Answer:
The store paid $28.00
Step-by-step explanation:
28 times .25(25%) is 7 and 28+7=35
drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge when flat. Find the height of the suspension point of the chain, to the nearest tenth of a meter, and the measures of the acute angles the chain makes with the wall and the drawbridge, to the nearest degree.
Answer:
4.0 meters, ∠C = 39°, ∠A = 51°
Step-by-step explanation:
Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the Pythagorean Theorem to solve for the height of the chain:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex](3.3)^{2} +b^{2} =(5.2)^{2}[/tex]
[tex]b^{2} =(5.2)^{2}-(3.3)^{2}[/tex]
[tex]b =\sqrt{(5.2)^{2}-(3.3)^{2}}[/tex]
[tex]b=4.0187...[/tex]
[tex]b=4.0 m[/tex]
Now, we can use the Law of Cosines to figure out one of the acute angles:
[tex]c^{2} =a^{2} +b^{2} -2ab(cos(C))[/tex]
[tex](3.3)^{2} =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))[/tex]
[tex]cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}[/tex]
[tex]C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})[/tex]
[tex]C=39.3915...[/tex]
∠C = 39°
And since we know that all angles in a triangle add up to 180°:
∠A + ∠B + ∠C = 180
∠A + 90 + 39 = 180
∠A = 180 - 90 - 39
∠A = 51°
However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!
image
Are the two triangles similar? If so, state the reason and the similarity statement.
Question 1 options:
A)
Yes; AA; ΔIGF ∼ ΔMNL
B)
Yes; SAS; ΔIGF ∼ ΔMNL
C)
Impossible to determine.
D)
The triangles are not similar.
Answer:
Yes; SSS;Triangle AYM Triangle EDC The answer will be D is the correct answer choice.
Step-by-step explanation:
Help me please please
Answer:
a. 45 + 20x
30 + 26x
b. 2.5 hours
c. 95
Step-by-step explanation:
45 + 20x = 30 + 26x
subtract 30 from both sides of the equation
15 + 20x = 26x
subtract 20x from both sides of the equation
15 = 6x
divide 6x on both sides of the equation
2.5 = x
Find the area of the figure.
(Sides meet at right angles.)
3 ft
2 ft
2 ft
1 ft
5 ft
2 ft
2 ft
3 ft
What's the area and the perimeter of rectangle ABDC shown in the coordinate plane?
Question 2 options:
A)
Area = 32 square units; perimeter = 24 units
B)
Area = 24 units; perimeter = 32 square units
C)
Area = 24 square units; perimeter = 32 units
D)
Area = 32 units; perimeter = 24 square units
I need help with this question I'm in 9th grade
Answer:
Check pdf
Step-by-step explanation:
What is the range of the function y= 5-2x when the domain is {0,1,2,3}
Answer:
The range for the function y=5-2x is all real numbers, but the numbers corresponding the the domain values of 0, 1, 2, and 3, are 5, 3, 1, -1.
Step-by-step explanation:
Re-write the statement 19+7÷2-5 by including ONE pair of brackets to make the total value equal to 8
Answer:
(19+7)÷2-5
Step-by-step explanation:
you need to add 19 and 7 together first to get 8 then go in order of operations
Ben bought a new computer for $1200. Each yedt, the value of the computer decreases
by 30% of the previous year's value. At this rate, what can Ben expect the approximate
value of the computer to be after 6 years?
$130
$360
$0.88
$141
Answer:
$141
Step-by-step explanation:
1200-(1200*30/100 )
and i did that six time each tume with the new numbers i got
Help meeeeeeeewee plsssssss
Answer:
D
Step-by-step explanation:
multiplying the day with 54 gives you its amount earned
what is the solution to m/8 < 4
Answer:
m < 32
Step-by-step explanation:
m/8 < 4
m < 32
Answer:
m<32
Step-by-step explanation:
multiply both sides of the inequality by 8
[tex]8 \times \frac{m}{8} < 8 \times 4[/tex]
then, reduce the numbers with the GCF= 8
[tex]m < 8 \times 4[/tex]
Heather drew the scaled drawing of a train car shown below. She used the scale of 2 cm = 5 ft to complete the
drawing.
Train Car
10.8 cm
What is the actual length of the train car?
A.21.6 ft
B.27 ft
C.43.2 ft
D54 ft
Answer: c
Step-by-step explanation:
The required actual length of the train is given as 27 ft.
Given that,
Heather drew the scaled drawing of a train car shown below. She used the scale of 2 cm = 5 ft to complete the drawing.
The scale factor is defined as the ratio of the modified change in length to the original length.
here,
As given,
2 cm = 5 ft
1 cm = 5/2 ft
Tain car length = 10.8 m
Actual length = 10.8 × 5/2 = 27 ft
Thus, the required actual length of the train is given as 27 ft.
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A recipe calls for 3/4 cup of brown sugar for every 3 eggs. What is the unit rate of eggs per cup?
Answer:
4 eggs per cup
Step-by-step explanation:
Help Please !!
A baby bird can eat 14 feet of earthworm every day. At this rate, how many days would it take six baby birds to eat 840 feet of worms?
Answer:
10
Step-by-step explanation:
Answer:
10 days
Step-by-step explanation:
840 feet of worms divided by 6 birds = 140
If a baby bird can eat 14 feet of earthworms every day, then:
140 divided by 14 = 10
It would take 10 days for 6 birds to eat 840 feet of worms
GIVING BRAINLIEST, FIVE STARS AND THANKS!! PLS AND TY!!
1. Is the product of 12 and 3/4 more or less than 12? Explain your answer in complete sentences.
2. Is the quotient of 5 and 1/2 greater than or less than 5? Explain your answer in complete sentences.
Answer:
1.) The product of 12 and 3/4 is less than 12. This is because you are multiplying 12 by a number less than 1.
2.) The product of 5 and 1/2 is less than 5, this is because you are multiplying 5 by a number less than one.
Step-by-step explanation:
If multiplied by a number less than one then it will be smaller than original
If multiplied by one will be the same as original
If multiplied by a number greater than one it will be greater than original
To get from your house to school, you walk 2 blocks east and 1 block
south. What ordered pair corresponds to the location of your school?
what is 4.2 less than 7.6
Answer: 3.4
Step-by-step explanation: 6-2 is 4 and 7-4=3 therefore it’s 3.4
The solution is 3.4
The value of the equation 4.2 less than 7.6 is 3.4
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is expressed as
A = 4.2 less than 7.6
Substituting the values in the equation , we get
A = 7.6 - 4.2 be equation (1)
On simplifying the equation , we get
The value of A = 7.6 - 4.2
The value of A = 3.4
Therefore , the value of A is 3.4
Hence , The value of the equation 4.2 less than 7.6 is 3.4
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A map has a scale 1/2 in.= 60 mi. If two cities are 2 inches apart on the map, hoy many miles separate de cities?
Answer:
240 miles
Step-by-step explanation:
1/2 + 1/2 + 1/2 + 1/2 = 2
60 + 60 + 60 + 60 or 60 * 4 = 240
PLEASR HELP THIS IS THE LAST QUESTION AND ITS DUR IN 4 MINUTES
Answer:
3x(3x-5)
Step-by-step explanation:
I can do this in my head but I hope it is right but if not I'm sorry
Answer:
- 3x ( x² - 4x + 5 )
Step-by-step explanation:
- 3x ( x² - 4x + 5 )
PLEASE HELP PLEASEEEEEEEEEEEEEE
Answer
sorry it’s no the 9 shirts is wrong
Step-by-step explanation:
Answer:
No the cost of the 9 shirts is incorrect
wich set of numbers is areanged in decreasing order? I need help thanks
Answer:
Send a pic of the problem.
Step-by-step explanation:
The value of a movie poster is increasing at a rate of 3.5% per
year. In 1990, the poster was worth $20.25. Find the value of the
poster in 2013.
Answer:
44.55
Step-by-step explanation:
I actually didn't get the right answer and I just edited it right now I'm sorry I dont have an explanation!
What is the simplest form of the radical expression?
√2+√5/√2-√5
here u go...........
On Old McDonald's Farm, there are 16 cows and 4 sheep in the first field. If this ratio is proportional, and there are 48 total sheep on the farm, how many cows does Old McDonald have? *
Answer:
192 cows
Step-by-step explanation:
16 cows : 4 sheep
? cows : 48 sheep
48 / 4 = 12
16 x 12 = 192
Answer:
192 Cows
Step-by-step explanation:
if the ratio is 1 sheep: 4 cows then by multiplying 48 by 4 you get a total of 192 cows
A recipe for cookies calls for
cups of chocolate chips for every 3 dozen cookies made. How many cups of chocolate chips would be needed for 7 dozen cookies?
A.
B.
C.
D.
For 7 dozens cookies 3 1/2 cups needed.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
For 3 dozen cookies = 1 1/2 cups = 3/2 cups
For 1 dozen cookies = 3/2 * 1/3 = 1/2 cups needed
So, for 7 dozen cookies = 1/2 * 7
= 3 1/2 cups needed
Hence, for 7 dozens cookies 3 1/2 cups needed.
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The proper angle for a ladder is about 75 from the ground. Suppose you have a 6 foot ladder. How high
can it reach?
ht
Answer:
450
Step-by-step explanation:
75 x 6 is 450 so the answer is 450
Suppose that an individual has a body fat percentage of 18.9% and weighs 141 pounds. How many pounds of her weight is made up of fat? Round your answer to the nearest tenth.
Please respond within the hour
Thanks
here is the proportion I used to get the answer. hopefully this helps
Solve for 3x^2-10x+8=0
(SHOW YOUR WORK)QUICKLY
Answer:
Step-by-step explanation:
Step 1: Factor left side of equation.
(3x−4)(x−2)=0
Step 2: Set factors equal to 0.
3x−4=0 or x−2=0
Answer:
x= 4 /3 or x=2
Answer:
5/3 +/- 1/3
or
x= 2
or
x= 1 /3
Step-by-step explanation:
plug all of the numbers into the formula attached,
the first coefficient is a, the second is b, and the last is c
So a=3 b=-10 and c=8
toy store is having a sale on puzzles. For each puzzle Naomi buys
she gets 75% off a second puzzle. The original price of a puzzle is $16.60.
How much would 4 puzzles cost? *
Answer:
4 puzzles would cost $41.50
Answer:
$41.50
Step-by-step explanation:
Add the currency of your sum then subtract but double the 75%
i hope this helped :)
Will give brainliest