find the result when 12x^3+17x^2+12x+4 is divided by 3x + 2.
Answers
Answer:
Step-by-step explanation:
not sur
e
Answer: 307 ÷ 24 = 209 ÷ 32 = 456
Step-by-step explanation:
Divide Rs 60 into the ratio of 1:4
Answers
Answer:
12: 48
Step-by-step explanation:
There are a total of 5 parts in 1:4, so one part would be:
60/5 = 12
This means the ratio is 12: 4 * 12 or 12: 48
If an = a1 x 5^n-1 and a1=1
what is the value of a5?
Answers
Same as before this test... is just driving me crazy I'm blowing all my points through these so...
Answers
Answer and Step-by-step explanation:
For this, you would need to use the trigonometric function Sine and cosine.
The trig equations are:
sin(θ) = [tex]\frac{opposite - side}{hypotenuse}[/tex]
cos(θ) = [tex]\frac{adjacent-side }{hypotenuse}[/tex]
Let's start with Sine:
sin(60) = [tex]\frac{x}{10\sqrt{3} }[/tex]
Multiply both sides of the equation by [tex]10\sqrt{3}[/tex].
[tex]10\sqrt{3} (sin(60)) = x[/tex]
Input into calculator and solve.
x = 15
Now for Cosine:
cos(60) = [tex]\frac{y}{10\sqrt{3} }[/tex]
Multiply both sides of the equation by [tex]10\sqrt{3}[/tex].
[tex]10\sqrt{3} (cos(60)) = x[/tex]
Input into calculator and solve.
y = [tex]5\sqrt{3}[/tex]
x = 15
y = [tex]5\sqrt{3}[/tex]
These are the answers.
I hope this helps!
#teamtrees #PAW (Plant And Water)
Step-by-step explanation:
It's a right triangle with one of the angles being 60°. This means that the leftover angle is 30°. This allows me to use the attached screenshot as a reference, so please check it out if you want to understand how to easily solve those types of equations in the future. Anyway, we can specify the hypotenuse as [tex]a[/tex] .
First, let's calculate the value of [tex]y[/tex].
[tex]a[/tex] = [tex]10\sqrt{3}[/tex]
[tex]y[/tex] = [tex]\frac{a}{2}[/tex]
[tex]y[/tex] = [tex]\frac{10\sqrt{3} }{2}[/tex]
[tex]y[/tex] = [tex]5\sqrt{3}[/tex]
----
Now, let's get to [tex]x[/tex]
[tex]a[/tex] = [tex]10\sqrt{3}[/tex]
[tex]x[/tex] = [tex]\frac{a\sqrt{3} }{2}[/tex]
[tex]x[/tex] = [tex]\frac{10 \sqrt{3} * \sqrt{3}}{2}[/tex]
[tex]x[/tex] = [tex]\frac{10 * 3}{2}[/tex]
[tex]x[/tex] = [tex]\frac{30}{2}[/tex]
[tex]x[/tex] = [tex]15[/tex]
----
[tex]x[/tex] = [tex]15[/tex] and [tex]y[/tex] = [tex]5\sqrt{3}[/tex]
9 less than m squared
Answers
Answer: b = m
(3 + m)(3 - m)
Step-by-step explanation:
Need help asap thank you
Answers
factor completely 21x^3+35x^2+9x+15
Answers
Answer:
(3x+5)(7x^2+3)
Step-by-step explanation:
Factor : 21x^3+35x^2+9x+15
21x^3+35x^2+9x+15
=(3x+5)(7x^2+3)
______________________
Hope this helps!
How are angles 7 and 8 related
Answers
Answer:
∠8 and ∠7 are a linear pair; they are supplementary. Their measures add up to 180°. Therefore, ∠7 = 180° – 53° = 127°.
Step-by-step explanation:
Have great day!!!!
Explain why rational expressions have restrictions
Answers
Answer:
Mostly for simplifying, the restrictions are the same no matter is being simplified or not. The restriction of a rational expression is always in the denominate
Step-by-step explanation:
can some pls help me find the slope of this line i really really need help
Answers
Answer:
Slope = Rise over Run
Rise = 2
Run = 3
Slope = 2/3
Let me know if this helps!
Submarines use sonar systems, which are similar to radar systems, to detect obstacles. Sonar systems use sound to detect objects underwater.
a. You are traveling underwater in a submarine. The sonar system detects an iceberg 4000 meters ahead, with an angle of depression of 34∘ to the bottom of the iceberg. How many meters must the submarine lower to pass under the iceberg?
The submarine must lower at least ____ meters.
Question 2
b. The sonar system then detects a sunken ship 1500 meters ahead, with an angle of elevation of 19∘ to the highest part of the sunken ship. How many meters must the submarine rise to pass over the sunken ship?
The submarine must rise at least ____ meters.
Answers
Answer:
a. tan(34)= O/4000 and follow the solving to get the distance it must be lowered
b. (Same idea as a) tan(19)=1500/A and solve to get the distance
The submarine must lower at least 2698 meters and the submarine must rise at least 516.45 meters.
Given that, the sonar system detects an iceberg 4000 meters ahead, with an angle of depression of 34∘ to the bottom of the iceberg.
What are trigonometric angles?Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.
a) We know that, tan θ = (Perpendicular/Base)
Let the number of meters must the submarine lower to pass under the iceberg be x.
tan θ = x/4000
⇒ tan 34° = x/4000
⇒ 0.6745 = x/4000
⇒ x = 0.6745 × 4000
⇒ x = 2698 meters
b) Let the number of meters must the submarine rise to pass over the sunken ship be y.
tan θ = y/1500
⇒ tan 19° = y/1500
⇒ 0.3443 = y/1500
⇒ y = 0.3443 × 1500
⇒ y = 516.45 meters
Therefore, the submarine must lower at least 2698 meters and the submarine must rise at least 516.45 meters.
Learn more about the trigonometric angles visit:
https://brainly.com/question/24174128.
#SPJ2
neeed help nooiw right now
Answers
Answer:
slope is 1/3 and y-intercept is (0, 1)
Answer:
the slope is 3,5 or 6 i think hope it is right
The expression 9a + 7c gives the cost (in dollars) for a adults and c children to eat at a buffet restaurant.
a. The cost for 1 adult is?
The cost for 1 child is?
b. The total cost for 1 adult and 3 children is?
c. Is $30 enough for a family of 2 adults and 2 children to eat at the buffet?
Answers
Answer:
a. $16
b. $30
c. for 2 adults and 2 children it is $32, so they are $2 short.
Step-by-step explanation:
i hope this helps :)
Multiply (5x-2)^2
A: 25x^2 - 4
B: 25x^2 - 10x + 4
C: 25x^2 - 20x + 4
D: 25x^2 + 20x + 4
Say a answer not a website
Answers
If the constant bounding the error in the Euler method is 0.2 and you wanted a 9 decimal place accuracy, how many steps, n, would you need ensure this accuracy?
Answers
Answer:
The answer is "13".
Step-by-step explanation:
Euler method=e=0.2 constantly binding the error
Precision should be 9 decimal places=0.000000001
The number of steps should be n.
In order to guarantee precision,
[tex]\to 0.2^n> 0.000000001\\\\ \to n> \frac{\log(0.000000001) }{\log(0.2)} \\\\ \to 12.876 \approx 13[/tex]
4, 6, 9, ... find the 7th term.
Answers
Answer:
16
Step-by-step explanation:
Here,
a=4
d= t1 - t2
=6-4
=2
tn = a +(n-1)d
t7 = 4+ (7-1)2
= 4+ 6×2
= 4 + 12
= 16
what is 2+2
haha take all the points and mark me brainliest and like
Answers
Answer:
4
Step-by-step explanation:
Lian was asked to write an equation and solve this problem.
Shonda has some small spoons and 40 large spoons. If she has 68 spoons total, how many small spoons does Shonda have?
Lian’s work is shown below.
Steps
Lian’s Work
Step 1
s + 40 = 68
Step 2
s + 40 minus 40 = 68 minus 40
Step 3
s = 28
In which step, if any, did Lian first make a mistake in her work?
step 1
step 2
step 3
no mistake Who wanna mha (my hero academia anime rp wit me plz dont report)
Answers
Answer:
Its no mistake
Step-by-step explanation:
I got it right
If a f=23cm, find the length of EC.
Answers
Answer:
37.3
Step-by-step explanation:
The length of EC shown in the diagram is 37.3.
"To understand the calculation, check below."
TrianglesΔBE -ΔAE= ΔAB
ΔAB=180°-148°
ΔAB=32°
ΔBE -ΔAB-ΔBC=ΔCD (Congruent angles)
ΔCD = 180-32-87
ΔCD =62
EC=61+32
EC=93
L=93•2pi23/360
L=37.3
Therefore , EC=37.3
Learn more about "Congruent angles":
https://brainly.com/question/2789152?referrer=searchResults
please i have a hw and i need help
Answers
Answer:
11: A. Some ferrets are longer than some fishers.
12: The range for the fisher is 25cm greater than for the ferret.
13. The mean for the ferret is 11cm less than for the fisher.
5. Probably 18 members.
6. Probably 210
Can someone help me with this please?
Answers
Answer:
the function is linear
Step-by-step explanation:
now you figure this out in many ways,
but the easiest is to plot the points on a Cartesian x-y plane, rule a line through the points,if it's in a straight line then its linear if it's a curve its cubic
from the question, after plotting your points.ie (-9,-2),(-5,-7),(-1,-12),(3-17)
we get a straight line pointing downwards.
I hope this is convenient enough
Im having trouble with these and ive been staring at my screen for over an hour- I just need to know the answer-
Answers
Answer:
(-3, 4)
It doesn't show any coordinates so I assume that the origin is where the x and y axes intercept
Question 3: (-3, 4)
Question 6: C
Question 10: (-1, 0)
Question 7: x = -3
What is the measure of an angle that is the supplement of angle K?
A.
30°
B.
50°
C.
None of the above
D.
60°
E.
40°
Answers
Answer:
is the measure of an angle that is the supplement of angle K=180-150=30
A.is your answer
Write a complete two-column proof for following information.
Given: AB = 3y - 1, BC = 7y, AC = 29
Prove: AB = 8
Answers
Because:
AB = 3*3-1 = 8; BC = 7*3 = 21; AC = AB+BC = 29
The area of rectangular is 64m the length of the pool is 12 m less that the width .The situation can be represented by the equation x
Answers
Answer:
Width = 16 m
Length = 4 m
Step-by-step explanation:
The area of rectangular is 64m² the length of the pool is 12 m less that the width . The situation can be represented by the equation x
Area of a rectangle = Length × Width
L = W - 12
Hence:
64 = (W - 12) × W
64 = W² - 12W
W² - 12W - 64 = 0
Factor using
(W + 4)(W - 16) = 0
Width = 16m
Length = W - 12
Length = 16 m - 12 m
= 4 m
1) Enter the value of n that makes the equation 4^6• 4^n= 4^9 true.
Answers
please please please please helppppp
Answers
4. A
5. B
Answer:
3: D 4: A 5: B not completely sure about 5 though
i really need help with this:
Jasmine drew a rectangle with an area of 4 square inches. Jasmine drew a new scaled version of the original rectangle using a scale factor of 5. What is the area, in square inches, of the new rectangle?
Answers
Answer:20
Step-by-step explanation:
i wrote 10 for some reason
Please help will give you Brainliest *image
