Given that y = 11 cm and θ = 34°, work out x rounded to 1 DP.
Check the picture below.
The length of a man's shadow is directly proportional with his height.
At the same time of day, a man who is 1.8 meters tall casts a 25.2
meter shadow and his son casts a 21 meter shadow. What is the
height of the man's son, in meters? If necessary, round to the nearest
tenth.
Answer:
The man's son height is 1.5m
Step-by-step explanation:
[tex]\frac{x}{21} =\frac{1.8}{25.2}[/tex]
[tex]\frac{21x1.8}{25.2}[/tex]
21x1.8= 37.8
37.8 ÷ 25.2= 1.5
Hope this helps
sorry if i got it wrong
Joel can do 20 math problems in 90 seconds How many seconds would it take him to do 32 problems?
HELP ME ITS SUPER HARD
Answer:
Joel can do 20 math problems in 90 seconds
He can do 1 math problem in 90/20 = 4.5 seconds
Now, Joel can do 32 math problems in
4.5×32
= 144 seconds
= 2 minutes 24 seconds
Step-by-step explanation:
Here I used the unitary method to sovle the question
h(r) = r^2 + 11r - 26
1) What are the zeros of the function?
Write the smaller r first, and the larger r second.
smaller s =
larger r =
2) What is the vertex of the parabola?
The zeros of the function h(r) = r² + 11r - 26 are r = -13, r = 2 and the vertex is (-11/2, -225/4).
What are the zeros and vertex of the function?Given the function in the question:
h(r) = r² + 11r - 26
To find the zeros of the function h(r) = r² + 11r - 26, we need to solve the equation h(r) = 0.
Using factoring:
r² + 11r - 26 = 0
Find two numbers whose sum is 11 and whose product is -26.
The numbers are -2 and 13.
Factor the equation:
(r - 2)(r + 13) = 0
Hence:
r - 2 = 0 and r + 13 = 0
Therefore, smaller r = -13, larger r = 2.
Next, we determine the vertex of the function:
Using the formula for the x-coordinate of the vertex, which is given -b/2a.
Here, the coefficient of r² is 1 (a = 1),
The coefficient of r is 11 (b = 11).
Substituting these values into the formula, we get:
r = -b/2a
= -11/( 2×1 )
= -11/2
The x-coordinate of the vertex is -11/2.
To find the y-coordinate, we can substitute r = -11/2 value back into the function:
h(r) = r² + 11r - 26
h(-11/2) = (-11/2)² + 11(-11/2) - 26
= 121/4 - 121/2 - 26
= 121/4 - 242/4 - 104/4
= (121 - 242 - 104)/4
= -225/4
Therefore, the vertex is (-11/2, -225/4).
Learn more about quadratic equations here:https://brainly.com/question/4038687
#SPJ1
What is 1 1/2 divided by 8
Answer:
3/16
Step-by-step explanation:
start by converting 1 1/2 to an improper fraction by multiplying the 1 by the denomerator and then adding the 1 from teh numerator. Then place that all over the denomantor two. so you get 3/2
then set up your equation:
3/2 x 1/8
you do the resipricol of one of the numbers so instead of 8/1 we do 1/8
3 times 1= 3
2 times 8 is 16
3/16 does not simplify so thats your answer
Answer:
3/16
Step-by-step explanation:
((1 1/2)/8)=(3/2)/8
8 times 2(demoninator)=16
numerator stays same so the answer is 3/16
(64/8/ 4 + 7 – 2) • 5 =
Answer:
35
Step-by-step explanation:
Let me know if I got it right
Two increased by five times a number is twenty two
What is the equation
Answer:
2 + 5 x a = 22
Step-by-step explanation:
Solve the following for x. Show all work. x+3/5 =2
Answer:
x+3/5=2
or,x+0.6=2
or,x=2-0.6
x=1.4
solve for Y 3y =2(4-2y)+6
Answer:
HOLA MATE HERE IS UR ANSWER:-
Step-by-step explanation:
3y=2(4-2y)+63y=8-4y+63y=14-4y3y+4y=147y=14y=14/7y=2What is auto insurance?
Answer:
the second option.
a policy that pays to get your vehicle replaced or repaired incase of an accident.
Step-by-step explanation:
Cylinder height of 8 inches with hemisphere withdiameter of 6 inches what the volume
Line f has a slope of -9/7. Line g is perpemdicular to f. What is thr slope of line g
A convention center is in the shape of a rectangular pyramid with a height of 332 m. Its base measures 475 m by 571 m. Find the volume of the convention center. If necessary, round your answer to the nearest tenth
Answer:
30,015,566.7 m³ OR 3.0 x 10⁷ m³
Step-by-step explanation:
The formula for finding the volume of a rectangular pyramid is:
V = lwh/3
where l = length
w= width
h = height
(475)(571)(332)/3 = 30,015,566.7 m³ = 3.0 x 10⁷
Solve
[tex]\frac{a-1}{a-3} =\frac{a+1}{a-4}[/tex]
Answer:
[tex]a=\frac{7}{3}[/tex]
Step-by-step explanation:
[tex]\frac{a-1}{a-3}=\frac{a+1}{a-4}[/tex]
[tex](a-1)(a-4)=(a-3)(a+1)[/tex]
[tex]a^2-5a+4=a^2-2a-3[/tex]
[tex]-5a+4=-2a-3[/tex]
[tex]-3a+4=-3[/tex]
[tex]-3a=-7[/tex]
[tex]a=\frac{7}{3}[/tex]
A restaurant bill comes to $28.35. Find the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax.
Bill was for $28.35. A 20% tip would come to $5.67. If we add this tip to the $28.35 bill, we get a total of $28.35 + $5.67 + 0.0625($28.35)
= $35.79 (total)
please give brainlist
Answer all of them plzz
Answer:
a) (2x+3) (x+4)
b) (5x-3) (x-1)
c) (-2x-3) (x-3)
d) 3(x-1) (3x-8)
e) -2(3x+5) (x-2)
f) h(4x-3) (3x-4)
g) -(x-3) (x+7)
h) (3x-2) (x+3)
i) 2(2x+1) (x-2)
j) (3h+2) (h-7)
Step-by-step explanation:
your welcome :)
Answer:
a)
(x+4)(2x+3)
b)
(x-2)(5x-3)
c)
(-x+3)(2x-3)
d)
3(x-1)(3x-8)
e)
2(-x+2)(3x+5)
f)
h(3x-4)(4x-3)
g)
(x+7)(-x+3)
h)
(x+3)(3x-2)
i)
2(x-2)(2x+1)
j)
(h-7)(3h+2)
Hope this helps!
If 20 students have only airpods,
10 students only have beats, and 30
students have beats in total how
many students have both beats and
airpods?
Answer:
There should be 20 students that have both Beats and AirPods.
Step-by-step explanation:
There are 50 students in total.
20 students have only AirPods and 30 students have Beats. Out of the 30 who own Beats, there are 10 students that have ONLY Beats.
30 - 10 = 20.
It's a tricky question, but this is the correct answer!
Hope This Helps!
tom measured his frisbee from the center to the outside and found it to be 6 inches what is the approximate circumference of tom frisbee
Answer: 37.68 inches
A frisbee is round so its a circle. And the formula of circumference of a circle is 2πr (r = 6 inches and π = 3.14)
So, 2πr = 2 * 3.14 * 6
2πr = 37.68 inches
James joins Club One which charges a monthly membership of $19.99. In 6 months, will he spend less than $120 in all?
Answer:
120
Step-by-step explanation:
round 19.99 to 20 and do 20 times 6
0.03249 in standard form to 3 significant figures is
(A) 3.24 × 10−1
(B) 3.24 × 10−2
(C) 3.25 × 10−2
(D) 3.25 × 10−3
Which table of ordered pairs represents a proportional relationship?
Answer:
C)
Step-by-step explanation:
Because Its equivalent
A car travels at an average speed of 60 km/h for 2.1 hours.
How far did the car travel in km?
Answer:
15 km
Step-by-step explanation:
Gabe has a savings account at the local bank. He deposits $150 in his account every 2 months. Which equation models the relationship between the months that deposits are made, x, and the amount of money deposited in the account, y?
Answer:
y=150(x/2)
Step-by-step explanation:
y = 150(x/2)
y represents the amount of money that is deposited into Gabe's account. x represents the amount of time he is adding money for.
x is divided by 2 because however long gabe has been adding money into his account, he does it every 2 months. This means that if x = 12 (time = 12 months) , then Gabe has only made (12/2) = 6 deposits of $150. If x = 4 (time = 4 months), then Gabe would have only made (4/2) = 2 deposits of $150.
With this being said, 150 is being multiplied by the number of deposits (x/2) to find the total amount of money deposited (y).
If f(x) = 4x2 + 2x + 7, find the value of f(-5).
=
A. -103
B. -83
C. 97
D. 117
7(2+3x)+8, 12+3(8+x), and (7x+2)3+8x
Answer:
The first answer is 21x+22.
Second answer is 36+3x.
Third answer is 29x+6.
Step-by-step explanation:
I just simplified
Find the value of x .
K
M
(2x – 10) (2x + 40)º
-
N
Answer:
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Estimate the product of 54 X 68.
Answer:
54 X 68=3672
Step-by-step explanation:
Find the slope of an equation f(x)=-3sqrt(x) at the point (9,-9)
Answer:
Slope is [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
Given:
[tex]f(x)=-3\sqrt{x}[/tex]
Find the derivative using the product rule:
[tex]f'(x)=\frac{d}{dx}(-3)*\sqrt{x}+-3*\frac{d}{dx}\sqrt{x}[/tex]
[tex]f'(x)=-3*\frac{1}{2\sqrt{x}}[/tex]
[tex]f'(x)=\frac{-3}{2\sqrt{x}}[/tex]
Plug in coordinates to find slope at that point:
[tex]f'(9)=\frac{-3}{2\sqrt{9}}=\frac{-3}{2(3)}=\frac{-3}{6}=-\frac{1}{2}[/tex]
Therefore, the slope of the equation at the point (9,-9) is [tex]-\frac{1}{2}[/tex].
Answer:
Step-by-step explanation:
f(x) = -3√x
f'(x) = -1.5/√x
f'(x) = -1.5/√9
f'(x) = -1.5/3
f'(x) = -0.5
PLEASE HELPP MEE ASAPP!!
Answer:
Step-by-step explanation:
each zero of the function will have a factor of (x - x₀)
h(x) = a(x + 3)(x + 2)(x - 1)
h(x) = a(x + 3)(x² + x - 2)
h(x) = a(x³ + 4x² + x - 6)
or the third option works if a = 1
however this equation gives us the points (0, -6) and (-1. -4), so "a" must be -2
h(x) = -2x³ - 8x² - 2x + 12
to fit ALL of the given points as it fits the three zeros and also h(0) and h(-1) so I guess that is why the given group is a partial set of solution sets
The population of New York state can be modeled by: 19.71 P(t) =
1 + 61.22e-0.03513tP is the population in millions
and t is the number of years since 1800
What was the population in 2020?
P(220) = [?] million
Round your answer to the nearest thousandth.
Answer:
19.193 million
Step-by-step explanation:
Put the given value in the formula and do the arithmetic.
P(220) = 19.71/(1 +61.22e^(-0.03513·220))
P(220) = 19.71/(1 +61.22e^-7.7286) = 19.71/(1 +0.02694046)
P(220) ≈ 19.193 . . . million
19.19293355
Nearest thousandth is 19.193