Answer:
Lien: $26300 Her husband: $24700
Step-by-step explanation:
x+(x+1600)=51000
2x+1600=51000
2x=49400
x=24700
Her husband earned 24700
24700+1600=26300
Lien earned 26300
Anyone who know the answer please answer????
In a right triangle, the 58-cm hypotenuse makes a 51-degree angle with one of the legs. To the nearest
tenth of a cm, how long is that leg?
Answer:
36.5 cm
Step-by-step explanation:
The Adjacent leg is 36.5 cm
What are trigonometric functions?"The trigonometric functions (also called circular functions, angle functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths."
What is hypotenuse, opposite and adjacent side of a right angled triangle?"In a right angled triangle, the hypotenuse is the longest side, an opposite side is the one across from a given angle, and an adjacent side is next to a given angle."
We have
Hypotenuse (AB) = 58 cm
Angle θ = 51 degree
From the figure, by using trigonometric functions
Cos θ = [tex]\frac{BC}{AB}[/tex]
we have to find BC
Cos [tex]51^{0}[/tex] = [tex]\frac{BC}{AB}[/tex]
We have, AB = 58 cm
BC = AB cos [tex]51^{0}[/tex]
⇒BC = 58 . cos [tex]51^{0}[/tex]
⇒BC = 36.50 cm
⇒BC = 36.5 cm
Hence, Adjacent leg is 36.5 cm
Learn more about trigonometric functions here
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What are the mean, median, mode, and range of the data set given the altitude of lakes in feet
-11, -28, -17,-25, -28, -39, 6, and -46?
mean = -25, median=-26.5, mode=-28; range = 40
mean=-25, median=-40, mode=-26.5, range=28
mean = -26.5, median =-25; mode=-28, range = 28
O mean = -26.5, median = -28, mode =-25; range = 40
Answer:
Mean (Average) = -23.5
Median = -26.5
Mode = -28
Range = 52
Step-by-step explanation:
Mean is found when adding all numbers and dividing the outcome by the number of numbers, so -
-11 + -28 + -17 + -25 + -28 + -39 + 6 + -46 = -188
-188 ÷ 8 = -23.5
Median is found in the center, and can be found ordered from least to greatest -
-46, -39, -28, -28, -25, -17, -11, 6
last 2 remaining number would be -28 and -25, add those and divide by 2 which gives you -26.5.
The Median would be -26.5
Mode is the number that has repeated itself the most.
-28 repeated itself the most.
The Range is found when the least number is subtracted by the greatest number so -
6 - (-46) = 52
Find the equation of the circle with center at (3, -2) and radius of 3.
Formula to help you get the answer:
(x - h)² + (y - k)² = r²
hope this helps!
Determine if 0.875 is rational or irrational and give a reason for your answer.
Please help!! Prob and stats!!!
Ten field hockey teams are competing in a tournament. Only the top three teams will be recognized as the first place, second place and third place winners. In how many ways could the ranking of the top three teams occur?
Answer:
The ranking of the top three teams could occur in 720 ways.
Step-by-step explanation:
The order in which the teams are ranked is important, that is, for example, Oilers, Flames and Canucks is a different outcome of Oilers, Canucks and Flames. This means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In how many ways could the ranking of the top three teams occur?
Three teams from a set of 10. So
[tex]T = P_{(10,3)} = \frac{10!}{7!} = 720[/tex]
The ranking of the top three teams could occur in 720 ways.
Naomi's fish is 40 millimeters long. Her guinea pig is 25 centimeters long.
How much longer is her guinea pig than her fish?
Explanation 1:
Her guinea pig is
25 cm long.
25 cm = 250 mm
Her fish is 40 mm long, so her guinea pig is longer than her fish by
25 cm − 40 mm = 250 mm − 40 mm = 210 mm= 21 cm
Explanation 2:
First, lets convert the length of Naomi's guinea pig from cm to mm.
1 cm=10 mm
We can multiply each side of the equation by 25 to obtain the length of the guinea pig in mm.
25 × 1 cm = 25 × 10 mm
25 cm = 250 mm
Because we have a length of the guinea pig and the fish in a common metric we can subtract the two values: 250 mm − 40 mm = 210 mm The guinea pig is 210 millimeters longer than the fish. Or, if we want to convert this to centimeters we can divide by 10: 210 millimeters 10 = 21 centimeters
Hope this helps have a good day/night!
:21 ezz it is 21 centimeters
In the box-and-whisker plot below, what is the 2nd quartile?
a. 25
b. 30
c. 45
d. 50
The North American feather-winged beetle is one of the world's smallest beetles.
It is less than 0.0005 meters in length. What is the length of scientific notation?
A. 5.0 x 10-4
B. 5.0 x 10
C.5.0 x 102
D. 5.0 x 104
PLEASE ITS DUE TONIGHT. All help is really appreciated.
Answer:
21) 18
22) 9
Step-by-step explanation:
21) (4+8)/2*3 = 18
22) (8+10)/2 = 9
HELP ASAP I WILL MARK BRAINLEY
The diagram below shows Cameron's budgeted expenses for a trip he is planning. O $46.08 O 580 O $1,200 O $4,608 CLEAR ALL Cameron has budgeted $240 for meals during his full trip. What is the total budget for the trip?
A $46.08
B $80
C $1,200
D $4,608
Answer:
C $1,200
Step-by-step explanation:
The computation of the total budget fro the trip is as follows:
Since it is given that the budgeted amount for meals is $240 i.e. equivalent to 20%
By this information we can easily compute other budgeted expenses
For Lodging
= $240 × 0.32 ÷ 0.20
= $384
For transportation
= $240 × 0.36 ÷ 0.20
= $432
For Gifts
= $240 × 0.12 ÷ 0.20
= $144
Now the total budget for the trip is
= $384 + $240 + $432 + $144
= $1,200
How is the graph of the parent function y= hurrrr!!!x2 transformed to produce the graph of y= 3(x+1)2? It is translated 1 unit right and compressed vertically by a factor of 3. © It is translated 1 unit left and compressed vertically by a factor of 3. Olt is translated 1 unit right and stretched vertically by a factor of 3. It is translated 1 unit left and stretched vertically by a factor of 3.
Answer:
3.
Step-by-step explanation:
The graph is being moved to the left and then stretched by a factor of three. If it were to be compressed than the 3 would be 1/3.
The graph of the parent function is translated to 1 unit left and compressed vertically by a factor of 3.
Option B is the correct answer.
What is translation?It is the movement of the shape in left, right, up, and down direction.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
The graph of the parent function y = x² can be transformed to produce the graph of y = 3(x + 1)² by translating it 1 unit to the left and stretching it vertically by a factor of 3.
Here's why:
The (x + 1) part inside the square means that the graph is shifted 1 unit to the left.
The exponent of 2 means that the graph is squared, just like the parent function.
The coefficient of 3 in front of the square means that the graph is stretched vertically by a factor of 3.
Therefore,
It is translated 1 unit left and compressed vertically by a factor of 3.
Learn more about translation here:
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A heavy piece of equipment has wheels on one side and legs on the other as shown in the diagram below.
Two people are trying to move the equipment. Each person grabs a handle and begins to lift. The first person imparts an upward force of 300 N and the second person imparts an upward force of 290 N. This is enough to lift the side of the equipment, but they also need to get it moving.
While maintaining the upward forces, the first person imparts a horizontal force of 185 N and the second person a horizontal force of 205 N. They maintain these forces while the equipment begins to move.
What is the total force in the horizontal direction?
____ N
What is the total force in the upward direction?
____ N
Determine the magnitude and direction of this resultant vector (the resultant vector from combining the forces of the two people).
Magnitude: ____ N
Direction: _____ °
9514 1404 393
Answer:
horizontal: 390 Nvertical: 590 N707.2∠56.5° NStep-by-step explanation:
The problem statement tells you the two horizontal forces are 185 N and 205 N. The total horizontal force is (185 +205) N = 390 N.
The vertical forces are said to be 300 N and 290 N. The total vertical force is (300 +290) N = 590 N.
The magnitude of the resultant is the root of the sum of the squares:
√(390² +590²) = √(152100 +348100) = √500200 ≈ 707.248
The angle of the resultant (relative to the horizontal) is ...
α = arctan(vertical/horizontal) = arctan(590/390) ≈56.53°
The resultant force is about 707.2 N at an angle of 56.5° above the horizontal.
Two triangles have bases with lengths 5in and 8in.
a. Find the ratio of the areas of the triangles
b. If the area of the smaller triangle is 15in², what is the area of the larger triangle?
Show work
Answer:
i. The ratio of the areas of the two triangles is 5:8.
ii. The area of the larger triangle is 24 in².
Step-by-step explanation:
Let the area of the smaller triangle be represented by [tex]A_{1}[/tex], and that of the larger triangle by [tex]A_{2}[/tex].
Area of a triangle = [tex]\frac{1}{2}[/tex] x b x h
Where; b is its base and h the height.
Thus,
a. The ratio of the area of the two triangles is:
[tex]\frac{area of the smaller triangle}{area of the larger triangle}[/tex]
Area of smaller triangle = [tex]\frac{1}{2}[/tex] x b x h
= [tex]\frac{1}{2}[/tex] x 5 x h
= [tex]\frac{5}{2}[/tex]h
Area of the lager triangle = [tex]\frac{1}{2}[/tex] x b x h
= [tex]\frac{1}{2}[/tex] x 8 x h
= 4h
So that;
Ratio = [tex]\frac{\frac{5}{2}h }{4h}[/tex]
= [tex]\frac{5}{8}[/tex]
The ratio of the areas of the two triangles is 5:8.
b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;
[tex]\frac{area of the smaller triangle}{area of the larger triangle}[/tex] = [tex]\frac{5}{8}[/tex]
[tex]\frac{15}{A_{2} }[/tex] = [tex]\frac{5}{8}[/tex]
5 [tex]A_{2}[/tex] = 15 x 8
= 120
[tex]A_{2}[/tex] = [tex]\frac{120}{5}[/tex]
= 24
The area of the larger triangle is 24 in².
The circumference of a circle is 23 pi M what is the area in square meters express your answer in terms of pie
Answer:132.25π m²
Step-by-step explanation:The circumference of a circle is 23π
On the other hand, The circumference of a circle = 2×π×r ; where r is the radius. Then by equating the last two expressions we get: 23π = 2πr then r = 23/2 then the area = π × r² = (23/2)²×π = (132.25)×π
Abigail is using her mother's pancake recipe, but she wants to make 60% more pancakes than the recipe usually prepares. If her mother's recipe calls for 1/2 cup of flour, how much flour will Abigail need to use?
Answer:
1 and 1/4 cup of flour
Step-by-step explanation:
Abigail needs to use 3/4 cup more flour
what is 3√500 in simplify form
answers
5√4
4√5
25√5
100√5
Answer:
30[tex]\sqrt{5}[/tex]
Step-by-step explanation:
3[tex]\sqrt{500}[/tex] = 3[tex]\sqrt{100}[/tex] [tex]\sqrt{5}[/tex] = 3(10)[tex]\sqrt{5}[/tex]
Answer:
none of the above
30√5
Step-by-step explanation:
3 √500
3√25x4x5
3x5x2√5
30√5
Pls not links I am serious
5. Alexis has $95. She has 2 more five-dollar bills, 5 more one-dollar bills, and 2 more
ten-dollar bills than Kasai. How much money does Kasai have?
Answer:
60
Step-by-step explanation:
:)) tht should b right
You sell 500 shares of Coldwater Creek stock (CWTR). You purchased the stock at $2.98 per share and sold it at $0.88
per share. What was the percent decrease in the stock? Round to the nearest whole percent.
Answer:
70%
Step-by-step explanation:
Given that,
Cost price of the stock = $2.98 per share
Sold price of the stock = $0.88 per share
We need to find the percent decrease in the stock. It can be done as follows :
[tex]\%=\dfrac{2.98-0.88}{2.98}\times 100\\\\=70.46\%[/tex]
or
= 70%
So, the decrease in the stock is equal to 70 %.
find the unit rate of 12 dozen ears of corn that cost $36.00
Find the sector area.
Answer:
D
Step-by-step explanation:
A Store was trying to sell a bed set for $475. After a while, they marked the price tag down 35%. If tax is 5% (of the sale price), how much would the bed cost?
what is 32 + 7898 - 400 + 12 divided by 667
Answer:
(Short answer) 11.3073
(Long Answer) 11.3073463268
Step-by-step explanation:
32 + 7898 - 400 + 12 = 7542
7542 / 667 = (Short answer) 11.3073
(Long Answer) 11.3073463268
A new robotic toy was selling for $24 before it become very popular. The store raised the price by 25%. What was the cost of the toy after the markup?
Answer:
$30
Step-by-step explanation:
So we know that the toy cost 24 dollars. We also know that the cost is increased by 25%.
What is 25% of 100%? Thats 1/4. So, what is 1/4 of 24? That will be 6.
Since we are increasing the cost by 25%, we are increasing 24 dollars by 6. 24 plus 6 equals 30.
So the answer:
$30
Ti⊂k∫∈s ω∅∅p
Which series of transformations maps △ABC to △A′B′C′?
Two triangles with vertices A (1, 6), B (5, 0), C (5, 6), & A prime (8, negative 1), B prime (2, negative 5), C prime (8, negative 5).
© 2020 StrongMind. Created using GeoGebra.
Select all that apply.
a translation right 2 units and a rotation 270∘ counterclockwise about the origin
a rotation 90∘ clockwise about the origin and a translation right 2 units
a translation right 2 units and a rotation 90∘ clockwise about the origin
a rotation 270∘ counterclockwise about the origin and a translation right 2 units
C - When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative
Help please I will give Brainliest to whoever answeres.
Answer:
area = 220.5 ft²
Step-by-step explanation:
2(Length) + 2(10.5) = 63 feet
2L + 21 = 63
subtract 21 from each side of the equation:
2L = 42
divide both sides by 2:
L = 21 feet
area = L x W = 21 x 10.5 = 220.5 ft²
Answer:
A = 220.5 ft
Step-by-step explanation:
[tex]2(Length) + 2(10.5) = 63 feet\\[/tex]
[tex]2L + 21 = 63\\[/tex]
[tex]63 - 21[/tex]
[tex]2L = 42[/tex]
[tex]42/2[/tex]
L = 21 feet
[tex]A=l * w[/tex]
[tex]21 x 10.5 = 220.5 ft^{2}[/tex]
Hope this helps
What is the area, in square feet, of the deck?
Answer:
42 square feet.
Step-by-step explanation:
Help! find the area of the parallelogram
28.2
Step-by-step explanation
A=bh=6·4.7≈28.2
