Answer:
The sides of the equilateral triangle are 11.7 m.
Step-by-step explanation:
Let's find the area of the isosceles triangle:
[tex] A_{i} = \frac{bh}{2} [/tex]
Where:
b: is the base = 12 m
h: is the height
We can find the height by using Pitagoras:
[tex] x^{2} = \frac{b^{2}}{2} + h^{2} [/tex]
Where:
x is the hypotenuse = side of the triangle = 10 m
[tex] h = \sqrt{x^{2} - \frac{b^{2}}{2}} = \sqrt{(10)^{2} - 6^{2}} = 8 m [/tex]
Then, the area is:
[tex] A_{i} = \frac{12*8}{2} = 48 m^{2} [/tex]
Now, since the area of the isosceles triangle is equal to the area of the equilateral triangle:
[tex] A_{e} = A_{i} = 48 m^{2} [/tex]
[tex] A_{e} = \frac{bh}{2} [/tex]
The height of the equilateral triangle is given by:
[tex] b^{2} = \frac{b^{2}}{2} + h^{2} [/tex]
[tex] h = \sqrt{b^{2} - \frac{b^{2}}{2}} = \frac{b}{\sqrt{2}} [/tex]
Hence, the sides are:
[tex] A_{e} = \frac{1}{2}b\frac{b}{\sqrt{2}} = \frac{b^{2}}{2\sqrt{2}} [/tex]
[tex] b = \sqrt{A*2\sqrt{2}} = \sqrt{48*2\sqrt{2}} = 11.7 m [/tex]
Therefore, the sides of the equilateral triangle are 11.7 m.
I hope it helps you!
Answer:
The sides must be around 10.53 m
Step-by-step explanation:
You can calculate the area of isosceles dividing into 2 equal right triangles
Once you know that the area of the isosceles is 48 m²,solve for the side of the equilateral triangle
Formula for the Area: (A= area a = side)
A = (√3* a² ) / 4
48= (√3* a² ) / 4
Multiply both sides by 4
192 =√3* a²
Divide both sides by√3 ( √3 = 1.732050....)
110.851303 = a²
Square root on both sides
10 .5385...( 10.53 ) = a
Please answer quick! 15 points, ill give brainly
A ride in a cab costs 0.60 plus 0.14 per mile
The cab charges 0.88 for how many miles?
Answer: 1.57 miles
Step-by-step explananation
0.88 - 0.60 = 0.22
0.22/ 0.14= 1.57
Simplify. (Use the form a + bi.)
3 − 6i
−7i
Answer:
3 - 13i
Step-by-step explanation:
3 - 6i - 7i
3 - 13i
3³+3²=??? whats the answer
Answer:
27+9=36
Step-by-step explanation:
Hope this helps!
Help 10pts.
What is the surface area of the triangular prism?
A)
175 cm2
B)
196 cm2
216 cm?
D)
222 cm2
Answer:
D)222 cm²
Step-by-step explanation:
(4)(3)+15(4+5+5)=222cm²
hope it helps
have a great day :)
Complete the squares in order to write the equation of
the circle.
Then identify the coordinates of the center, and find the
radius.
x2 + y2 - 28% -10y + 220 = 0
Question Help Of 515515 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compared to standard gene fragments that can identify the species, 6262% were mislabeled. a) Construct a 9090% confidence interval for the proportion of all seafood sold in the country that is mislabeled or misidentified. b) Explain what your confidence interval says about seafood sold in the country. c) A government spokesperson claimed that the sample size was too small, relative to the billions of pieces of seafood sold each year, to generalize. Is this criticism valid?
Answer:
(0.5848 ; 0.6552)
We are confident that about 58% to 66% of sea foods in the country are Mislabelled.
No, criticism isnt valid and generalization can be made once the assumptions for constructing a confidence interval is met.
Step-by-step explanation:
Sample size, n = 51
p = 0.62
1 - p = 1 - 0.62 = 0.38
n = 515
Confidence level = 90% = Zcritical at 90% = 1.645
Confidence interval = (p ± margin of error)
Margin of Error = Zcritical * sqrt[(p(1-p))/n]
Margin of Error = 1.645 * sqrt[(0.62(0.38))/515]
Margin of Error = 1.645 * 0.0214
Margin of Error = 0.035203
Lower boundary = (0.62 - 0.035203) = 0.584797
Upper boundary = (0.62 + 0.035203) = 0.655203
(0.5848 ; 0.6552)
We are confident that about 58% to 66% of sea foods in the country are Mislabelled.
No, criticism isnt valid and generalization can be made once the assumptions for constructing a confidence interval is met.
9. What is the value of c?
A 80
B 50
C 100
D 84
Answer:
The correct option is (C). 84.
Step-by-step explanation:
At Wegmans a 12 pack of paper towels costs $15.72. At Tops a 10 pack of paper towels cost $13.35. Which store has the better buy? What is the difference in unit prices?
Answer:
Wegman's, roughly 3 cents
Step-by-step explanation:
Divide the price by the number of paper towels in the pack to get the unit price.
$15.72/12= $1.31
$13.35/10= $1.335, round since it's money, $1.34
$1.34-$1.31= $0.03 or 3 cents
Wegmans has the better buy, as their unit price is lower.
The difference in unit prices between the two stores is $0.03 per paper towel.
To determine which store has the better buy, we need to compare the unit prices of paper towels at both Wegmans and Tops.
The unit price is the cost per paper towel.
For Wegmans:
Cost of 12 pack of paper towels = $15.72
Number of paper towels in the pack = 12
Unit price at Wegmans = Total cost / Number of paper towels
Unit price at Wegmans = $15.72 / 12 = $1.31 per paper towel
For Tops:
Cost of 10 pack of paper towels = $13.35
Number of paper towels in the pack = 10
Unit price at Tops = Total cost / Number of paper towels
Unit price at Tops = $13.35 / 10 = $1.34 per paper towel
Now, we compare the unit prices:
At Wegmans, the unit price is $1.31 per paper towel.
At Tops, the unit price is $1.34 per paper towel.
The store with the lower unit price has the better buy.
In this case, Wegmans has the better buy, as their unit price is lower.
To find the difference in unit prices:
Difference in unit prices = Unit price at Tops - Unit price at Wegmans
Difference in unit prices = $1.34 - $1.31 = $0.03 per paper towel
So, the difference in unit prices between the two stores is $0.03 per paper towel.
To learn more on division click:
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ILL BRAINLIEST YOU IF YOU GET IT RIGHT
explanation please
Answer:
[tex]\boxed {\boxed {\sf D. \ x=20}}[/tex]
Step-by-step explanation:
If line m and line r are parallel, the two angles must be congruent, because they are alternate interior angles. Notice how the 2 lines and the transversal form a backwards "Z" and the angles are in the inner corners.
So, if the angles are congruent, we can set them equal to each other.
3x-357x-115[tex]7x-115=3x-35[/tex]
Now, solve for x by isolating the variable. First, move all the constants to one side and the terms with variables to another.
115 is being subtracted and the inverse of subtraction is addition. Add 115 to both sides.
[tex]7x-115+115=3x-35+115\\7x= 3x+(-35+115) \\7x=3x+80[/tex]
3x is being added and the inverse of addition is subtraction. Subtract 3x from both sides.
[tex]7x-3x=3x-3x+80 \\4x=80[/tex]
x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.
[tex]4x/4=80/4\\x=20[/tex]
If the lines are parallel, then x=20 so the angles are congruent.
Solve for the value of k. how? how can I solve it
Answer:
6
Step-by-step explanation:
The total of all the angles must be 180, since there is a straight line. We already know the 40 degree angle and the 90 degree angle, meaning that the remaining angle must be equal to 180 - 90 - 40, which is 50 degrees. Therefore, 50 = 7k + 8. 7k = 50-8 = 42, and k = 6.
Write an equation for each problem. Then solve.
Round to the nearest tenth if necessary.
What percent of 90 is 126?
Answer: 71.43 i think
Step-by-step explanation:
1. Hannah bought a package of 12 pens.
She took of the pens to school. How
many pens did Hannah take to school?
Answer:
12
Step-by-step explanation:
If Hannah bought 12 pens and brought them to school, then she would have brought 12 pens to use during school.
Can someone explain how to solve
———-
-2x+2y=2
-x-2y=1
————-
by elimination?
Answer:
when using elimination you "eliminate one variable by adding the equations", so basically in this equation 2y-2y cancel out when you add the equations together. so, you'll find x first. once you find the value of x, then you plug x into one of the equations to find the ordered pair solution, which happens to be (-1,0) in this solution.
Step-by-step explanation:
i hope this helps :)
Write an
equation in slope-intercept form of the line that
passes through the given points: (-2, 4) & (3,-1).
Step-by-step explanation:
So our m = (4+1)/(3+2) = 1
4 = -2 + b
b = 6
y = x + 6
Sophia's parents spent $100 for
new school clothes for the family.
Sophia's new outfit cost $35. Her
sister Emma's clothes cost $40. The
rest of the money was spent on their
brother Mason. How much money
did Mason's clothes cost?
Help me find X in triangle HJK
Answer:
x=15
Step-by-step explanation:
30°=5
60°=10
SO right angle 90°=15
plz help ill give 17 points thx
Answer:
1:6 = 7:42
Step-by-step explanation:
Studies show that the more hours that students watch tv, the more snacks they eat. Which scatter plot represents this relationship?
Answer:it’s c
Step-by-step explanation:
Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of 270° or due west, and Cyndi hikes at a heading of 30°. or
N 30°E. If they both hike 4 miles/hour, approximately how far apart are they after one hour?
N
Cyndi
?
4 miles
120
WE
>E
Miranda 4 miles
S
ОА
4.3 miles
OB. .
6.9 miles
OC. 8.0 miles
OD 5.7 miles
Answer:
6.9 Miles
Step-by-step explanation:
I took the test and got it right,
They are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of 270° or due west, and Cyndi hikes at a heading of 30°
From the isosceles triangle:
h = 4sin30
h = 4(1/2)
h = 2 miles
From Pythagoras theorem:
x² = 4² - h² = 4² - 2²
x = √12
x = 3.46 miles
Total distance = 2×3.46 = 6.9 miles
Thus, they are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.
Learn more about the triangle here:
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what is the area of the white boarder? 2cm 8cm 9cm 15cm
the length and width plss
Ruby has a points card for a movie theater.
• She receives 50 rewards points just for signing up.
She earns 14.5 points for each visit to the movie theater.
She needs 224 points for a free movie ticket.
.
How many visits must Ruby make to earn a free movie ticket?
Answer: 12 times
Step-by-step explanation:
Find the value of x.
Answer:
x = 2
Step-by-step explanation:
the radius is 5
both triangles are congruent because of the SAS theorem.
x = 2 because corresponding parts of congruent tringles are congruent.
Pls, help!! I will give Brainliest to the first answer that is correct!
Answer:
1. 1/3 pi r^2 h
2. pi r^2 h
3. 1/3 B h
4. lwh
5. Bh
Match the shape with the correct formula for finding the volume :-
SHAPES :-
ConeCylinder Triangular PrismRectangular Prism PyramidFORMULAE :-
[tex] \sf lwh[/tex] [tex] \sf Bh[/tex] [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] [tex] \sf \pi {r}^{2} h[/tex] [tex] \sf \frac{1}{3} Bh[/tex] ____________________Solution :-Given Information :- Shapes Formulae to calculate Volume To Do :-Match the shape with the correct formula for finding the volume. Calculation :-Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] Cylinder = [tex] \sf \pi {r}^{2} h[/tex] Triangular Prism = [tex] \sf Bh[/tex] Rectangular Prism = [tex] \sf lwh[/tex] Pyramid = [tex] \sf \frac{1}{3} Bh[/tex] ____________________Final Answers :- Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] Cylinder = [tex] \sf \pi {r}^{2} h[/tex] Triangular Prism = [tex] \sf Bh[/tex] Rectangular Prism = [tex] \sf lwh[/tex] Pyramid = [tex] \sf \frac{1}{3} Bh[/tex] ____________________Activity 2 Compute for the following: Speed; Distance, Time
1. A car travels 300 kom in 6 hours. What is the average speed of the car in km/h?
Given
Solution
Car travels in 300 kom ( distance) in
6 hours (time)
2. What is the speed of a jet plane that flies 8100 kon in 9 hours? (in km/h)
Given:
Solution
Jet travels 8100 km (distance)in
9 hours (time)
3. A storm is moving toward your house at a speed of 20 kmh.it is now 60 km away from your house. In what time will the storm reach your house?
Given:
Solution:
Storm moving at 20 km/h (speed) at
60 kun (distance)
Speed and direction
In describing the motion of an object, we do not just describe
Answer:
1. 50 km/h
2. 900 km/h
3. 3 hours
Step-by-step explanation:
1. The distance the car travels, Δd = 300 km
For how long it takes the car to travel the 300 km, Δt = 6 hours
Average speed, [tex]\overline v[/tex], is given as follows;
[tex]\overline v = \dfrac{The \ total \ distance }{The \ total \ time \ it \ takes } = \dfrac{\Delta d}{\Delta t}[/tex],
[tex]\therefore \overline v = \dfrac{300 \ km}{6 \ hours} = 50 \ \dfrac{km}{hour}[/tex]
The average speed of the car, [tex]\overline v[/tex] = 50 km/h
2. The distance the jet plane flies, d = 8,100 km
For how long it takes the the jet plane to fly the 8,100 km, t = 9 hours
The speed, v, of the jet plane is given as follows;
[tex]Speed, \ v = \dfrac{Distance}{Time} = \dfrac{d}{t}[/tex]
[tex]v = \dfrac{The\ distance \ the \ jet plane \ flies}{The \ time \ it \ takes \ to \ fly \ thart \ distance } = \dfrac{d}{t }[/tex],
[tex]\therefore v = \dfrac{8,100 \ km}{9 \ hours} = 900 \ \dfrac{km}{hour}[/tex]
The speed of the jet plane, v = 900 km/h
3. The speed of the storm, v = 20 km/h
The distance of the storm from the house, d = 60 km
The time 't' it takes the storm to reach the house is given as follows;
[tex]Speed, \ v = \dfrac{d}{t}[/tex]
Therefore, by cross multiplying and dividing by 'v', we get;
[tex]Time, \ t = \dfrac{d}{v}[/tex]
Plugging in the known values of 'd' and 'v' gives;
[tex]Time, \ t = \dfrac{60 \ km}{20 \ \dfrac{km}{hour} } = 3 \ km \times \dfrac{hour}{km} = 3 \ hours[/tex]
The time it takes the storm to reach the house, t = 3 hours.
help me with this problem please
Write the expression: twice a number increased by seven
Answer:
x2+7
Step-by-step explanation:
If 15% of a number is 30 and 40% of the same number is 80, find 25% of that number.
Answer:
50
Step-by-step explanation:
let the number be x
15% of x= 0.15x
0.15x=30
(divide both sides by 0.15)
x= 200
25% of 200 = 25/100 *200
= 50
Meagan has a bag with 8 red cubes, 3 yellow cubes, and 5 green cubes. What is the probability of
hat she will pick a red cube, keep it, and then pick another red cube?
A.8/17
B.7/30
C.7/32
D.8/18
Answer:
B. 7/30
Step-by-step explanation:
1st time to pick red is 8/16 8 red cubes out of 16 are red
2nd time to pick red is 7/15 7 red cubes out of 15 are red,
*if one red is picked already
8/16 x 7/15 = 7/30
(b) 3, 3, 5 and
HOMEWORK: Complete the activity in your classwork e
the questions before you consult the memorandum att
ACTIVITY 1:
x
.) Find all the prime factors of each of the following
a) 825
(b) 999
-) 538
(d) 113
Answer:
a 3,5,5,11
b 3,3,37,3
- 2,269
d 113, as it is a prime factor
Complete the diamond and submit your answer as a file upload.
9
-10
Answer:
-1?
Step-by-step explanation: