Answers
Answer:
14.4
Step-by-step explanation:
We can use the pythagorean theorem (a^2 + b^2 = c^2, c being the longest length) to solve this answer.
16^2 - 7^2 = a
256 - 49 = 207.
the square root of 207 is 14.3874...
Rounding to the nearest tenth makes the answer 14.4
Related Questions
What is the height (one of the legs) and the hypotenuse of an isosceles right triangle that has an area of 800 square feet?
Answers
Answer:
14
√
2
=
7
√
2
Step-by-step explanation:
An isosceles right triangle is a right triangle with two legs equal in length and has angles of
45
∘
−
45
∘
−
90
∘
.
By Pythagorean Theorem, we know that,
hypotenuse
c
2
=
a
2
+
a
2
,
⇒
c
=
a
√
2
where
c
is the hypotenuse and
a
is the leg.
So for an isosceles right triangle with side length
a
, the hypotenuse has a length of
a
√
2
.
Similarly, if the hypotenuse of an isosceles right triangle has length of
a
, the legs have a length of
a
√
2
or
a
√
2
2
each.
Given that the hypotenuse of the isosceles right triangle
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)
The height (one of the legs) and the hypotenuse of an isosceles right triangle are 40 feet and 40√2 feet, respectively.
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
The triangle is an isosceles right triangle.
That means, the triangle has two equal sides.
Let, base b = height h.
The area of the triangle = 1/2 x base x height.
800 = (1/2)b²
b² = 1600
b = 40 feet.
Now, using the Pythagoras theorem,
Hypotenuse = √(1600 + 1600)
Hypotenuse = √(3200)
Hypotenuse = 40√2 feet.
Therefore, height = 40 feet and hypotenuse = 40√2 feet.
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3/5 of the students in a classroom are girls if there are 10 boys in the class about how many total students are there
Answers
Answer:
25
Step-by-step explanation:
25 students total.
3/5 = 15 (Girls)
2/5 = 10 (Boys)
Answer:
25 students in total..........
Oliver thinks of a number.
He multiplies this number by 4.
He then subtracts 5.
The result is 23.
What number did Oliver think of?
Answers
Answer:
7
Step-by-step explanation:
Add 5 to 23 which gives you 28
Then divide 28 by 4 and you get 7
Hope this helps!
The radius of a circle is 3.5 m. Find the circumference to the nearest tenth.
Answers
Answer:
21.99 but you have to round it
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
yes
James wants to buy a house.
The price of the house is a quarter of a million pounds.
James has to pay a deposit for the house.
The deposit is 15% of the price of the house.
James already has part of the deposit.
He has £32 000
(a) How much more money does James need for the deposit?
Answers
Answer:
27,200
Step-by-step explanation:
15% of 32,000 pounds is 4,800. Just subtracting them will end you with 27,200.
Will be the answer for this question
Louis invested £2950 in a savings account for 5 years.
He was paid 1.9% per annum compound interest for each of the first 4 years.
He was then paid R% interest for the fifth year.
Louis had £3257 in his savings account at the end of the 5 years.
Work out the value of R.
Give your answer correct to 1 decimal place.
Answers
Answer:
2.4%
Step-by-step explanation:
The value of R is, 2.4%
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Louis invested £2950 in a savings account for 5 years.
He was paid 1.9% per annum compound interest for each of the first 4 years.
And, He was then paid R% interest for the fifth year.
Louis had £3257 in his savings account at the end of the 5 years.
Here, We know that;
⇒ Compound interest formula = Capital × (1 + r%) ⁿ
Where, n is time in years.
So, We can formulate;
⇒ £2950 × (1 + 0.019)⁴
⇒ £3180.67
And, For calculate R;
⇒ £3180.67 × (1 + R%)⁵ = £3257
⇒ R = 2.4%
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Write an equation for the line shown in the graph.
A. 10=4x
B. y=2x+10
C. y=10x-2
D. y= -x+10
Answers
Answer:
D
Step-by-step explanation:
The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
From the equation, the y-intercept is 10. Then the equation is given as,
y = mx + 10
From the graph, the line is passing through (2, 8). Then the slope is given as,
8 = m(2) + 10
8 = 2m + 10
- 2 = 2m
m = - 1
The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.
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Find u in the diagram and write the answer as whole number or a decimal . Do not round.
Answers
Which expressions are equivalent to this exponential expression?
Answers
when it looks like this:
5^3 x 5^2 you add the exponents
so my example would equal 5^5
also remember that you can’t have negative exponents
To solve your problem:
1. multiply the exponents here: (5^2)^-3
2. add the exponents in the next step when you multiply by the 5^4
3. now, you should get a negative exponent on the top, and you already have one on the bottom. to get rid of these negative exponents, move the one in the denominator to the numerator and vice versa
so when you move the 5^-4 in the denominator to the numerator, it becomes 5^4
4. now, you simplify. you can either subtract the exponents and do it that way, or you can solve the exponents and then divide. either way will work, although the first is easier
Select all the expressions that are equivalent to 24x + 12.
2(12x + 6)
–6(–4x – 2)
–3(8x – 4)
12(1 + 2x)
–4(–6 – 3x)
Answers
Answer:
2(12x + 6)
-6(-4x - 2)
12(1 + 2x)
The expressions that are equivalent to 24x + 12 are:
2(12x + 6)
-6(-4x - 2)
12(1 + 2x)
Let's go through each expression and simplify them to determine if they are equivalent to 24x + 12.
2(12x + 6):
We can use the distributive property to simplify this expression:
2 * 12x + 2 * 6 = 24x + 12
This expression is equivalent to 24x + 12.
–6(–4x – 2):
Again, using the distributive property, we simplify:
–6 * –4x + –6 * –2 = 24x + 12
This expression is equivalent to 24x + 12.
–3(8x – 4):
Once again, applying the distributive property:
–3 * 8x + –3 * –4 = –24x + 12
This expression is not equivalent to 24x + 12.
12(1 + 2x):
Using the distributive property:
12 * 1 + 12 * 2x = 12 + 24x = 24x + 12
This expression is equivalent to 24x + 12.
–4(–6 – 3x):
Applying the distributive property:
–4 * –6 + –4 * –3x = 24 + 12x = 12x + 24
This expression is not equivalent to 24x + 12.
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There were 220 people who voted at the 6th grade meeting. Sixty percent of the voters are in favor of changing the school mascot. How many people are against changing the mascot? Use numbers and words to explain your answer.
Answers
Step-by-step explanation:
First I had to find 60% of 220.
220 × .60 = 132.
132 people are in favor so I have to subtract that number from 220 to find how many people were against.
220-132 = 88
88 people were against changing the mascot.
Lionel has at most 63/8 cups of flour to bake cookies and a cake. Lionel uses 7/4 cups of flour to make the cake. If each batch of cookies takes 3/2 cups of flour, how many batches of cookies, x, can Lionel bake? Select the inequality that includes the maximum number of batches of cookies Lionel can bake.
A. x⊇49/8
B. 49/8⊆x
C. 49/12⊆x
D. x⊇49/12
Answers
Answer:
x ≤ 49 / 12
Step-by-step explanation:
Total cups of flour = 63 /8
Cake = 7/4 cups
Cookies = 3/2 cups per batch
Flour left after baking cake :
63/8 - 7/4
(63 - 14) / 8
49 / 8
Batch of cookies which can be baked, x
Flour left / cups of flour per batch of cookies
x ≤(49 / 8) ÷ (3 / 2)
x ≤ (49 /8) * 2/3
x ≤ 98 / 24
x ≤ 49 / 12
A shop sells packs of black pens, packs of red pens and packs of green pens.
There are
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday, the ratio of number of packs of pens sold was Black : Red : Green = 7 : 3 : 4
A total of 212 pens were sold.
Work out the number of green pens sold.
Answers
Answer:
The number of green pens sold are 96 green pens
Step-by-step explanation:
The given parameters for the packs of pens sold by the shop are;
The number of pens in each pack of black pens = 2 pens
The number of pens in each pack of red pens = 5 pens
The number of pens in each pack of green pens = 6 pens
The ratio of number of packs of pens sold Black : Red : Green = 7 : 3 : 4
The total number of pens sold = 212
Let 'x' represent the number of packs of pens sold
Therefore, the fraction of the packs the pens sold that are black pens = 7/(7 + 3 + 4) = 7/14 = 1/2
∴ 1/2 of the number of packs of pen sold = packs black pens = x/2
The fraction of the packs the pens sold that are red pens = 3/14
∴ 3/14 of the number of packs of pen sold = packs of red pens = 3·x/14
Similarly, we have;
The fraction of the packs the pens sold that are green pens = 4/14 = 2/7
∴ 2/7 of the number of packs of pen sold = packs of green pens = 2·x/7
Therefore, we have;
x/2 × 2 + 3·x/14 × 5 + 2·x/7 × 6 = 212
Where;
x/2 × 2 = The number of black pens sold
3·x/14 × 5 = The number of red pens sold
2·x/7 × 6 = The number of green pens sold
∴ 53·x/14 = 212
x = 212 × 14/53 = 56
∴ The number of packs of pens sold = x = 56 packs
The number of green pens sold = 2·x/7 × 6 = 2 × 56/7 × 6 = 96
The number of green pens sold = 96 pens.
3 1/3 x 3 =??
Not quite understanding
Answers
Answer:
10
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
3 1/3 * 3 = 10
PLEASE HELP!!!
The expression 4(1.20)t represents the population of rabbits each year. If x% represents the growth rate for the population of the rabbits each year, what is the value of x?
Answers
The growth rate for the population of the rabbits each year is 20%
What is an exponential equation?An exponential equation is an expression that shows how numbers and variables using mathematical operators.
Exponential exponential is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Given the expression [tex]4(1.20)^t[/tex] represents the population of rabbits each year. If x% represents the growth rate, hence:
b = 1.20
growth rate = 1.20 - 1 = 0.20
growth rate = 20%
The growth rate is 20%
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Hi can someone help me on this please? I am having trouble understanding this one :) thx
Answers
Answer:
I would say its the bottom one
Step-by-step explanation:
The top one goes to five while the bottom only goes to four, plus you cant have a negative amount of people you can only have from 0 to infinity amount of people.
Answer:
It's the second line
Because people can only be counted from zero.
2. A plastic smartphone case is roughly rectangular and measures 6 in. by 3 in. The back side of
the case has two sections cut out: a l in. by 0.5 in. rectangle for the camera and a triangle that
is 1.5 in. wide and 1.5 in. tall so that the brand logo on the phone is visible when it is in the
case. What is the approximate area of the plastic on the phone?
15.25 in.2
0 16.375 in.2
019.625 in 2
20.75 in 2
Answers
Answer:
ITs 16.375 in.2
Step-by-step explanation:
If your in connections and you have Lesson 4: Area of Other Figures
Math 7 B Unit 3: Measurement the whole quick check answers are
1. D. 40.5cm2
2. B. 16.375 in.2
3. B 540cm2
4. C 460
Your welcome also I swear these are right!
Solve for x.
-3(4x-16)=-12
I need an answer and explanation so I can try to do some myself thanks!:)
Answers
Answer:
B. -5
Step-by-step explanation:
this is quite simple, so what you are going to want to do is multiply -3 by 4, and -16, so distribute that and you'll end up with
-12x+48= -12
then you want to subtract 48 from both side to leave the x on one side alone
that will be -12x= -60
after that you have to divide both sides by -12 to find your x
so then you will see that your x is = -5! hope this helps!!
What is the value of the expression 42x3 - (2^4 - 1)/5
Answers
Answer:
The answer is 123.
Step-by-step explanation:
18 is 40% of ___
23% of 20 is ____
20 is ___ % of 82
pls help
Answers
Answer:
18 is 40% of 45
23% of 20 is 4.6
24.390243902439025
Step-by-step explanation:
Yasmine is having a birthday party. Five people are sharing 34's of a pizza. What portion of the whole pizza will each person receive?
Answers
Answer:
3/20
Step-by-step explanation:
Given that :
Share for 5 persons = 3/4 of a whole pizza
Each person gets an equal size of the share :
Hence, share per person :
Portion of pizza / number of persons
3/4 ÷ 5
3/4 * 1/5
= (3*1) / (4*5)
= 3/20
16 cm 44.2 cm in percent
PLSS HELP!!
Answers
PLLZZZ HELPP I HAVE EXAMM
PLZZZZZZZZZZZ
Answers
At Burger Haven, 11 of the last 44 customers wanted cheese on their burgers. Considering this data, how many of the next 256 customers would you expect to want cheese?
Answers
Answer:
64
Step-by-step explanation:
11 out of 44 = 25%
11 ÷ 44 = 0.25 = 25%
25% × 256 = 64
i need help with the last questions I posted
Answers
Rebeckah answered 42 of 60 questions on the test. Which method should she use to find the percent of questions answered correctly
Answers
I need help on my warm up!! pls thx!
Answers
Step-by-step explanation:
[tex] \tt{30.16 = 17.56 + 5x} [/tex]
Swap the sides of the equation :
⤑ [tex] \tt{17.56 + 5x = 30.16}[/tex]
We want to remove the 17.56 first.
Since the original equation is 17.56 , we are going to use the opposite operation and subtract 17.56 from both sides :
⤑ [tex] \tt{5x + 17.56 - 17.56 = 30.16 - 17.56}[/tex]
Simplify. 17.56 - 17.56 = 0 on the left. 30.16 - 17.36 = 12.6 on the right.
⤑ [tex] \tt{5x = 12.6}[/tex]
Then, we need to think about how to remove the coefficient 5. Since the opposite of multiplication is division , I am going to divide both sides by 5.
⤑ [tex] \tt{ \frac{5x}{5} = \frac{12.6}{5}} [/tex]
Simplify. 5/5 = 1 on the left and 12.6/5 = 2.52 on the right. So, Our answer is x = 2.52.
[tex] \pink{ \boxed{ \boxed { \tt{Our \: final \: answer : \underline{ \underline{ \bold{ \tt{x = 2.52}}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Map Proportionality: You have a map where Indy and Fort Wayne are 19 centimeter apart. Kokomo and Indy are 9.5 cm apart on the map. If you know that Indy and Fort Wayne are actually 120 miles apart, how far apart would Indy and Kokomo be in real life? Express your answer rounded to the nearest tenth of
Answers
Answer: 60 miles
Step-by-step explanation:
On a map, Indy and Fort Wayne are 19 centimeter apart while Kokomo and Indy are 9.5 cm apart on the map.
In real life, Indy and Fort Wayne are actually 120 miles apart, the distance between Indy and Kokomo in real life would then be:
= 9.5 × 120/19
= 120/2
= 60 miles
Indy and Kokomo are 60 miles apart in real life.
Which student is correct and why arethey correct?
Answers
Answer:
still no work shown man
Step-by-step explanation:
i cant help you if you do not give us any images or type the problem in
Help ASAP I will give you 15 points and help with any of your questions
Answers
Answer:
1/2
Step-by-step explanation:
the distance from 6 to 18 is 12 and and 12 is halfway in between 6 and 18 so its 1/2
sorry if im wrong have a blessed day:)