Answer:
577.95
Step-by-step explanation:
find area of rectangle and then 2 triangles
15*33=495
8*15*1/2=60
3*15.3*1/2=22.95
22.95+60+495=577.95
Tanner is 2 years younger than his brother. Tanners age t in years is 2 years less than his brothers age b
Answer:is his brother 4 or 8
Step-by-step explanation:
I don't know for sure
A $9070 investment earns interest at
3.3% per year compounded
semiannually over 17 years. Use the
compound interest formula to
calculate the value of this investment
to the nearest cent.
Answer:
The investment will be worth $16898.67 after 17 years, compounded semiannually at 3.3% per year.
Step-by-step explanation:
The compound interest formula is:
A = P * (1 + (r/n))^(nt)
where
A is the amount of the investment after t years,
P is the principal amount (9070),
r is the annual interest rate (3.3%),
n is the number of times the interest is compounded per year (2),
t is the number of years (17).
Using the formula:
A = 9070 * (1 + (0.033/2))^(2 * 17)
A = 9070 * (1.0165)^34
A = 9070 * 1.882611
A = 16898.67 to the nearest cent.
So the investment will be worth $16898.67 after 17 years, compounded semiannually at 3.3% per year.
Answer: $3660.96 or $3661.0
Step-by-step explanation:
The monthly dues for a premium membership at a health club is $15 more than the cost of a standard membership.
The premium membership is $40 per month.
What is the cost of a standard membership?
please explain how you got the answer
Answer:
To find the cost of a standard membership, we need to subtract the $15 premium from the monthly premium membership cost of $40.
$40 - $15 = $25
Therefore, the cost of a standard membership is $25 per month.
The diagonals of EFGH intersect at point M. if HM =37
Answer:
If HM = 37, then ML = 37 as the diagonals of EFGH intersect at point M.
Step-by-step explanation:
To solve the diagonals of EFGH intersecting at point M, if HM = 37, first graph the points on a coordinate grid and draw the diagonals. Then use the Pythagorean Theorem to calculate the length of HM. Finally, use trigonometry to calculate the angle measure of FHG.
please help i will award brainliest
The given diagram in the image is dilated by a scale factor of 1.5.
What is a scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. Dilation is the process of increasing an object's size without altering its shape. Depending on the scale factor, the object's size may increase or decrease
The coordinate point of the image is at 2. After dilation, the point will reach the coordinate at 5.
The scale factor of the point will be calculated as:-
Scale factor = 9 / 6
Scale factor = 1.5
Therefore, the scale factor for the given diagram in the image is 1.5.
To know more about scale factors follow
https://brainly.com/question/25722260
#SPJ1
The flight time from Boston to London is 6 hours 20 minutes. I arrive London at 4:05pm. What time did I set off from Boston
Answer:
Step-by-step explanation:
4:05pm go back 4hours and it’s 12:05, then go back another 2 hours, 10:05, then go back another 20mins and it’s 9:45am
Edna has been keeping an eye on an emerald ring she likes. She just noticed that it has been marked down to $28,394.70, which is 27.1% less than its original price. What was the original price of the ring?
Round your answer to the nearest cent.
Answer:
36089.66
Step-by-step explanation:
First you have to change the percent to a decimal (0.271) then you multiply the number by $28,394.70 and get (7,694.96) last you add ($7,694.96)+ ($28,394.70) to get your answer
Find (fog)(-4)!!!!!!!
Answer:
23
Step-by-step explanation:
We can think of (f o g)(-4) as f(g(-4)).
As you can see, we start with the inner function and the output of the inner function becomes the output of the outer function.
So we'll plug in -4 for x in g(x) and then the output of this becomes the input of f(x):
[tex]f(x)=2x-1\\g(x)=x^2-4\\f(g(-4))\\\\g(-4)=(-4)^2-4=12\\\\f(12)=2(12)-1=23[/tex]
Suppose you purchased a shirt for $16.51 using a coupon. If the shirt originally costs $25.40, what was the percent discount from the coupon? Simplify your answer completely.
The discount can be found by subtracting the sale price from the original price:
$25.40 - $16.51 = $8.89
So the discount was $8.89.
To find the percent discount, we can divide the discount by the original price and multiply by 100:
$8.89 / $25.40 * 100% = 35%
Therefore, the percent discount from the coupon was 35%.
Diane asked 12 students how many courses they have taken so far at her college. Here is the list of answers. 14, 3, 22, 10, 3, 5, 23, 18, 16, 9, 1, 26 What is the percentage of these students who have taken fewer than 4 courses?
Select all that apply.
Given the points (-6, 8) and (-3, 4), which of the following are true about the line passing through these points?
The line represents a direct variation function.
The line has a slope of - 3/4.
The point (9, -12) is also on the line.
The line has a slope of 3/4 .
Answer:
The line has a slope of - 3/4.
The line has a slope of 3/4.
Step-by-step explanation:
To determine the slope of a line passing through two points, you can use the formula:
Slope = (y2 - y1) / (x2 - x1)
Using the points (-6, 8) and (-3, 4), the slope would be:
Slope = (4 - 8) / (-3 - (-6)) = -4 / 3 = -4/3
So, the line has a slope of -4/3. The other statements in the list are not necessarily true based on the given information.
Sharks can swim 45 miles per hour. How long would it take for the shark to swim 1 mile?
Answer:
Below
Step-by-step explanation:
distance / rate = time
1 mi / (45 mi/hr) = 1/45 hr = .02222 hr = 1 1/3 min
11.3 min
...............
what is 1777771 plus 8999907
Answer: 10777678
ywyw
Eli and Pierre wanted to buy $40 of breakfast rolls for guests. Bagels B are $1.25, and Crossiants C are $2 each. With the extra guests coming, they later increased their budget to $55.
The difference between the vertical intercepts is ________
Answer:
The difference between the vertical intercept is a ratio of 20$ so the difference in intercepts is about 2.50$ or 20 spaces.
Hope this helps
Write the solution set of the given homogeneous system in parametric vector form. x1 + 2x2-15x3 = 0 2x1 + x2-15x3-0 X1X2 where the solution set is x = | x2 X3 x=x3 (Type an integer or simplified fraction for each matrix element.
The solution set of the given homogeneous system in parametric vector form is x₁ = 5 = x₂ , x₃ = 1.
What is parametric vector form?
The identity matrix's two columns, which stand in for the two leading coefficients in the row echelon form of the original matrix, are added to create the parametric vector.
We are given set of equations as:
x₁ + 2x₂ - 15x₃ = 0
2x₁ + x₂ - 15x₃ = 0
-x₁ + x₂ = 0
Now, representing this in the matrix form, we get
[tex]\left[\begin{array}{cccc}1&2&-15&0\\2&1&-15&0\\-1&1&0&0\end{array}\right][/tex]
Now, we will reduce the matrix i.e. in row echelon form using elementary operations
From this, we get
[tex]\left[\begin{array}{cccc}1&0&-5&0\\0&1&-5&0\\0&0&0&0\end{array}\right][/tex]
So, we get that x₃ is the free variable.
Now, representing this in the parametric vector form, we get
x₁ - 5x₃ = 0
x₂ - 5x₃ = 0
x₃ = x₃
From this, we get
x₁ = 5x₃
x₂ = 5x₃
x₃ = x₃
So, we now get
x = [tex]\left[\begin{array}{c}x_{1} &x_{2} &x_{3} \end{array}\right][/tex]
This is equal to
x = [tex]\left[\begin{array}{c}5x_{3} &5x_{3} &x_{3} \end{array}\right][/tex]
Thus,
x = [tex]\left[\begin{array}{c}5 &5 &1 \end{array}\right][/tex]
Hence, the solution is x₁ = 5 = x₂ , x₃ = 1.
Learn more about parametric vector form from the given link
https://brainly.com/question/30465719
#SPJ4
Are the two triangles similar? If so, state the reason and the similarity statement.
A) Impossible to determine
B) The triangles are not similar.
C) Yes, SSS;VWX ~ YZX
D)Yes, SAS; VWX~YZX
The ratio of the corresponding sides are different. Then the triangles are not similar. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The ratio of the corresponding sides are given as,
YX / XV = ZX / XW
3 / 9 = 2 / 8
1 / 3 ≠ 1 / 4
The ratio of the corresponding sides are different. Then the triangles are not similar. Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ1
What is the scale factor, without units, of 1 in : 14 ft and 1 in : 30 yard
The scale factor for the ratios of 1 in : 14 feet and 1 in : 30 yards without units are 1: 168 and 1: 1080 respectively.
What is scale factorScale factor is the ratio between the scale of a given original object and a new object, which is its representation but of a different size either bigger or smaller.
For the ratio 1 in : 14 feet, we convert to the same unit in inches:
1 foot = 12 inches
14 feet = 12 × 14 inches
14 feet = 168 inches
1 in = 168 in
1 : 168
For the ratio 1 in : 30 yards, we convert to the same unit in inches:
1 yard = 36 inches
30 yards = 36 × 30 inches
30 yards = 1080 inches
1 in = 1080 in
1 : 1080
Therefore, the scale factor for the ratios of 1 in : 14 feet and 1 in : 30 yards without units are 1 : 168 and 1 : 1080 respectively.
Know more about scale factor here: https://brainly.com/question/2826496
#SPJ1
Convert the number to scientific notation.
120,000,000,000,000
Answer:
1.2 x [tex]10^{14}[/tex]
Step-by-step explanation:
Scientific notation OR standard form:
This is expressed in powers of 10 (i.e [tex]10^{x}[/tex])
If the decimal point cannot be visibly seen, you can deduce that the decimal point is currently located after the last digit (i.e ‘0’).
For the number to be expressed in scientific notation, the decimal point has to be placed right after the first digit (which is NOT a zero) in the left most direction.
For this number, the decimal point has to be placed right after the ‘1’. Therefore, the decimal point will be moving 14 places to the left. In addition, this 14 is considered as the positive power of 10.
Answer:
1.2 × 10¹⁴
Step-by-step explanation:
Scientific notation is written in the form [tex]a \times 10^n[/tex], where [tex]1 \leq a < 10[/tex] and [tex]n[/tex] is any positive or negative whole number.
To convert a number into scientific notation, move the decimal point to the left or right until there is one non-zero digit to the left of the decimal point.
The number of times you have moved the decimal point is the power of 10 (the value of n).
If the decimal point has moved to the left, n is positive.If the decimal point has moved to the right, n is negative.Therefore, to convert 120,000,000,000,000 to scientific notation, move the decimal point 14 places to the left so that [tex]a[/tex] is 1.2.
As the decimal point has been moved 14 places the left, we need to multiply 1.2 by 10¹⁴.
Therefore, 120,000,000,000,000 = 1.2 × 10¹⁴.
Find the value of Y.
The value of y is 13√2 (optionB)
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
Sin(tetha) = opp/hyp
cos (tetha) = adj/hyp
tan(tetha) = opp/adj
therefore cos 45 = 13/y
1/√2 = 13/y
y = 13√2
therefore the value of y is 13√2
learn more about trigonometric ratio from
https://brainly.com/question/24349828
#SPJ1
How much has the value of y changed between the points (-8,4) and (8,-4)?
A particular fruit's weights are normally distributed, with a mean of 796 grams and a standard deviation of 28 grams. The heaviest 2% of fruits weigh more than how many grams?
Answer =
(Give your answer to the nearest gram.)
Answer:
325888899998898897879
Help please! Easy points!
If h(x) =x+2 , g(x) =x² and f(x) =-x , find the values of x for which gh(x) =f(x)
The values of x for which gh(x) = f(x) are -1 and -4.
As a result, we have gh(x) = g(h(x)) = g(x + 2). ² = x² + 4x + 4 f(x) = -x
The equation must be solved in order to determine the range of x values for which gh(x) = f(x):
x² + 4x + 4 = -x
When all the phrases are moved to the left, we obtain:
x² + 5x + 4 = 0
This quadratic equation has the following factors:
(x + 1)(x + 4) = 0
Thus, either x + 1 = 0 or x + 4 = 0 is the answer.
We obtain x = -1 or x = -4 after solving for x.
Hence, -1 and -4 are the values of x for which gh(x) = f(x).
To know more similar question visit:
https://brainly.com/question/23286212
#SPJ1
Question 19). TPRS is a parallelogram. Identify mZR.
P
R
(4x+1)
T
(3x+4)
S
( 4x + 1 ) ° = ( 3x + 4 )°
Opposite side of parallelogram are always equal ...
4x + 1° = 3x + 4°
4x - 3x = 4° - 1°
x = 3°
The measure of angle R from the given parallelogram TPRS is 101°.
What is parallelogram?A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.
Given that, TPRS is a parallelogram.
Here, ∠T=(4x+1)° and ∠S=(3x+4)°
The sum of adjacent angles of a parallelogram is 180°.
∠T+∠S=180°
(4x+1)°+(3x+4)°=180°
7x+5=180
7x=175
x=175/7
x=25°
So, ∠T=(4x+1)°=4×25+1=101°
∠T=∠R=101° (Opposite angles of parallelogram are equal)
Therefore, the measure of angle R is 101°.
Learn more about the parallelogram here:
https://brainly.com/question/19187448.
#SPJ5
Question number 10 I need help with please
Consequently, when 3300 pounds are utilized, sand, gravel, and cement weigh 1800, 900, and 600 pounds, respectively.
what is ratio ?In algebra, ratios display how infrequently one figure is contained in another. For instance, if there are 8- oranges and 6 citrus in a fruit dish, the percentage of oranges to oranges is 8 to 6. In a similar vein, lemons to whole fruit ratio is 8 to 1, whereas lemons to oranges rate is 6 to 8. A ratio is a non-zero ordered pair of numbers, x and y b, that is stated as a / b. A ratio is really an equation that joins two ratio. The ratio can be written as 1:3, signifying that if there 1 boy and (3) girls (she has 3 girls for every boy), 3/4 of the population is female and 1/4 is male.
given
the ratio of sans , gravel and sand is 6:3:2
total pounds needed = 3300
so 6x + 3x + 2x = 3300
11x = 3300
x = 300
6x = 6 * 300 = 1800
3x = 3* 300 = 900
2x = 2* 300 = 600
Consequently, when 3300 pounds are utilized, sand, gravel, and cement weigh 1800, 900, and 600 pounds, respectively.
To know more about ratio visit:
https://brainly.com/question/29467965
#SPJ1
The ratio of cats to dogs is 4:5 if there are 20 dogs how many are there ?
SHOW YOUR WORKG!
Answer: 16 cats
Step-by-step explanation: how many times does 5 go into 20?? 4 times (5x4) so you multiply 4 by 4
equation for (3,3) and (3,-3)
Answer:
x = 3
Step-by-step explanation:
A vertical line is drawn on a graph paper, which passes through points (3, 3) and (3, -3). For a vertical line, slope or gradient is undefined.
Therefore, the equation of vertical line is the common x-coordinate of the points along the line. In this case, the common x-coordinate is 3
∴Equation of line
x = 3
why does m1 x m2 = -1
Answer:
By Thales' Rule (aka "the angle in a semicircle is a right angle"), since PR is a diameter,angle PQR is 90 degrees, i.e. PQ is perpendicular to QR, so their gradients multiply to -1.Thus 8/12 * -6/(a-9) = -1, so 12(a-9) = 48, so a-9 = 4, so a=13, as required.
Step-by-step explanation:
1) Find the perimeter of the composite figure.
A) 23.5
B) 42.9
C) 46.9
D) 31.9
2) Find the area of the composite figure.
A) 64.25
B) 42.95
C) 39.5
D) 103.5
1) The perimeter of the composite figure is 31.9
2) The area of the composite figure is 64.25
What is perimeter?
The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.
There are 2 shapes: half circle and right triangle
diameter of half circle ,d=10
radius, r=d/2 = 10/2 = 5
Perimeter of half circle = π r = 3.14 * 5 = 15.7
In the right triangle,
base = 5, line perpendicular to base = 10
hypotenuse² = squares of other 2 sides added
= 5² + 10²
= 25 +100
= 125
hypotenuse = ± √125 = ±11.18
consider positive for length
hypotenuse = 11.18
The perimeter of the composite figure
= Perimeter of half circle +base of right triangle + hypotenuse of right triangle
=15.7 + 5 + 11.18
= 31.9
Area of half circle = 0.5*π *r² = 0.5*3.14*5² = 39.25
Area of right triangle = 0.5*base * height
= 0.5*5*10
= 25
The area of the composite figure
=Area of half circle + Area of right triangle
= 39.25 + 25
= 64.25
To learn more about the perimeter form the link:
https://brainly.com/question/19819849
#SPJ1
An obtuse angle has a measure of 150°. The angle was bisected. Each of those angles was then trisected. Finally, each of those angles was divided into 5 equal parts. How large is the smallest angle?
The smallest angle is 5° when each of those angles was divided into 5 equal parts.
What is an Angle ?In Geometry, an angle is a figure which is produced by two rays, which share a common point called a vertex. The two rays stand in for the angle's two sides. The Roman word "Angulus," which means "corner," is where the term "angle" originates. The intersection of two curves in this plane results in the angles. Angles of several kinds can be generated on a planar surface. As follows:
Acute Angle
Obtuse Angle
Right Angle
Reflex Angle
Straight Angle
Full Angle
Obtuse Angle :An angle greater than 90° but less than 180° is referred to as a "obtuse angle." An obtuse angle is between a right angle and a straight angle.
Now in this question,
Starting with an obtuse angle of 150°, bisecting it gives two angles of 75° each.
Trisecting each of these angles gives three angles of 25° each.
Dividing each of these angles into 5 equal parts gives angles of 5° each.
Therefore, the smallest angle is 5°.
Learn more about Obtuse Angles visit:
https://brainly.com/question/1581660
#SPJ1