Answer:
18. [tex] x = 8 [/tex]
19. [tex] c = 9 [/tex]
20. [tex] d = \sqrt{10} [/tex]
21. 83 1/3 ft
22.
a. decay
b. growth
c. decay
Step-by-step explanation:
18.
[tex] \sqrt{x + 1} + 12 + 10 = 25 [/tex]
[tex[ \sqrt{x + 1} = 3 [/tex]
Square both sides.
[tex] x + 1 = 9 [/tex]
[tex] x = 8 [/tex]
19.
[tex] a^2 + b^2 = c^2 [/tex]
[tex] (\sqrt{75})^2 + (\sqrt{6})^2 = c^2 [/tex]
[tex] 75 + 6 = c^2 [/tex]
[tex] 81 = c^2 [/tex]
[tex] c = 9 [/tex]
20.
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] d = \sqrt{(3 - 4)^2 + (-9 - (-6))^2} [/tex]
[tex] d = \sqrt{(-1)^2 + (-3)^2} [/tex]
[tex] d = \sqrt{1 + 9} [/tex]
[tex] d = \sqrt{10} [/tex]
21.
Max: 5 ft tall; 3 ft shadow
Building: x ft tall; 50 ft shadow
5 ft is to 3 ft as x ft is to 50 ft
5/3 = x/50
3x = 250
x = 250/3
x = 83 1/3
Answer: 83 1/3 ft
22.
Exponential function:
y = a(b)^x
b is the number in parentheses raised to exponent x.
If b > 1, it is growth.
If b is between 0 and 1, it is decay.
Look at each case.
a. 0.85 is between 0 and 1: decay
b. 1.025 > 1: growth
c. 0.682 is between 0 and 1: decay
An airplane travels 4374 kilometers against the wind in 6 hours and 5514 kilometers with the wind in the same amount of time. What is the rate of the plane in
still air and what is the rate of the wind?
Answer:
air = 95 mph
plane = 824 MPH
Step-by-step explanation:
6(x-y) = 4374
6(x+y)= 5514
6x - 6y = 4375
6x + 6y = 5514
12x = 9889
x = 824 mph
y = 95 mph
Geometry, please answer question ASAP
Answer:
It's 5 which is A.
Step-by-step explanation:
Find the value of x to the nearest tenth.
Answer:
around 4.1
Step-by-step explanation:
Using Pythaogrean theorem we get sqrt 32 or 4sqrt2 for the diagonal of the square.
To get x we can use Pythagorean theorem again to set up an equation,
32 + x^2 = 49
This gives us x = sqrt17, which is approximately 4.1231 or around 4.1
Answer:
Step-by-step explanation:
Write in detail 5 goods that you get using money currency and 5 services that you can get using money currency.
The goods that money can buy include soap, bag, shoe, radio, television etc. The services that can be gotten include barbing, teaching, tailoring, catering, auditing etc.
Money is important in our everyday lives. We use money to make purchases of goods and it serves as a medium of exchange.
We can use money to buy goods like shoes, jewelry, radio, phone, bag, etc. When we need services such as barbing of our hair, teaching, tailoring, catering, auditing etc, we can make the purchase through money and the services will be given to us.
Read related link on:
https://brainly.com/question/11681948
Which relation is also a function
Answer:
A
Step-by-step explanation:
for a function there is only 1 output value for every input and the first option is the only one which meets that requirement
What is the standard form for the quadratic function? g(x)=(x−6)2−5
Answer:
x^2-12x+31
Step-by-step explanation:
Standard form of the quadratic equation (x-6)^2-5 is x^2-12x+36-5=x^2-12x+31
If a point is equidistant from the endpoint of segment, then it is
Hi
.... then it is located on the perpendicular bisector.
The second one write it on the paper and take a picture
Answer:
The common for the second question is 30
Answer:
39/30 Here 30 will be common in denominators
Step-by-step explanation:
6/15×2/2=12/30
3/10×3/3=9/30
3/5×6/6=18/30
= 12/30+9/30+18/30
39/30
What type of triangle has side lengths 2, squareroot12, and 19?
A. acute
B. not a triangle
C. obtuse
D. right
Answer:
Step-by-step explanation:
Im gonna guess C, not sure. good luck tho
Boston wheel chair marathon how long would it take to run a 30 mile race
what is the additive inverse of -61
Answer:
The additive inverse of -61 is 61. For additive inverse just reverse the sign.
The number of dogs a family has and the amount of floor cleaner used are known to have a strong positive association. Jaylen concluded that the number of dogs causes an increase in floor cleaner usage. Is Jaylen's conclusion valid? Explain.
Answer:
Jaylen's conclusion is not valid because association does not imply causation.
Step-by-step explanation:
Help with this? Anyone know how to do it? It’s due in the morning
Using pythagorean theorem
[tex]\\ \sf\longmapsto B^2=H^2-P^2[/tex]
[tex]\\ \sf\longmapsto x^2=13^2-5^2[/tex]
[tex]\\ \sf\longmapsto x^2=169-25[/tex]
[tex]\\ \sf\longmapsto x^2=144[/tex]
[tex]\\ \sf\longmapsto x=\sqrt{144}[/tex]
[tex]\\ \sf\longmapsto x=12[/tex]
Answer:
x = 12
Step-by-step explanation:
→ State Pythagoras theorem
a² + b² = c²
→ Rearrange to make b the subject
b² = c² - a²
→ Square root everything
b = √c² - a²
→ Substitute in the numbers
b = √13² - 5²
→ Simplify
b = 12
x-1/(x+1)(x-5)
In 10 words or fewer, tell what value of x will make the above rational
expression equal to zero.
Answer:
x=1
Step-by-step explanation:
x-1/(x+1)(x-5)
When the numerator is equal to zero and the denominator is not equal to zero
x-1= 0
x=1
the cost of plastering a wall of a room having length 8m and heights 4m at Rs 15 per m² is Rs 1560 . find the cost of carpeting the room at rs 300 per m²
Step-by-step explanation:
here ,
length = 8m
height=4m
Rate of plastering 4 walls = 15/m^2
Cost of plastering 4 wall = Rs 1560
Area of floor = Cost of plastering / Rate of plastering
= 1560/15
= 104
again,
Area of four wall = 2h(l+b)
or, 104= 2×4(8+b)
or, 104 =8(8+b)
or, 104/8=8+ b
or,13 - 8= b
or, b= 5
again,
Area of floor= l×b
= 8×5
= 40
again,
Rate of carpeting the floor= 300/ m^2
Area of floor = 40 m^2
cost of carpeting=Rate × Area
= 300×40
= 12000
What is the base area of the cone?
Answer:
Step-by-step explanation:
In order to find the area of the circle base, we need the radius, and we don't have it. We'll use the volume to find the radius, as follows:
[tex]V=\frac{1}{3}\pi r^2h[/tex] and fill in the givens:
[tex]75=\frac{1}{3}\pi r^2(5)[/tex] and solve that for r;
[tex]r=\sqrt{\frac{3(75)}{5\pi} }[/tex] so
r = 3.784698783 and plug that in for the radius to find the area of the circle base:
[tex]A=\pi r^2[/tex] so
[tex]A=\pi (3.784698783)^2[/tex] gives you that
A = 45 meters squared, exactly. No decimal.
2. A business man sold an article at a gain of 10%. Had he sold the article at a gain of 20% he would have gained Rs. 55 more. Find the cost price of the article.
Step-by-step explanation:
Let SP1 be x
P%=10%
CP=SP×100/100+%P
= x+100/100+10
= 100x/110
SP2= x+55
CP= SP×100/100+%P
or 100x/110= x+55×100/120
or x/110=x+55/120
or 24x-22x=22×55
or 2x=1210
or x=1210/2
or x=605
Now,
CP=100x/110
=100×605/110
=60500/110
=Rs 550
If there are:
6 red marbles
10 yellow marbles
5 green marbles
and 1 blue marble What is the probability of picking 1 blue marble and 1 green marble?
(Once a marble is chosen it is NOT put back into the box).
(Write your answer in the form of a decimal, round to 2 places).
Answer:
total number of marble=22
probability of picking 1 blue marble= 1/22
=45×10^-2
probability of getting a green ball= 5/21
= 238×10^-3
If f(x)=-2x find x= -1
A.-3
B.-2
C.2
D.0
Draw a number line that represents 7+(-4).
the average American student is in class 330 minutes a day how many hours is this
Let assume hours be x.
1 hour = 60 minutes
x hour = 330 minutes
[tex] \bf \large \rightarrow \: \: \frac{1}{60} \: \times \: \frac{x}{330} \: \: \: \small\rm({\red{ Cross \: \: Multiplying }}) \\ [/tex]
[tex]\bf \large \rightarrow \: \: 60x \: = \: 330[/tex]
[tex]\bf \large \rightarrow \: \: x \: = \: \cancel \frac{330}{60} \: = \: 5.5 \\ [/tex]
Total hours in a day is 5.5
The average American student is in class 5.5 hours a day.
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
We have to given that;
The average American student is in class 330 minutes a day.
We know that;
⇒ 1 hours = 60 minutes
⇒ 1 minute = 1/60 hours
Hence, We can change the unit as;
⇒ 330 minutes = 330 / 60 hours
= 5.5 hours
Thus, It is equal to 5.5 hours.
Learn more about the measurement unit visit:
https://brainly.com/question/777464
#SPJ2
Solve for x. Leave your answer in simplest radical form.
Answer:
2√5
Step-by-step explanation:
hypotenuse of the second triangle = √(9²-5²)
= 2√14
so,
x = √{(2√14)²-6²}
= 2√5
Answer:
2sqrt(5)
Step-by-step explanation:
The left triangle is a right triangle so we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + b^2 = 9^2
b^2 = 9^2 - 5^2
b^2 = 81-25
b^2 =56
Taking the square root of each side
b = sqrt(56) = sqrt(4*14) = 2 sqrt(14)
The right side is also a right triangle so we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
x^2 + 6^2 = (sqrt(56))^2
x^2 +36 = 56
x^2 = 56-36
x^2 = 20
Taking the square root
sqrt(x^2) = sqrt(20) = sqrt(4*5) = 2sqrt(5)
2,000
10,000
milligrams
grams
6
7
HELPPPPPPPPP
Answer:
2000 milligrams —> 2 grams
6000 milligrams —> 6 grams
7000 milligrams —> 7 grams
10000 milligrams —> 10 grams
I hope I helped you^_^
Gem and her three friends are going on a holiday.
There is a buy 2 get one free offer on plane tickets.
Tickets cost £400 each.
If Gem and her friends are each expected to pay an equal amount towards their tickets, how much does each person pay?
Answer:
£200
Step-by-step explanation:
4 friends - 4 tickets
They need to BUY 3 tickets.
3 tickets will cost £1200
Divide the £1200 between the 4 friends which is £300.
They will then get the other 1 ticket for free and have 4 altogether!
please help me guys im desprate at this point
Answer:
Does the answer help you?
A triangle with sides of 2, 3, and 4 is an obtuse triangle. T/F
Answer:
True
Step-by-step explanation:
We actually can use Sine, Cos, or Tangent to solve for the angles, which would give the angle, but graphing it came up with an Obtuse Scalene triangle.
The access code for a cars security system consists of 4 digits. The first digit cannot
be 0 and the last digit nust be even. How many different codes are available?
Answer:
4500
Step-by-step explanation:
The first digit can't be 0. so it will be a number from 1000 to 9999. That's a total of 9000 numbers (9999-1000+1=9000). Since the last digit must be an even number that is one half of the 9000 numbers which is 4500.
[tex]6 \sqrt{2} - 4 \sqrt{3} + |3 \sqrt{8} - 8 \sqrt{3} | + 2 \sqrt{12} [/tex]Solve this pls ......
Answer:
8√3 ≈ 13.86
Step-by-step explanation:
6√2 - 4√3 + | 3√(2²•2) -8√3 | + 2√2²•3
Every 2² get our from the square root and loses the ² :
6√2 -4√3 + | 2•3√2 -8√3 | + 2•2√3
Solve the multiplications and taking of the | | , the signal inside it changes:
6√2 - 4√3 +8√3 -6√2 +4√3
Now you group the similar terms and solve the possible operations:
6√2 - 6√2 +4√3 - 4√3 + 8√3
8√3 ≈ 13.86
Step-by-step explanation:
4(3_/2-2_/3)
SEE the IMAGE for Solution
Answer ASAP please!
Answer:
B
SOH-CAH-TOA
Sin= opp/hyp
Step-by-step explanation:
8. Which expression is greatest? Justify your answer.
a. 4 X -5
b. -5 + 4
c. -4- (-5)
Answer:
c
Step-by-step explanation:
i think this is the greatest because if you solve all of the expressions you will find out that this is the greatest.
a.4×-5=-20
b.-5+4=-1
c.-4-(-5)=1
therefore 1 is the greatest so the expression c is the greatest.
I hope this helps