In an isosceles triangle the length of the legs is 8 cm and the angle between them is 150°. Find the altitude to the legs and the area of the triangle.
Find AH and Aᴬᴮᶜ
Answer:
AH = 4 units
Area of ΔABC = 16 square units
Step-by-step explanation:
Since ΔABC is an isosceles triangle,
AC = BC
∠CAB ≅ ∠ABC [Opposite angles of the equal sides in a triangle are equal]
In ΔABC,
m∠CAB + m∠ABC + m∠ACB = 180°
m∠ABC + m∠ABC + 150° = 180°
2m∠ABC = 30°
m∠ABC = 15°
Now we apply cosine rule in ΔABC,
AB² = AC² + BC² - 2(AB)(BC)cos(m∠ACB)
AB² = 8² + 8² - 2(8)(8)cos(150°)
AB² = 128 + 110.85
AB = [tex]\sqrt{238.85}[/tex]
AB = 15.45
In ΔABH,
sin(m∠ABH) = [tex]\frac{AH}{AB}[/tex]
sin(15°) = [tex]\frac{AH}{15.45}[/tex]
AH = 15.45sin(15°)
AH = 3.998
AH ≈ 4.0 units
HC = [tex]\sqrt{8^{2}-4^2}[/tex]
= [tex]\sqrt{48}[/tex]
= 6.93
Area of the triangle ABC = [tex]\frac{1}{2}(BC)(AH)[/tex]
= [tex]\frac{1}{2}(8)(4)[/tex]
= 16 square units
What is an equation of the line that passes through the points (-7,-7) and (-7,4) ?
(-7,-7) and (-7,4)
First we need to find the slope between these two points
(y2-y1) / (x2-x1) = -11 / 0 =
Therefore there is no slope.
So, the equation that is possible is:
x = -7
) How many miles can the SUV travel on
25 gallons of gas?
miles
Answer: 1,000
Step-by-step explanation: after you find the answer for 20/3 divided by 1/6 equals 40 so you multiply 40 x 25 to get 1,000
The SUV can travel 425 miles on 25 gallons of gas.
What is a proportion?A proportion is an equation that sets two ratios at the same value.
We can use a proportion to solve this problem. The miles per gallon (mpg) of the SUV can be calculated by dividing the distance traveled by the amount of gas used:
MPG = distance/gas
So for the first case, we have:
MPG = 340 miles / 20 gallons = 17 miles per gallon
To find out how far the SUV can travel on 25 gallons of gas, we can use the same mpg and solve for the distance:
Distance = mpg x gas
Distance = 17 miles per gallon x 25 gallons
Distance = 425 miles
Therefore, the SUV can travel 425 miles on 25 gallons of gas.
To learn more about the proportion:
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The complete question:
If an SUV travels 340 miles on 20 gallons of gas, how far can it travel on 25 gallons of gas?
4 * 80 * 0 * 0 * 0 * 0 * 0
Answer:
40800000000000
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
any # times 0 is 0
Value Grocery Mart and Market City are both having a sale on the same popular crackers. McKayla is trying to determine which sale is the better deal. Using the given table and equation, determine which store has the better deal on crackers? Explain your reasoning. (Remember to round your answers to the nearest penny.)
Value Grocery Mart:
Number of Boxes of Crackers
3
6
9
12
Cost (in dollars)
5
10
15
20
Answer: value grocery store
Step-by-step explanation: Because when you divide all the numbers by each other your gonna get 0.6 .
The same popular crackers are on sale at Value Grocery Mart and Market City for 5.25, 10.5, 15.75, and 21 cents.
What are the differences between chart and tabular forms?A chart is one that displays data using symbols such as bars in a bar chart, columns in a line chart, or slices in a pie chart. A chart can represent tabular numerical data, functions, or specific types of quality structures to convey a variety of information.Using a tabular form and a single page, users can change multiple rows and columns in a table at the same time.A chart displays data in the form of a table, graph, or diagram. It can convey vast amounts of information in a variety of ways.As the cost per pack is C=1.75b. C is the Cost in dollars.
3 × 1.75 = 5.25
6 × 1.75 = 10.5
9 × 1.75 = 15.75
12 × 1.75 = 21
Here, the table is given below
The complete question is:
Value Grocery Mart and Market City are both having a sale on the same popular crackers. McKayla is trying to determine which sale is the better deal: Using the given table and equation, determine which store has the better deal on crackers? Explain your reasoning. (Remember to round your answers to the nearest penny.) Value Grocery Mart: 12 6 3 20 15 Number of Boxes of Crackers 10 5 Cost (in dollars) Market City: c = 1.75b, where c represents the cost in dollars, and b represents the number of boxes of crackers
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I will give you branilest!
When you mix two colors of paint in equivalent ratios, the resulting color is always the same. Complete the table as you answer the questions.
cups of blue paint cups of yellow paint
2 10
1 5
3 15
.
4. What is the constant of proportionality in the table? (choose one)
a. 5
b. 8
c. 9
d. 1
Answer:
I believe it is 5 because when simplified they all simplify to 1/5
Which of the following is closest to the value of the expression 3 x (square root of 2)?
Select one:
01.4
03.8
04.2
04.4
Answer:
4.2
Step-by-step explanation:
3 x (sqrt 2)
3 x (1.41421356237)
4.24264068712
4.2
Which expression has the same sum as the one below?
- 15+6
0.15+6
0-6+(-15)
15+(-6)
6+(-15)
Answer:
6+(-15)
Step-by-step explanation:
=6+(-15)
=6-15
=-9
The solution of which inequality is shown by the number line?
-7 -6
-5
-4
-3
-2
The number 80 is decreased to 73. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
8.75 as 80-73 gives 7 and 7/80x 100= 8.73 by which is the percentage it is decreased.
The United
States Mint released five state quarters
every year. There are 50 states. How many
years did it take for all 50 state quarters to
be released? Write and solve an equation.
Answer:
I found a link where this question was asked before with some helpful answers, here you go hope this helps! :)
https://brainly.com/question/1757751
Troy is building a ramp for his toy cars. The plank he is using for the ramp us 5ft long and is placed in a 3ft high box how far from the box is the bottom edge of Troy’s ramp in feet?
Answer:
Step-by-step explanation:
35
what is the area of 5in and 1 1/3
what is 49400000000000 written in scientific notation
Answer:
4.94x10^13
Step-by-step explanation:
You have to move the decimal 13 times to the right and the number you get or it to be in scientific notation has to be in between 1 and something less than 10.
You probably don't need this answer anymore, sorry!
If the total income generated from gasoline for AER was 408 million how much would the cost forna barrel of gasoline
Answer:
kkkkk
Step-by-step explanation:
kkkkkk kkkkkk kkkWhy were the Punic War so important for the development of the Roman Empire?
Answer:
20
Step-by-step explanation:
If you have 60,000,000 barrels of crude oil and 34% of the barrels are gasoline then you have to set up the problem like this because you have to find out how much 34% of 60,000,000 is first in order to solve the problem.
is/of x 100/%
60,000,000 / a X 100 / 34
so..60,000,000 x 34 = 2,040,000,000
then divide that amount by 100= 2,040,000,000 / 100 = 20, 400,000
so the 34% actually is the total 20,400,000. Now, you divide the dollar amount 408,000,000 million barrels by the total amount of gasoline which is 20,400,000.
408,000,000 / 20,400,000 = 20
So each barrel of gasoline cost $20.
someone help PLS ASAP! in the figure above, l is a line. if y=96, what is the value of x?
a. 28
b. 30
c. 42
d. 84
Answer:
x=28
So a
Step-by-step explanation:
2x+96+x=180 add like terms (2x+x)
3x+96=180 subtract 96 from both sides (3x+96-96=180-96)
3x=84 divide both sides by 3 (3x/3=84/3)
x=28
Nancy is buying a new pair of boots. The store is having a sale and all boots are 20% off. Which expression represents the sale price of the boots where x is the original price of the boots?
Answer:
b=12.50p
Step-by-step explanation:
What is the solution to the equation 1/4x+2=-5/8x-5
multiply everything by 8
2x+16 = -5x-40
-16 on both sides
2x = -5x-56
+5x on both sides
7x = -56
x=-8
so the first option
Answer: x = -8
its just is lol
The tables represent two linear functions in a system.
What is the solution to this system?
у
0 (43, -25)
0 - 14.-54]
O (-13, -50)
O (-14, -54)
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From left to right for the tables :
[tex]1) \: \: \: \: y = 4x + 2[/tex]
And
[tex]2) \: \: \: \: y = 3x - 12[/tex]
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To find the solution we need to take equal above equations .
[tex]4x + 2 = 3x - 12[/tex]
Subtract sides 3x
[tex] - 3x + 4x + 2 = - 3x + 3x - 12 \\ [/tex]
[tex]x + 2 = - 12[/tex]
Subtract sides 2
[tex]x + 2 - 2 = - 12 - 2[/tex]
[tex]x = - 14[/tex]
Thus the x-coordinate of the solution must be -14 which is just in the last option.
Thus the correct answer is the last one.
Done...
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−4x−y=24
whats the points
Find the value of x for which m\\n
In first situation= =given angle + x=sum of angle of triangle. =110°+x=180°=70° X=70° Similarly, 2. condition can be solved i.e-x=144° There you go! Have a awesome day.
How do you calculate the percentage of a number? ex. 70% of 70
Answer:
Find P percent of X
Find what percent of X is Y
Find X if P percent of it is Y
Step-by-step explanation:
Example: What is 10% of 150?
Convert the problem to an equation using the percentage formula: P% * X = Y
P is 10%, X is 150, so the equation is 10% * 150 = Y
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10
Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y
Do the math: 0.10 * 150 = 15
Y = 15
So 10% of 150 is 15
Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15
2
How many significant figures are in the number 0.00282
Step-by-step explanation:
has 3 (sig figs) and 5 decimals. see the additional (+) and subtraction (-) round by the last number of decimals or use scientific no ( e.g. 1.000 x 10^3 or 1.000e3)
10 pol
Mariska draws a red card and then a black card. The sum is positive. The
number on the black card must be greater than the number on the red
card. *
True
False
False, The sum is positive, no subtraction is being done and no negatives are present.
A positive plus a positive is another positive.
Four times a number, added to 8, is 32
Answer: 6
Step 1: Subtract 8.
32 - 8 = 24
Step 2: Divide by 4, since the question is asking for 4 times the number.
24 ÷ 4 = 6
Answer = 6
Both the numerator and denominator of 18/21 can be divided by ___.
1. 4
2. 6
3. 3
4. 2
3. 3 hope this will help you
On three consecutive passes, a football team gains yards,9 loses 18 yards, and gains 41 yards. What number represents the total net yardage?
Answer:
Gain:
32 yards
Step-by-step explanation:
+ 9 - 18 + 41
= 41 + 9 - 18
= 50 - 18
= 32
whats 6 x 3 + 36 help meeeeeeeeeeeeeeeeeeeeeee
Answer:
54
Step-by-step explanation:
Kristen is going to hire a makeup artist
(Look at the photo please will name Brainlyest)
Suppose you are working with a data set that is normally distributed, with a mean of 150 and a standard deviation of 48. Determine the value of x from the following information. (Round your answers and z values to 2 decimal places, e.g. 1.25.) (a) 60% of the values are greater than x.
Answer:
Step-by-step explanation:
Find the z-value with a left tail of 0.40
invNorm (0.40) = -0.2533
----
Find the corresponding x-value using x = z*s + u
x = -0.2533*20 + 400 = 394.93