Answer:
88
Step-by-step explanation:
what is the solution of the equation x^2 + 2x -7=0
Answer:
x = -1 + 2 sqr2
or
x = -1 -2 sqr2
Step-by-step explanation:
A pole that is 3.1 m tall casts a shadow that is 1.59 m long. At the same time, a nearby building casts a shadow that is 50.75 m long. How tall is the building?
Round your answer to the nearest meter.
Answer:
92 meters high.
Step-by-step explanation:
This problem involves proportion.
Let x be the unknown, which is the height of the building.
height of pole = height of the building
height of the shadow height of the shadow
3.3 m = x
1.78 m 49. 75 m
Solve for x.
(3.3 m) (49.75 m) = x
1.78 m
92.2331460674 = x
Rounded to the nearest meter, the building is 92 meters high.
Hope that helps.
Question Five
The surface of Great Slave Lake is 156 m above sea level. At the deepest point, the bottom of the lake is
458 m below sea level.
a) Use absolute value symbols to write a statement to determine the depth of the lake.
b) What is the depth of the lake?
a) The correct statement to find the depth of the lake is,
⇒ 156 + |- 458|
b) The depth of the lake is,
⇒ 614 m
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The surface of Great Slave Lake is 156 m above sea level.
And, At the deepest point, the bottom of the lake is 458 m below sea level.
Here, The depth of the lake is find as;
⇒ 156 + |- 458|
⇒ 156 + 458
⇒ 614 m
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13. A rectangle has a width that is twice as long as its length and an area of 722 square inches. Find the length of the diagonal, rounded to the nearest tenth.
Answer:
The diagonal of the rectangle is approximately 42.5 inches.
Step-by-step explanation:
The area of a rectangle is given by the following formula:
area = width*length
In this case the width = 2*length, therefore we have:
area = 2*length²
722 = 2*length²
2*length² = 722
length² = 361
length = sqrt(361) = 19 inches
width = 2*length = 2*19 = 38 inches
The diagonal forms a right triangle with the sides of the rectangle, where it is the hypotenuse. Therefore we can use Pytagora's theorem:
diagonal = sqrt(length² + width²)
diagonal = sqrt(19² + 38²) = 42.485 inches
The diagonal of the rectangle is approximately 42.5 inches.
Answer:
42.5 inches
Step-by-step explanation:
l = length
w = 2l
A = 722
A = l*w
722 = l * 2l
722 = 2l^2
Divide each side by 2
361 = l^2
Take the square root of each side
sqrt(361) = l
w = 2 * sqrt(361)
We want to find the diagonal so we can use the pythagorean theorem
a^2+ b^2 = c^2 where c is the length of the diagonal
l^2 + w^2 = c^2
(sqrt(361)) ^2 + (2 sqrt(361))^2 = c^2
361+1444 = c^2
1805 = c^2
Take the square root of each side
sqrt(1805) = sqrt(c^2)
42.48529 = c
To the nearest tenth
42.5 =c
Mrs. Whimsey’s class is having a pizza party. If there are 16 students and 4 pizzas cut into 8 slices, what answer choice represents the fraction of one pizza each student receives?
A. one-third
B. one-sixteenth
C. one-fourth
D. one-eighth
Answer:
C
Step-by-step explanation:
4 pizzas cut into 8 slices each is a total of 32 slices. This means that each student would get 2 of these slices, which is equivalent to 1/8 * 2= 1/4, or choice C. Hope this helps!
Answer:
C) 1/4
4x8=32
32/2=16
two-eighths=one-fourth
When the value of x is 3, what is the value of Y?
Read this carefully please.
Answer:
Y would be 9
Step-by-step explanation:
i saw the picture
x:y
1:3
2:6
3:9
You times the x by 3 and keep going down
Hope this helped
Find the perimeter of the outside of the hungry circle monster. The angle of its mouth is pi/3 radians and its radius is 7 inches
Answer:
C≈43.98in
Step-by-step explanation:
1) - 3 = -11
2) 4 (g – 1) = 24
3) = 0
4) - 40 = 12x + 8
5) - 2p – 3 = -19
6) 13 =
7) - 9 = - 11 +
8) Challenge!!
2q + 10 = 7q
9) d + = -
10) 5 - u =
11) - m - = - 10
12) = + 9q
13) 2 = +
14) c - = c
15) ( w - ) =
16) + 5 = 2
17) - p + = - 3p
18) - 2 n - = - 1
Answer:
1. −3≠−11 (false)
2. g=7
4. x=−4
5. p=8
7. + 2
8. q = 2
10. =−u+5
16. 5≠2 (false) or
'-3' because -3 + 5 = 2
sorry not sure how to do the others :(
HHHEEELLLPPP PLEASE!!!!
The graph of a line passes through two given points, as shown on the graph below. What is the equation of the line
written in general form?
x - y + 5 = 0
x + y - 5 = 0
x - y - 5 = 0
Answer:
x+y-5=0
Step-by-step explanation:
From the graph, we can see that the line goes through points (0, 5) and (5, 0).
To find the slope of a line, we can use the formula (y1-y2)/(x1-x2). When we substitute the coordinates that we just found, we get (5-0)/(0-5). This equation equals 5/(-5), which equals -1. So, the slope is -1.
Then, to find the equation of the line, we can use the formula y-y1=m(x-x1).
In this equation:
y=a placeholder for the y that will be written in the actual equation
y1=needs to be replaced by a y value (you can choose which pair of coordinates it comes from)
m=slope
x=a placeholder for the x that will be written in the actual equation
x1=needs to be replaced by a x value (Needs to be in the same pair of coordinates as y1)
When we substitute the numbers we found, we will get:
y-5=-1(x-0)
y-5=-x
When we add x to both sides, we will get:
x+y-5=0
What procedure can be used to solve the equation StartFraction x Over 19.3 EndFraction = 38.6, and what is the solution?
Multiply StartFraction x Over 19.3 EndFraction by 19.3; the solution is 38.6.
Multiply StartFraction x Over 19.3 EndFraction by 19.3; the solution is 372.49.
Multiply both sides by 19.3; the solution is 38.6.
Multiply both sides by 19.3; the solution is 744.98.
The procedure to solve the equation x / 19.3 = 38.6 is to multiply both sides of the equation by 19.3. The solution is 744.98.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
The equation is given in the question following as:
x / 19.3 = 38.6
To solve the equation, you would multiply both sides by 19.3 to get :
⇒ x = 19.3 × 38.6
Apply the multiplication operation, and we get
⇒ x = 744.98.
So, the solution is x = 744.98.
Therefore, the correct answer is D. Multiply both sides by 19.3; the solution is 744.98.
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Answer: D. Multiply both sides by 19.3; the solution is 744.98.
Step-by-step explanation:
took the test! :)
pretty sure its 8 but i just wanna be sure...
Answer:
Yup i'm pretty sure its 8 :D
Step-by-step explanation:
Answer:
yeah, basically certain it 8!!
Please answer correctly ASAP !!!!! WILL MARK BRAINLIEST !!!!!!!!
Answer:
lool thats teams,
Step-by-step explanation:
(short answers plzz)
1- An ordered pair has coordinates that have the same sign. In which quadrant(s) could the point lie? Explain.
2- Another ordered pair has coordinates that are opposites. In which quadrant(s) could the point lie? Explain
Answer:
1) quadrants 1 and 3
2) quadrants 2 and 4
Step-by-step explanation:
A tennis supply store pays a wholesaler $90 for a tennis racquet and marks it op by 60%.
What do they charge for the tennis racquet?
Answer:
$36
Step-by-step explanation:
50%=$45 because you half it
10%= $9 because you divide it by 5 (using the 50% to find 10%)
60%= $45+$9=$54
60% discount= $54
$90-$54=$36
Answer: I think your answer is $36
Step-by-step explanation:
48. Calculate the number of sides of a regular polygon whose interior angle is
140°
A. 6 B. 9 C. 12 D. 15 E. 40
the answer is B. 9 sides
Rewrite 2 cos 75 degrees sin 75 degrees a double angle identity
It follows from the double angle identity for sine,
sin(2x) = 2 sin(x) cos(x),
that
2 cos(75º) sin(75º) = sin(2•75º) = sin(150º)
Alternatively, recall that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
sin(x - y) = sin(x) cos(y) - cos(x) sin(y)
Adding these together gives
sin(x + y) + sin(x - y) = 2 sin(x) cos(y)
Set x = y = 75º; then
2 sin(75º) cos(75º) = sin(75º + 75º) + sin(75º - 75º)
2 sin(75º) cos(75º) = sin(150º)
2 cos 75° . Sin 75° = Sin 150°
Notice:
Sin 150 º = Sin 30°
See that Sin 75° = Cos 15°
Cos 75° = Sin 15°
So :
2Cos 75° . Sin 75° = 2 Sin 15°Cos°15 = Sin 30°
PLZ HELP ME PLZ HELP
Answer:
C eijdnusjsjsjzjxjdjdudjdndbdjdhdbdbdhhfhdhd
What does the question mark equal?
Answer:
8
Step-by-step explanation:
the candy = 25
the watermelon = 1
the fish = 4
the peanut = 17
25-17=8
36,000 people attended a basketball game. If 80% of the seats are filled, how many seats are in the ballpark?
Answer:
45,000
Step-by-step explanation:
80/100 = 36000/x
8x = 360000
x = 45000
Answer:
45000 seats
Step-by-step explanation:
Let t= total number of seats at the ballpark
t* 80% = 36000
Change to decimal form
t*.80 = 36000
Divide each side by .80
.80t/.80 = 36000/.80
t =45000
A die has 12 faces numbered 1 through 12. On the die, 5 of the faces show prime numbers, so the theoretical probability of rolling a prime number is 5/12. Which is the most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times?
Answer:
Step-by-step explanation:
5/12 * 300 = 125 times
The most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times is 125 times.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A die has 12 faces numbered 1 through 12.
And, The theoretical probability of rolling a prime number is 5/12.
Here, On the die, 5 of the faces show prime numbers, so the theoretical probability of rolling a prime number is 5/12.
Hence,
The most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times is,
⇒ 300 × 5/12
⇒ 1500 / 12
⇒ 125
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Solve the following equation for x
X^2-11x-60=0
A-x=4;x=-15
B-4;x=-15
C-x=4;x=15
D-x=-4;x=-15
Answer:
The answer is x= -4 x= 15
Step-by-step explanation:
Answer:
The answer will be B.
Step-by-step explanation:
Because when you do it like shown you will gt this
Step 1: Factor left side of equation.
(x+4)(x−15)=0
Step 2: Set factors equal to 0.
x+4=0 or x−15=0
x=−4 or x=15
Answer:
x=−4 or x=15
The graph shows the numbers of quarts of yellow
paint that must be mixed with different numbers of
quarts of red paint to make a certain shade of orange
paint.
Answer:
Step-by-step explanation:
The given graph is a straight line graph. The y axis represents the number of quarts of yellow paint that is mixed. The x axis represents the number of quarts of red paint that is mixed. We would write the required equation in the slope intercept form. The slope intercept form equation of a straight line is expressed as
y = mx + c
Where
m represents slope
c represents y intercept.
Slope = (y2 - y1)/(x2 - x1)
Slope = (2 - 1)/(5 - 2.5) = 1/2.5
Slope = 0.4
The straight line cuts the y axis at y = 0
It means that c = 0
Therefore, the equation is
y = 0.4x
what is 50% as a decimal?
Answer:
.5
Step-by-step explanation:
When we divide 50 by 100 we get 0.5 (a decimal number). So, to convert from percent to decimal: divide by 100, and remove the "%" sign.
A $20,000 investment earned a simple interest rate of 5.4%. How much interest was earned in one year?
Answer:
The interest earned in a year was $1080.
Step-by-step explanation:
Since the money was invested at a simple interest rate, then the amount earned in one year is given by the following formula:
M = C*r*t
Where M is the amount earned, C is the amount invested, r is the rate of interest and t is the time elapsed. Applying the data from the problem, we have?
M = 20000*(5.4/100)*1
M = 20000*0.054
M = 1080
The interest earned in a year was $1080.
Answer:
1,080
Step-by-step explanation:
To measure the distance across a pond, Sandy and Garrett mark a spot at on
edge of the pond and walk away from each other at a right angle. If Sandy
walked 5 yd and Garrett walked 1 yd less than the distance across the pond, what
is the distance across the pond and how far did Garrett walk?*
Answer:
distance across the pond: 13 yd
distance walked by Garret: 12 yd
Step-by-step explanation:
Data:
distance across the pond: x yddistance walked by Sandy: 5 yddistance walked by Garret: x-1 ydA right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:
x² = 5² + (x-1)²
x² = 25 + x² - 2x + 1
0 = 26 - 2x
x = 13
PLEASE HELP ASAP!!! WILL MARK BRAINLIEST!!!
Find the value of x in each case. Give reasons to justify your solutions!
Answer:
x=19
Step-by-step explanation:
Because the angle Y and X are on parallel lines then if you add Y to X you would get 180 so we know that part of Y is 90.
90+2x+3x-5=180
85+5x=180
5x=95
x=19
The table below represents the number of paintings, y, that Jordan completed in x years.
Jordan's Paintings
Which equation describes the relationship between the number of paintings and the year?
y = 3x + 1
y = 3x + 4
y = x +3
y = 4x + 3
Answer:
y=3x+1
Step-by-step explanation:
It would be y=3x+1 because if you replace x with 2 and do y=3(2)+1 you would get y=6+1 or just y=7 and in the table for 2 years it says 7 paintings.
What is the slope of the line that passes through the points (10,8) and (-15,18) ?
Answer:
-0.4
Step-by-step explanation:
m = 10 / -25 = -0.4
Please help with this one!
Answer:
4cm and 6cm
Step-by-step explanation:
Area= [tex]\frac{1}{2}[/tex]×base×height
Area=[tex]\frac{1}{2}[/tex]×4×6
Area= 12cm²
Which of the following are geometric sequences?
Check all that apply.
A. 2, -2, 2, -2, 2-2, 2
B. 1.4. 9, 16, 25, 36, 49
C. 10.5, 2.5, 1.25, 0:625, 0.3125
D. 1. 2. 4. 8 16 32
Answer:
D
Step-by-step explanation:
1*2=2
2*2=4
4*2=8
8*2=16
16*2=32
The sequence 1, 2, 4, 8, 16, 32 is geometric sequences, Option D is correct.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
A geometric sequence is a sequence of numbers in which each term after the first is found by multiplying the preceding term by a fixed constant called the common ratio.
Let us check all the options for geometric sequence
2, -2, 2, -2, 2-2, 2
This is not a geometric sequence because the terms are not multiplied by a common ratio to get the next term.
1.4. 9, 16, 25, 36, 49
This is not a geometric sequence because there is no common ratio between the terms.
10.5, 2.5, 1.25, 0:625, 0.3125
This is not a geometric sequence because there is no common ratio between the terms.
1, 2, 4, 8, 16, 32
This is a geometric sequence because each term is obtained by multiplying the previous term by the common ratio of 2.
Therefore, the sequence 1, 2, 4, 8, 16, 32 is geometric sequences, Option D is correct.
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