Answer:
65,754.6
Step-by-step explanation:
When rounding, the last digit is number you need to observe. If the digit is less than 5 (4,3,2,1), then round down. If it is 5 or greater, then round up.
The product of double the number four
!!!Translate the following sentence into a variable expression!!!
From his eye, which stands 1.61 meters above the ground, Jacob measures the angle
of elevation to the top of a prominent skyscraper to be 25°. If he is standing at a
horizontal distance of 281 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.
Step-by-step explanation:
we have a right-angled triangle, that is "hovering" 1.61 m above the ground.
the Hypotenuse (the side opposite of the 90 degree angle) is the line of sight from the eye to the top of the skyscraper.
one leg is the height of the skyscraper (minus the 1.61 m).
the other leg is the ground distance from Jacob to the skyscraper (281 m).
we know already 2 angles : the 90° angle between the ground distance and the skyscraper height. and the 25° between the ground distance and the line of sight.
and as we know that the sum of all angles in a triangle is always 180°, we know that the third angle (between the line of sight and the skyscraper height) is
180 - 90 - 25 = 65°
now we can use the law of sines
a/sin(A) = b/sin(B) = c/sin(C)
(the ratio between a side and its opposing angle)
to get all missing side lengths.
the 25° angle is opposite of the skyscraper height, and the 65° angle is opposite of the ground distance (the only side length we know so far).
so,
height/sin(25) = 281/sin(65)
height = 281 × sin(25)/sin(65) = 131.0324519... m
to get the full height of the skyscraper, we need to add the 1.61 m that the described triangle was "hovering" above ground.
therefore, the height of the skyscraper is
131.0324519... + 1.61 = 132.6424519... ≈ 132.6 m
pls help asap
Twenty-seven minus 3/2 of a number (x) is not more than 36. What is the number? A. x > 42 B. x ≥ -6 C. x < 3 D. x ≤ -6
Answer: B.) x ≥ -6
Step-by-step explanation:
Solve the quadratic equation 2x2 – x = 15 using the quadratic formula.
Question 6 options:
A)
x = –3, x = –5∕2
B)
x = –3, x = 5∕2
C)
x = 5∕2, x = 3
D)
x = – 5∕2, x = 3
which one is right. keep it simple
Answer:
B) x = 3 or x = -5/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 - x = 15
Subtract 15 from both sides:
2 x^2 - x - 15 = 0
x = (1 ± sqrt((-1)^2 - 4×2 (-15)))/(2×2) = (1 ± sqrt(1 + 120))/4 = (1 ± sqrt(121))/4:
x = (1 + sqrt(121))/4 or x = (1 - sqrt(121))/4
sqrt(121) = sqrt(11^2) = 11:
x = (1 + 11)/4 or x = (1 - 11)/4
(1 + 11)/4 = 12/4 = 3:
x = 3 or x = (1 - 11)/4
(1 - 11)/4 = -10/4 = -5/2:
Answer: x = 3 or x = -5/2
Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
f(2)=3(x+6)2 - 75
B
f(x) = 3x2 + 36x +33
f(x) = 3(x + 1)(x +11)
Write one of the zeros.
T =
Answer:
c
Step-by-step explanation:
I NEED HELP ASAP. PLEASE AND THANK YOU
Answer:
1, 2, and 5
Step-by-step explanation:
how to find the length of a triangle with angles
Answer:
1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.
2. In a right triangle, one of the angles has a value of 90 degrees.
3. The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.
Step-by-step explanation:
EJ practice football for a minimum of 6 hours a
week. He practices for 1.5 hours each session. If
EJ has already practiced 3 hours this week, how
many more sessions must he practice to meet or
exceed his goal?
Answer:
He must practice at least 2 more times
Step-by-step explanation:
QUICKEST ANSWER GETS BRAINLEIST.
solve the equation (x-4) (x+9) = 0
Answer:
x = 4,-9
Step-by-step explanation:
This is a quadratic equation in x-intercept pattern. Since this is completely factored, we can simply solve the equation like a linear.
First, separate two equations. Let r be the roots of equation, therefore:
[tex]\displaystyle \large{r=\begin{cases}x-4=0\\ x+9=0 \end{cases}}[/tex]
I use the r-variable to denote the roots of equations (not necessary), simply separate both then solve it like a linear.
[tex]\displaystyle \large{r=\begin{cases}x-4+4=0+4\\ x+9-9=0-9 \end{cases}}\\\displaystyle \large{r=\begin{cases}x=4\\ x=-9 \end{cases}}[/tex]
Therefore, the roots of equation are x = 4 or x = -9. In short, we can write as x = 4,-9.
The reason why we use OR instead of AND because one of x-values satisfy the quadratic equation hence ‘or’ is more suitable than ‘and’. However, you must write all valid solutions instead of writing only one x-value from two.
___________________
Let me know in the comment if you have any questions.
what is the speed of a skater who travels a distance of 210 m in a time of 10 secands
whats the remainder of 45 divied by 8
Answer:
5
Step-by-step explanation:
8*5=40
45-40=5
r would be 5
Which is the value of x?
10
7
Answer: 12.2
Step-by-step explanation: Pythagorean Theorem
Given: AB IS CONGRUENT TO CD
PROVE: CD CONGRUENT TO AB
Answer:
Because of the definition of congruent
Step-by-step explanation:
This problem may sound tricky, but it's not actually that hard. We now congruent means two things are the same, so for this problem, think of it as an equal sign. (Congruent doesn't mean equal, as an equal sign denotes the relationship that two things are the same if we know the concrete value of it.) So if AB=CD, CD=AB as you can swap two sides of an equation around and get the same answer. It's like saying 2=x ∴ x=2 (The dots mean therefore in math.)
Please consider a brainliest! Thank you!
The graph of y = x^2 -2x -3
a) Write down the coordinates of the turning point on the graph of y = x² – 2x - 3
(1)
(b) Use the graph to find the roots of the equation r? - 2x - 3 = 0
Answer:
See below
Step-by-step explanation:
A) Recall that a turning point is where the function changes from increasing to decreasing or vice versa. Since the graph of the function is a parabola, it only has 1 turning point, which is the vertex, or (1,-4). Therefore, the coordinates of the turning point are (1,-4).
B) The roots of the equation can be found by determining where the graph intercepts the x-axis (aka. x-intercepts). In this case, these are points (-1,0) and (3,0).
What is the measure of angle B?
Answer:
m∡B = 120°
Step-by-step explanation:
base angles are equal
adjacent angles are supplementary so:
4x+20 + 3x-15 = 180
7x + 5 = 180
7x = 175
x = 25
∡B = 4(25) + 20
∡B = 120°
Answer:
39.6
Step-by-step explanation:
(3x-15)+(4x+20)+2x=360
9x+5=360
9x=355
*Divide each side by 9*
X=39.4
*SUBSTITUTE X*
3(39.4)-15=103.2
4(39.4)+20=177.6
*ADD THE TOTALS FROM ABOVE*
103.2+177.6= 280.8
360-280.8=79.2
*DIVIDE THE TOTAL BY 2*
79.2/2=39.6
*CHECK*
3(39.4)-15=103.2
4(39.4)+20=177.6
103.2+177.6+39.6+39.6=360 IS CORRECT.
Hope this helps! :)
Which of the following is NOT a true statement?
pls answer i'll give brainliest
Answer:
C.) AFD measures 30°
Step-by-step explanation:
it is 150 degrees
Answer:
the answer is C
Step-by-step explanation:
A) angle EFC is 80 degrees so a is a true statement
B) angle BFC is 60 degrees and angle DFE is 30 degrees 60+30=90 so that's a true statement
D) angle AFB is 40 degrees and angle CFD is 50 degrees 40+50=90 so that a true statement
that leaves C and angle AFD is more than 30 degrees its 150 degrees
What's the percentage multipier for 0.6%?
Answer:
Solution Given;
0.6%=0.6/100=0.006
So
0.006 is the percentage multipier for 0.6%.
Let's check
We need to convert it into decimals
0.6%0.6×1/1000.6×0.0010.0060.006 is the answer
HELP PLZ I NEED THIS DONE ASAP
[tex]\text{Given that,}\\\\y^2 +9y +3 \\\\\text{when}~ y = -2,\\\\(-2)^2 +9(-2) +3 = 4-18+3 = 7 -18 = -11,[/tex]
Write a fraction pair of fractions with a common denominator: 1/3 and 3/4
A= (4,-1)
B= (0,-5)
which one is right ,two answer choices.
Answer:
A
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
last option
Step-by-step explanation:
b) 1/6 = 16.7 to 1dp
c) 45% = 45/100 = 9/20
d) 7/9 = 77.8% to 1dp
Mr. Russo had 6.25 cubic feet of potting soil in his raised garden bed. Then he took a bag of soil and poured in enough to completely fill the 9-cubic-foot bed. Let x represent how much soil was in the bag. Which inequality describes the problem?
Answer:
b
Step-by-step explanation:
90 is 150 of what number HELP
after the outbreak of a mysterious disease, the average wait time at a hospital by 70%. Before the outbreak, the average wait time at a hospital is m minutes
Answer:
1.7m
Step-by-step explanation:
Given that 'm' was the waiting time before the outbreak
After the outbreak, waiting time increased by 70%.
This implies that :
70% of m increase
m + 70% of m
m + 70/100 of m
m + ( 70÷100 ) × m
m + 0.7m
= 1.7m
Step-by-step explanation:
which ratio is equivalent to the ratio 7:6
Answer:
B. 21:18
Step-by-step explanation:
7/6 x 3 = 21/18
This means they are equivalent.
Answer:
Option B is correct.
Step-by-step explanation:
Let's first turn 7:6 into a fraction:
=> 7:6 = 7/6
Now, let's simplify all the options to see which one is the correct answer.
Option A:
=> 14:18=> 14/18=> 7/9=> 7/9 ≠ 7/6Therefore, Option A is incorrect.
Option B:
=> 21:18=> 21/18=> 7/6=> 7/6 = 7/6Therefore, Option B is correct.
Option C:
=> 21:12=> 21/12=> 7/4=> 7/4 ≠ 7/6Therefore, Option C is incorrect.
Option D:
=> 18:14=> 18/14=> 9/7=> 9/7 ≠ 7/6Therefore, Option D is incorrect.
We can conclude that Option B is correct.
[tex]BrainiacUser1357[/tex]
Joe started to save money to purchase a new game console. His savings at the end of the first week included a jar of 468 nickels and dimes. The total value of the coins was $34.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week?
Answer:
0.05x + 0.10y = 34.40
x + y = 468
Step-by-step explanation:
Step-by-step explanation:
The The guy above is correct
A car travels 220 miles in 3 hours 20 minutes. What is its average speed?
Answer:
66 miles per hour
Step-by-step explanation:
average speed = distance / time
distance : 220 miles
time : 3 hours 20 minutes or 3.33 hours
220 miles / 3.33 hours = 66 miles per hour
PLLSSS HELP MEEEE!!
Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.
Number of tiles Bruce used: 5x + 2
Number of tiles Felicia used: 5x + 5
Answer:
No it is not possible for Bruce and Felicia to have used the same number of tiles.
Step-by-step explanation:
Bruce would have used 10x of tiles and Felicia used 7x of tiles.
No, it is not possible that Bruce and Felicia to have used the same number of tiles
The expression which shows the difference is (n² - 2)/2n, the correct option is B.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
Number of tiles Bruce used: 5x + 2
Number of tiles Felicia used: 5x + 5
On equating the two expressions
5x+2 = 5x+5
There is no solution
At any value of x, Bruce would have always used 3 tiles less than Felicia.
To know more about Expression
https://brainly.com/question/14083225
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Plz help! I have two parts to this :(
If I am correct, it is 36 because its b x h x l x 1/2