(the answer is) = 6466602
At 9:30 am, Hudson and Colin leave on a bicycle trip. Their average speed is 20 km/ h. At 11:30 am, Danielle leaves from the same place and starts driving after them in her car. Her average speed is 60 km/ h. Create a system to determine how long will it take Danielle to catch up with Hudson and Colin?
Answer:
Step-by-step explanation:
11:30-9:30=2
so Danielle starts 2 hrs late.
let Danielle catches them after x hrs.
x×60=(x+2)×20
divide by 20
3x=x+2
3x-x=2
2x=2
x=1
so Danielle takes 1 hour to catches them.
Lexon is standing 7.05 meters away from the statue off the Merlin mp at Merlin park Singapore the height of her eyes from her feet is 1.55 meters given that the angle of elevation of the top of the statue from her eyes is 42゚ find the height of the statue
Answer:
7.9m
Step-by-step explanation:
We solve using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
Opposite = x
Adjacent = 7.05m
We solve for x
tan 42 = x /7.05m
Cross Multiply
tan 42 × 7.05 = x
x = 6.3478485123m
Approximately = 6.35m
Height of the statue = x + 1.55
Hence, = 6.35m + 1.55m
= 7.9m
The height of the statue = 7.9 meters
What is the volume of a cube with a side length of 3tunits?
Cube V = 93
Answer:
The volume 27.
The volume of a cube:
Volume = side³
The volume of a cube with side 3 units is 27 cubic units.
What is a cube?It is a polygon having six faces.
The volume of a cube:
Volume = side³
Example:
The volume of a cub with a side length of 2 cm is 8 cubic cm.
We have,
Side = 3 units
Volume = Side³
Volume:
= 3³
= 3 x 3 x 3
= 27 cubic units
Thus,
The volume of a cube with side 3 units is 27 cubic units.
Learn more about cubes here:
https://brainly.com/question/11168779
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Answer both for brainly pro
The perimeter of a rectangle is 80x. The base is 7 times the height. In terms of x, what are the dimensions of the rectangle?
a.
h = 10x, b = 10x
c.
h = 3x, b = 5x
b.
h = 5x, b = 35x
d.
h = 5x, b = 25x
make x the subject of the formula
y=a√x
Answer:
y=a√x
y/a=a√x/a a will cancel out on the right side of the equation
therefore, √x=y/a
x=√y/x
17.
Write the equation in standard form. Then factor the left side of the equation.
2x2 + 7x = 15
A. (2x – 5)(x + 3) = 0
B. (2x + 3)(x + 5) = 0
C. (2x – 3)(x + 5) = 0
D. (2x + 5)(x – 3) = 0
Answer:
C. (2x – 3)(x + 5) = 0
Step-by-step explanation:
The equation in standard form should be 2x^2 + 7x - 15 = 0
Factored the expression is (2x - 3)(x + 5).
In order to find the factored portion, you must look for factors of the front number (2) to use in the front of the parenthesis and factors of the last number (-15) to go in the end.
When we use the ones that we have above, it distributes to the overall end result.
(2x - 3)(x + 5)
2x^2 - 3x + 10x - 15
2x^2 + 7x - 15
what is
- l4l equal to?
Answer: -4
Explanation:
Absolute value is the distance that a number is away from zero. Keep in mind that the absolute value is always positive.
However since the negative sign is on the outside of the function , you leave it on the final answer. Therefore the answer is -4
Q. The ratio 12:27 simplified to the form 1:n is *
a-1:2.25
b-1: 0.4
Answer:
1:2.25
12/12 = 1
27/12 = 2.25
Hope this helps!
What is the force on the surface of a square of side 5 m if the pressure acting on it is 25 pascal ?
Answer:
625 N
Step-by-step explanation:
First, find the area of the square.
Area = side x side
= 5 x 5
= 25 m²
Force = pressure x area
= 25 x 25
= 625 N
Hope this helps!
Colin and Dan win some money and share it in the ratio 4:5. Colin gets £52. How much did they win in total?
Answer:
$65
Step-by-step explanation:
Collin gets 4x dollars which equals 52, so 4x = 52
Dan gets 5x dollars which equals y (the answer). solve for x = 13. 5 • 13 = 65.
Help this is confusing
Find the surface area of the figure using its net
According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth. P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction
1) 0.001
2) 0.002
3) 0.128
4) 0.899
Answer:
.899
Step-by-step explanation:
Helpppp meh, 50 points and u better answer correctly!!
Answer:
yessir
Step-by-step explanation:
gimme brainliest i think its C
At a birthday party, 50% of the cupcakes are chocolate. If there are 20 chocolate cupcakes, how many cupcakes are there altogether?
will mark brainliest 1st to answer
Answer:
40 cupcakes
Step-by-step explanation:
Since 50% is chocolate and there is 20 chocolate then there are 40 cupcakes
Hope I helped!
Happy Pride Month
Answer:
40 cupcakes
Step-by-step explanation:
If 50% percent of the cupcakes are chocolate then 20 chocolate cupcakes are half of the total amount of cupcakes so multiply 20 by 2 and get 40 so there are 40 cupcakes in all.
last question was wrong. Line l and line m are straight lines. What is the measure of angle y?
y+43°= 180°( straight angle)
=>y= 180°-43°
=>y=137°
B E
400
(51)
А
C D
3t
Find the measure of ZF if mZD=88º.
A. 8°
B. 40°
C. 52°
D. 90°
the answer is c because you have to take the zf an time it by the zd
Answer:
C
Step-by-step explanation:
for the top of the triangle it has to be 40 and angle d has been declared as 88
so it is 40+88 = 128 now 180 -128 = 52 so the answer is C
Which graph represents the solution set of the inequality x + 2 greater-than-or-equal-to 6 A number line goes from negative 9 to positive 9. A solid circle appears on positive 3. The number line is shaded from positive 3 through negative 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 3. The number line is shaded from positive 3 through positive 9. A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 4. The number line is shaded from positive 4 through negative 9.
Help me find the answer for this Acellus question! Find CD.
Answer:
DE = AE - AD
=> DE = 18.5 - 15.5 = 3
CD = CE - DE = 8 - 3 = 5
find the measures of x and y. I NEED THIS NOWW
Answer:
Solution given:
x+x+24°=90[being complementary angle]
2x=90-24
x=66/2
x=33
again
2x=3y[vertically opposite angle]
y=2*33/3
y=22
Answer:
2x +24 =90
2x =90-24
2x =66
x =33
CAK=24
2X=3Y
3Y=2×33
3Y=66
Y. =22
Please help I’ll give brainliest
Answer:
B. $180
Step-by-step explanation:
3/2 × $120 = $180
______
SOMEONE PLEASE HELP ME I DONT KNOW HOW TO DO THIS TYPE OF PROBLEM
Answer:
Step-by-step explanation:
Because angles SQR and RQT are central angles, they are congruent to the arcs they intercept. This means that arc SR = 101 and arc RT = 118, making the whole major arc SRT = 219. That means that the minor arc, ST is 360 - 219 which is 141. We are looking in particular for the measure of angle SRT. It just so happens that angle SRT is an inscribed angle, so by definition it is one-half the measure of the arc it intercepts. It intercepts arc ST which we found measures 141, so angle SRT is 141/2 = 70.5
What is the probability of getting a tails, vowel and an even number?
Answer:
[tex]\frac{1}{15}[/tex]
This is assuming the die is from 1 - 5
Step-by-step explanation:
Tails: 0.5
Vowel: [tex]\frac{1}{3}[/tex]
Even number: [tex]\frac{2}{5}[/tex]
[tex]\frac{1}{2}* \frac{1}{3} *\frac{2}{5} =\frac{2}{30}=\frac{1}{15}[/tex]
what is the solution to the equation 1/4 x + 2 -5/8 x - 5? i
Answer:
work sh bf nd diu xd vs a wish even den dvs dneirgrvvdndkddvdvndkdosuehebdno he be bes be nah be even be bed buddy be end
Which fraction can be equivalent to -3/2?
1. 3/-2
2. -3/-2
3. -(3/-2)
4. -(-3/2
please help :)
Answer:
its c, the minus makes the positive 3 negative and the neg 2 positive
Rewrite in simplest rational exponent form √x • 4√x
Answer:
4x
Step-by-step explanation:
[tex]\sqrt{x} \cdot \sqrt{x} = \sqrt{x^2} = x^{ 2 \times \frac{1}{2}} = x[/tex]
[tex]given :\\\\ \sqrt{x} \cdot 4\sqrt{x} = 4 \cdot\sqrt{x} \sqrt{x} = 4 \sqrt{x^2} = 4x[/tex]
land value is increased by 12 % in each year in 2016 , the value is $60000.
i )what us the land value after 4 years
ii) Calculate the increase of the land value during these 4 years.
Answer:
I=use PTR/100
ii =p+i
Step-by-step explanation:
hope you like it
Which interval or union of intervals represents the values for which f(x) is ≤ 0? Select the correct choice below and fill in the answer boxes to complete your choice.
Answer:
(-∞, -1]∪{5}
Step-by-step explanation:
We know that:
f(x) ≤ 0 is true if the graph of the function is intersecting the x-axis or below the x-axis.
So we can just look at the graph, we can see that in the interval:
(-∞, -1] (the value x = -1 is included, that is why we use the symbol ] instead of the parenthesis)
the graph is below or intersecting the x-axis
and this also happens at x = 5 or just denoted as {5}
Then the correct notation is:
(-∞, -1]∪{5}
[tex]-2\sqrt{50x^5} +5\sqrt{18x^5}[/tex]
Answer:
234.98
Step-by-step explanation:
in class notes