Answer:
The height of the triangle = 6 inches
The base of the triangle = 10 inches
Step-by-step explanation:
The formula for the Area of a Triangle = 1/2 × Base × Height
Area = 30 in²
h = b - 4
Hence
30 = 1/2 × b × b - 4
Cross Multiply
30 × 2 = b² - 4b
60. = b² - 4b
b² - 4b - 60
We factorise the Algebraic expression to find b
b² - 4b - 60 = 0
b² - 10b + 6b - 60 = 0
b(b - 10) + 6(b - 10) = 0
(b - 10) + (b + 6 ) = 0
b - 10 = 0 , b = 10
b + 6 = 0, b = -6
We are going to take the positive answer of b as the value of b
b = 10 inches
Solving for h
h = b - 4
h = 10 - 4
h = 6 inches
Therefore, the height of the triangle = 6 inches
base of the triangle = 10 inches
15. Lee hit a golf ball with an initial velocity of 150 feet per second at an angle of 45 degrees above the horizontal. Calculate how long the ball will be in the air to the nearest tenth of a second.
Answer: [tex]21.6\ s[/tex]
Step-by-step explanation:
Given
The initial velocity of the ball is [tex]u=150\ ft\s[/tex]
Angle of projection [tex]\theta=45^{\circ}[/tex]
The time of flight of the ball is given by
[tex]T=\dfrac{2u\sin \theta}{g}\\\\[/tex]
Insert the values
[tex]T=\dfrac{2\times 150\times \sin 45^{\circ}}{9.8}\\\\T=\dfrac{212.132}{9.8}\\\\T=21.6\ s[/tex]
PLS HELP
what would be the equation for this one?
Answer:
x^2 + y^2 = 25
Step-by-step explanation:
The standard form of a circle equation is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius.
We can see that the center is (0, 0) by looking at the graph, and the radius is 5 because it is marked. Plugging these in we get:
x^2 + y^2 = 25
Which angles are vertical angles?
Answer:
∠8 and ∠5
Step-by-step explanation:
Vertical angles are angles that are across from each other.
∠8 and ∠5 are across from each other.
please help me with this
Answer:
i can't see the file can u share it to me
Hello! Hope everyones doing ok. could use your help here:
1. Draw 16 stairs. Put them equally into 2 sets. How many stairs are in each set? ___
2. Round each number to the nearest 10. Then subtract : 497 - 315 is about: ___
3. Abel drew some Triangles. his drawing had 21 Vertices. How many triangles did he draw? write a division equation to answer the question: ___
Answer:
180
Step-by-step explanation:
500 - 320
180
this is answer hope it helps
How do you know if a triangle is right acute or obtuse?
if a²+b²>c², the triangle is acute, if a²+b2²=c², the triangle is a right triangle, and if a²+b²<c², the triangle is obtuse.
where a and b are the lengths of the two shorter sides of the triangle and c is the length of the longest side.
A right-angled triangle is a triangle with one of the angles at 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle.
An acute triangle has three angles that each measure less than 90°. In an acute-angled triangle, all three internal angles of the triangle are acute, that is, they measure less than 90°.
An obtuse triangle is a triangle with one angle that is greater than 90° degrees, it is not possible for a triangle to have more than one obtuse angle.
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Find the value of x. Round to
the nearest tenth.
10
IX
500
X = [?]
Enter the number that belongs in
the green box.
Enter
Answer:
x = 88.2
Step-by-step explanation:
Reference angle = 10°
Opposite = x
Adjacent = 500
Apply TOA:
Tan 10° = x/500
Multiply both sides by 500
500*Tan 10° = x
88.1634905 = x
x = 88.2 (nearest tenth)
Toni invests money into an account which pays a fixed rate compound interest each year.
The total value, £V, of her investment after 't' years is given by the formula=1350 x 1.04t.
How much did Toney invest?
if u get this ur a genius
Answer: Toni invested in pounds= $1350
Step-by-step explanation:rate of compound interest=4%
Step-by-step explanation:
Toni invests money into an account which pays a fixed rate of compound interest each year. The total value, £V, of her investment after t years is given by the formula:
Given equation is in the form of
where P is the amount invested
'r' is the rate of interest
t is the time taken
P= 1350 is the initial amount invested
1+r= 1.04 (subtract 1 from both sides)
multiply it by 100 to get percentage
r= 4%
I just search it bc my brain dosent work any more
Galeno wants to buy a video game at a store having a 20% off storewide sale. The regular price of the video game is $50. The sales tax on the video game is 5.75%. How much does Galeno pay for the video game?
Answer:
42.30
Step-by-step explanation:
What is the length of the longer side ?
Answer:
C.11
Step-by-step explanation:
a perimeter is the total length of all sides of a rectangle. so
rectangle has 4 sides and it says that the shorter side is 5 so 5+5 for the shorter side and it's 10
32-10=22
22÷2= 11
(basta yan lang alam ko, sorry kung mali.)
help for 100 points please please
Answer:
Step-by-step explanation:
Take the percentages for both 1992 and 2000 and make the average. that is your answer
A car travels 200 miles on 10 gallons of gas. At this rate, how many gallons will it need to travel 280 miles
Answer:
14
Step-by-step explanation:
200 / 10 = 20
20 miles a gallon
280 / 20 = 14
:)
Answer:
14 gallons
Step-by-step explanation:
200 miles takes ten gallons, and 280 is equal to 100 percent plus 40 percent of 200, and 140 percent of 10 is 14. if that makes sense
Write an expression which is equivalent to w(4w3 + 8w4) – (5w3 – 2w5)
Answer:
4w4 + 10w5 - 5w3
Step-by-step explanation:
Find the value of y for the given x equal to a value. y=-2x+7 when x=-2
A. y=3
B. y=-3
C. y=11
D. y=-11
What is value of tan 90?
Answer:
Step-by-step explanation: infinity or undefined.
Decompose one number to subtract 726-340
The subtraction of the given number would be = 386
What is subtraction?Subtraction is defined as one of the major arithmetic operations that is used to remove a value from another given values.
The subtraction of the value 340 from 726 would be = 386.
That is; 726 - 340 = 386
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plz give step by step explanation
Which is a solution to the equation?
3x + y = 2
a) 4
b) (-1,2)
c) (3-5)
d) (1,-1)
which number is greater than the number at point p
A small snowcone costs $0.75 at the local snowcone shack. Mrs. Eckelberry had the snowcone shack deliver small snowcones for some of her students. She spent $18.75 for the snowcones. The equation 0.75s = 18.75 could be used to determine how many snowcones were ordered. How many snowcones did Mrs. Eckelberry order? * 16 pointsss!
Answer:
25 snowcones
Step-by-step explanation:
0.75s = 18.75, where (s) is the number of students/snowcones ordered
Divide both sides by 0.75:
0.75s/0.75 = 18.75/0.75
s = 25
Your grandmother has given you some money, and now you plan to save what she has given you along with a certain amount of money each week. After 17 weeks, you have $570, and after 29 weeks, you have $822. a) Find an equation (in slope-intercept form) of the amount of money saved after × weeks.
An equation in slope-intercept form of the amount of money saved after x weeks is y=21x+213.
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Given that, after 17 weeks, you have $570, and after 29 weeks, you have $822.
Here, (17, 570) and (29, 822)
Substitute (x₁, y₁)=(17, 570) and (x₂, y₂)=(29, 822) in m=(y₂-y₁)/(x₂-x₁)
= (822-570)/(29-17)
= 252/12
= 21
Substitute, m=21 and (x, y)=(17, 570) in y=mx+c, we get
570=21×17+c
570=357+c
c=213
Substitute, m=21 and c=213 in y=mx+c, we get
y=21x+213
Therefore, an equation in slope-intercept form of the amount of money saved after x weeks is y=21x+213.
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√
18
−
√
2 simplify far as possible
Answer:
2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{2x9}[/tex] - [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex] - [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]
I need help ASAP. Last Assignment for this class.
The center of a Ferris wheel is 55 feet above the ground. The Ferris wheel completes one revolution every 40 seconds. The distance between the lowest and highest points of the Ferris wheel is 100 feet. A trigonometric function models the height of the seat that starts closest to the ground when the wheel begins moving.
(a) What is the period of the function?
(b) What is the amplitude of the function?
(c) What is the midline of the function?
(d) Sketch the first two periods of the graph of the function.
Plot and label the key points of the graph. Label each axis with an appropriate scale.
Answer:
a squared plus b squared equals c squared
Step-by-step explanation the answer either your in for a bumpy ride
4 time 3=12
Answer:
The answer is CStep-by-step explanation:
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
GCF = 4
add to: -14
multiply to: 45
4(x-5)(x-9)
Step-by-step explanation:
Is log e and log same?
The log function with base 10 is called the “common logarithmic functions” and the log with base e is called the “natural logarithmic function”. The logarithmic function is defined by, if logab = x, then ax = b.
The log with a base "e" (log e) is the same thing as In
The natural logarithmic function log e refers to its logarithmic function of the base of the constant e. For this equation to be equivalent in logarithm;
We can say that:
log e = ln
Logarithm may alternatively be defined as the exponent power to which a base must be raised in order to produce a given number.
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How many solutions does the system y 3x 4 and 6x 2y 8 have?
The system y = 3x + 4 and 6x - 2y = 8 has no solutions.
A system of equations is a set of equations with multiple variables. To determine the number of solutions for a system of equations, one can use the following methods: graphing, substitution, or elimination. In this case, we can use the elimination method by adding or subtracting the equations to eliminate one of the variables.
If we add the two equations, we get y = 3x + 4 + 6x - 2y = 8, which results in 3x + 4 = 8. This is an inconsistent equation and does not have any solutions. Therefore, the system y = 3x + 4 and 6x - 2y = 8 has no solutions.
This shows that the system is inconsistent, which means that there's no solution that satisfies both equations.
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What is the slope of the line? (30 points)
Answer:
Slope = -1 or (-1/1)
Step-by-step explanation:
slope = m
Point 1: (0, 2); Point 2: (2, 0)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 0 - 2 -2
m = ----------- = ---------- = ------- = -1 or (-1/1)
x₂ - x₁ 2 - 0 2
I hope this helps!
The mean and median of the five Numbers are the same 4 6 x y 10
The value of x is 7 and value of y is 8
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given data set is {4, 6, x, y, 10}
The mean and the median are the same value.
The median is the middle value, which is x, and the mean is:
M = (4 + 6 + x + y + 10)/5
Then we have that:
(4 + 6 + x + y + 10)/5 = x
Now let's solve this:
(4 + 6 + x + y + 10) = 5x
20 + x + y = 5x
20 + y = 4x
And x and y are whole numbers. Then we can take x = 7 to get:
20 + y = 4*7
y = 28 - 20 = 8
Then we have x = 7 and y = 8.
Hence, the value of x is 7 and value of y is 8 in the data set 4 6 x y 10
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In a school of 600 students, there are seven times as many right-handed pupils as left-handed pupils. How many pupils are right-handed?
Answer:
About 516 students are right handed.
Step-by-step explanation:
Divide 600 by 7 to get 85.7143. Round up to 86. Multiply times 6.
Answer:
I'll setup the problem and leave you to solve it
Step-by-step explanation:
L = number of left-handed students
R = number of right-handed students
you have 2 equations
L + R = 600 (1)
R = 7 x L (2)
solve for L in equation 1
L = 600 - R
substitute L in equation 2
R = 7(600 -R)
multiplying and gathering like terms
8R= 4200
solve for R and you have your answer
Here are several function rules. Calculate the output for
each rule when you use -6 as the input.
Rule #
Output
1
2
3
5
6
Answer: 6
Step-by-step explanation:
factor 8x^2+ 30x - 4x + 15
Answer:
(2x+5)x(4x+3)
Step-by-step explanation:
have a nice day