Answer:
≈ 11.7 m
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the measure of the second leg , then
x² + 15² = 19²
x² + 225 = 361 ( subtract 225 from both sides )
x² = 136 ( take square root of both sides )
x = [tex]\sqrt{136}[/tex] ≈ 11.7 m ( to the nearest tenth )
Eight less than four times a number is less than 56. What are the poss
O x> 12
O x < 12
O x<16
O x>16
Choice B is another answer if it is a "choose all that apply" type of situation. If it is a "choose only one answer" question, then I'd stick with choice C.
==============================================================
Work Shown:
x = some unknown number
4x = four times that number
4x-8 = eight less than the previous expression
4x-8 < 56
4x < 56+8
4x < 64
x < 64/4
x < 16 showing why choice C is the answer
The inequality sign stays the same the entire time. The only time it flips is when we multiply or divide both sides by a negative number.
If this is a "choose all that apply" type of question, then choice B also fits the description of x < 16 since all numbers less than 12 are also automatically less than 16.
In other words: if x < 12, then x < 16. The reverse is not true.
work out the equation of the line which has a gradient of 3 and passes through the point of (-1,3)
[tex]\text{Given that,}~~(x_1,y_1) = (-1,3)~ \text{and slope,}~ m = 3\\\\\text{Equation of line,}\\\\~~~~~~~y-y_1 =m(x-x_1)\\\\\implies y -3 = 3(x+1)~~~~~~~~~~;[\text{Point-slope form}]\\\\\implies y-3 = 3x +3 \\\\\implies y = 3x +3 + 3\\\\\implies y = 3x +6~~~~~~~~~~~~~~~~~;[\text{Slope-intercept form}][/tex]
The first four numbers of a sequence are 3,9,27, and 81. If this sequence continues, what are the next two numbers?
Answer:
243 and 729
Step-by-step explanation:
next will be 81 x 3= 243
next will be 243 x 3= 729
Answer:
243 729
Step-by-step explanation:
r = common ratio = 3 means multiply each number by 3 to get the next number
3 9 27 81 (81*3 ) ( 81*3)*3
3 9 27 81 243 729
HELP ME PLEASE In a given diagram below, ray AB bisects angle FAE. BF = 2x + 8 and BE = 42.
A. Set up an equation to solve for "x".
B. Show your work and solve for "x".
When two straight lines or rays intersect at a shared endpoint, an angle is generated. The value of x is 17.
What is an angle?When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."
Since the ray AB bisects, the ∠FAE. Therefore, the measure of ∠FAB and ∠EAB will be equal. As these two angles are equal, the length of line BF and BE will be equal.
BF = BE
2x+8=42
2x=42-8
2x=34
x = 17
Hence, the value of x is 17.
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A. (1, –4); minimum
B. (0, –3); minimum
C. (–1, 0); minimum
D. (1, –4); maximum
Answer: The correct answer is A.
Step-by-step explanation: The graph cannot have a maximum, as the quadratic function goes on forever upwards. However, it can have a minimum, and the lowest point on the quadratic function is (1, -4).
A sphere with a diameter of 30 inches would have a volume of what
Answer:
Volume of a Sphere is 4/3 * π * r^3 , r is the radius of the sphere.
volume = 4/3 * π * r^3
= 1.13×105in³
Volume of a 30″ radius sphere is
113,097 cubic inches.
Y=2x +1 what is y increased by if x is increased by 5
Answer:
10
Step-by-step explanation:
When X increases by 5, 2X increases by 10 while the 1 keep no change
So y increases by 10
Can someone help me with this question please
The congruent parts of the triangle are:
< A ≅ <X
<B ≅ <Z
<C ≅ <Y
AB ≅ XZ
AC ≅ AY
BC ≅ ZY
BCA ≅ ZYX
What are the congruent parts?The shape in the image are right angle triangles. A right angle triangle is a triangle that has three sides and a right angle. Congruent triangles are triangles that have the same size and the angles.
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PLSSS I NEED HELP I’LL MARK BRAINLYESS OR WTV IS CALLED
Answer: y= -7 y= -5 y= -3 y= -1
Step-by-step explanation:
What is the Trigonometric ratio of cos180?
[tex]\cos 180^{\circ}\\\\=\cos(2 \cdot 90^{\circ})\\\\=2 \cos^2 90^{\circ}-1\\\\=2 \cdot 0 - 1\\\\=0-1\\\\=-1[/tex]
whats f? 0.62(f + –6) + 6.96 = 8.2
Answer:
f=8
Step-by-step explanation:
0.62(f+(-6)+6.96=8.2
0.62(f-6)+6.96=8.2
multiply both sides by 100
0.62(f-6)*100+6.96*100=8.2*100
Refine
62(f-6)+696=820
Subtract 696 from both sides
62(f-6)+696-696=820-696
Simplify
62(f-6)=124
Divide both sides by 62
62(f-6)/62 = 124/62
Simplify
f-6=2
add 6 to both sides
f-6+6=2+6
simplify
f=8
Answer:
8
Step-by-step explanation:
1. Distribute 0.62 to each term in the parenthesis:
0.62(f) + 0.62(-6)
0.62f - 3.72 + 6.96 = 8.2
2. Add 3.72 and 6.96:
0.62f - 3.72 + 6.96 = 8.2
0.62f + 3.24 = 8.2
3. Subtract 3.24 from both sides of the equation:
0.62f + 3.24-3.24 = 8.2-3.24
0.62f = 4.96
4. Divide 0.62 by both sides to isolate f:
0.62f/0.62 = 4.96/0.62
f = 8
hope this helps!
Which of the following terms best describes the red line segment in the
ellipse shown below?
O A. Center
O
B. Focus
O
C. Minor axis
D. Major axis
The term that best describes the red line segment of the ellipse is minor axis . C
What is an eclipse?
An eclipse can be defined as an astronomical event that occurs when an object or spacecraft is obscured as the shadow of another body passes or when another body pass between it and an observer.
The axis of an eclipse could major or minor.
The minor axis of an ellipse is the line that contains the shorter part of the two line segments about which the ellipse is symmetrical. It is perpendicular to the major axis and passes through the center of the axis.
Therefore, the term that best describes the red line segment of the ellipse is minor axis . C
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standard form of y=6(x-2)^2-3
4. Maryam's average monthly expenses are $3,750. She wants to have an emergency fund that
covers 3 months of expenses saved up within the next 24 months. If she's starting with $300 in
her account, how much does she need to save each month to reach that goal?
Answer:
$456.25 each month
Step-by-step explanation:
Fund for 3 months 3750 * 3 = 11250
Start with 300 => 11250 - 300 = 10950
Within 24 months to reach 10950 => each month = 10950 / 24 = 456.25
She needs to save $456.25 each month for the next 24 months to reach her goal.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Monthly expenses = $3,750
For 3 months = 3 × 3750 = $11250 need to save total.
Since she started with $300 so
11250 - 300 = $10950 need to save total.
Let's say the amount per month is x
24x = 10950
x = 456.25.
Hence "She needs to save $456.25 each month for the next 24 months to reach her goal".
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pls help me classify this?!?
Answer:
what exactly are we classifying here, angle? Shape?
3. The high school students who attend Springfield Women's Academy are eligible to tryout for various teams within the athletic department. Students are 74% likely to tryout for softball; 27% likely to tryout for volleyball; 42% likely to tryout for tennis; and 88% likely to tryout for swimming. Many students choose to tryout for multiple teams. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors. What is the probability of the union of trying out for either volleyball or swimming?
a. 1. 15
b. 0. 61
c. 0. 91
d. 0. 24
The probability of the union of high school students of trying out for either volleyball or swimming is 0.9. Option C is correct.
What is condition probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The conditional probability is the happening of an event, when the probability of occurring of other event is given. The probability of event A, given that the event B is occurred.
Students of high school who attend Springfield Women's Academy are eligible to tryout for various teams within the athletic department. In this,
74% likely to tryout for softball; 27% likely to tryout for volleyball; 42% likely to tryout for tennis; 88% likely to tryout for swimming.Let the tryout for volleyball is event A and tryout for swimming is event B. Thus,
P(A)=0.27
P(B)=0.88
Many students choose to tryout for multiple teams. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.
Thus, probability of the union of trying out for either volleyball or swimming
P(A or B)=P(A)+P(B)-P(A and B)
P(A or B)=0.27+0.88-P(A)*P(B)
P(A or B)=0.27+0.88-0.27×0.88
P(A or B)=0.9
Hence, the probability of the union of high school students of trying out for either volleyball or swimming is 0.9. Option C is correct.
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If the scale factor is 1 do I divide or multiply?
Multiply
Scale factor is directly proportional to algebraic operations
If scale factor is 1/2 then you have to divideIf scale factor is +3 or -3 you have to add and subtract respectivelyAs it's 1 only you have to multiply
HELP I WILL GIVE BRAINLIEST
Step-by-step explanation:
4√2 . √2
= 4 * 2
= 8
3√7 - 2√7
= √7 ( 3 - 2 )
= √7 ( 1 )
= √7
√7 / 2√7 = 1 / 2
2√5 . 2√5
= 2 * 2 . √5 *√5
= 4 * 5
= 20
Find the value of x.
x:12=5:8
Answer:
Since 5:8is constant with respect to x, the derivative of 5:8 with respect to x is 0.0
Step-by-step explanation:
Answer:
x = 7.5
Step-by-step explanation:
expressing the ratio as a fraction , that is
[tex]\frac{x}{12}[/tex] = [tex]\frac{5}{8}[/tex] ( cross- multiply )
8x = 60 ( divide both sides by 8 )
x = 7.5
can anyone please solve this and tell me if it's correct, please
Answer check:
✅✅You got both correct. Good luck on the exam!
Answer: the first one is correct and the second one is wrong its 1/5
Step-by-step explanation:
Match each set of measurements to the correct calculated volume of a cylinder.
Cylinder V=Bh
diameter = 6 ft, height = 2.5 ft
volume = 20 ft
radius = 2 ft, height = 4.5 ft
volume = 187 ft
area of base = 102 ft2, height = 2 ft
→
volume = 22.5% ft3
Answer:
Diameter = 6 ft, height = 2.5 ft=====Volume 22.5
Radius = 2ft, height=4.5 ft=======18 pie ft ^3
Area Base = 10Pie ft ^2 , height =2 ft=====Volume 20 pie ft ^3
Step-by-step explanation:
edge 2022
HELPPPP!!! LAST QUESTION!!!
Answer:
1/12
Step-by-step explanation:
Total students: 24
Requirement: 2
Simplify:
2/24 -> 1/12
Find an equivalent fraction for each fraction below. 3/4
Answer: 6/8 , 9/12 , 12/16 , 15/20, ect...
Step-by-step explanation:
Its simple once you get the hang of it:)First multiply the numerator(3) and denominator(4) by any number(2,3,4,5,6,7,8,ect...).Example:3*2 = 6
4*2 8
You can check if it is equivalent by dividing the numerator and denominator by 2
Example:6 divided by 2= 3
4 divided by 2 4
You can replace 2 with 3,4,5,6 ect...
3/4 multiplied by 3 =9/12, 3/4 multiplied by 4 is 12/16, 3/4 multiplied by 5 is 15/20.
Hope this helps, let me know if you want more examples.
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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Find an equivalent fraction for the fraction below. 3/4
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
If fractions are equivalent, they are equal to each other.
An example of a fraction equal to 3/4 is:-
[tex]\bold{\displaystyle\frac{6}{8}} \dashleftarrow\sf{The\:numerator\:and\:denominator\:are\:multiplied\:by\:2}[/tex]
This is just one example; in fact, there are infinitely many fractions equivalent to 3/4; you can multiply the numerator & denominator by 2:
6/8 = 12/16 =24/32...
You can also multiply by 3:-
9/12 =12/36...
You can multiply by 4, 5, 6, 7, 8....
Overall, you can multiply by any number you wish. As long as you multiply the numerator and denominator by the same number, you will get a fraction that's equivalent to the original fraction.
Good luck.-- - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - -- - - - - - -- - - - - - - - -- -
Which equation shows the same relationship as 72 x 1/8 = 9?
Hey there!
72 * 1/8 = 9
= 72/1 * 1/8
= 72(1) / 1(8)
= 72 / 8
= 72 ÷ 8
= 9
Thus, the answer could either be:
• 72/1 * 1/8
• 72 / 8
OR
• 72(1) / 1(8) (hence how we possibly received answer number 2)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she rose 22.3 feet. How many feet had she been below sea level, if she was 39.6 feet below sea level after she rose?
Answer:
39.6
Step-by-step explanation:
I think.
You have at most $23 to spend at a market. Apples cost $0.50 each, and pears cost $0.75 each. Let a be numbers of apples and p be numbers of pears. Write an inequality that represents the numbers of apples and pears you can afford.
Answer:
Apples only
0.50a ≤ 23
Pears only
0.75p ≤ 23
Apples and Pears together
0.50a + 0.75p ≤ 23
Step-by-step explanation:
Since it said that "at most", the sign should be ≤
A gardener wants to fence in her plot in two equal rectangular sections. If she has 54 yards of fence and the area of the entire plot is 108 square yards, find the possible dimensions of the garden.
Considering the perimeter and the area of the rectangle, the possible dimensions are of 22.11 yards and 4.89 yards.
What are the area and the perimeter of a rectangle?Considering a perimeter of length l and width w, we have that:
The area is lw.The perimeter is 2(l + w).In this problem, considering the amount of fencing as the perimeter, and the area, we have that:
2(l + w) = 54 -> l + w = 27 -> w = 27 - l.lw = 108.Then:
l(27 - l) = 108
l² - 27l + 108 = 0.
Which is a quadratic equation with coefficients a = 1, b = -27, c = 108, then:
[tex]\Delta = b^2 - 4ac = (-27)^2 - 4(1)(108) = 297[/tex]
[tex]x_1 = \frac{27 + \sqrt{297}}{2} = 22.11[/tex]
[tex]x_2 = \frac{27 - \sqrt{297}}{2} = 4.89[/tex]
Then, the possible dimensions are of 22.11 yards and 4.89 yards.
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Which one of the following statements is true about parallel lines
A. The Intersect at least twice
B. They intersect at one point
C. They intersect at more than one point
D.they never intersect
Answer:
D. They never intersect
Step-by-step explanation:
I need to know how to solve these using the box method
Answer:
5. (2x-3)(3x+2)
6.(x-8)(2x-5)
7.(5x-2)(2x+1)
8.(4x+3)(x+3)
Step-by-step explanation:
example on how to solve this in not how you solve your questions
2x times x = 2x2
2x times 2 = 4x
5 times x = 5x
5 times 2 = 10
The factors are (2x + 5) and (x + 2), so 2x2 + 9x + 10 = (2x + 5) × (x + 2)
4x and 5x are interchangeable, so you could put 5x in the first row and 4x in the second row and still get the same answer.
What is the difference between the greatest
and least amounts of monthly rainfall?
Write an equation to
model your work.
Answer:
Step-by-step explanation:
Answer:
1\frac{7}{8} inches1
8
7
inches
Step-by-step explanation:
From the image we know that the greatest amount of rainfall is 2 inches, and the least is 1/8. If we subtract these two, we'll find the difference
2-\frac{1}{8}=\frac{16-1}{8}=\frac{15}{8}=1\frac{7}{8}2−
8
1
=
8
16−1
=
8
15
=1
8
7
Therefore, the difference between the greatest and least amount of rainfall is 1\frac{7}{8} inches1
8
7
inches
Remember that the greatest amount of rainfall is represented by the greatest number, and the least amount of rainfall is represented by the least number.
I hope it helps you
