Answer:
x=63.25
Step-by-step explanation:
Hi there!
We're given ΔDEF with m<E=90°, m<D=49°, DE=55, and EF=x
we need to find the value of x
Let's use trigonometry to do it
Since we are given the measures of the 2 legs (the sides that make up the 90° angle), let's use tangent, specifically tan(49), since we are given the measure of that angle
Recall that tangent is [tex]\frac{opposite}{adjacent}[/tex]
in reference to m<D (the angle that is 49°), the opposite side is EF (x) and the adjacent side is DE (55)
so tan(49)=[tex]\frac{x}{55}[/tex]
plug tan(49) into your calculator; remember to have the calculator on degree mode
tan(49)≈1.15 (rounded to the nearest hundredth)
so that means:
1.15=[tex]\frac{x}{55}[/tex]
multiply both sides by 55 to clear the fraction
63.25=x
Hope this helps!
Bailey draws a map of the zoo on a coordinate grid. The reptile house is located at (2 ,5), and the gorilla exhibit is located at (8, 3). Which point is the correct location of the reptile house?
Answer:
B. Point E
Step-by-step explanation:
Your point is (2,5) for the reptile house ((8,3) is extra unnecessary information) to find the house you go to the right 2 units and then 5 units up. The only one that matches is point E so therefore it's your answer.
Eliza says, “Every member of the population is equally likely to be selected for the sample”. Which type of sample is Eliza describing?
a
a random sample
b
a biased sample
c
a stratified sample
d
a quota sample
Answer: A. A random sample
Step-by-step explanation:
Since everyone is equally as likely yo be selected for this sample, is has to be random because there won't be any interference to the probability of your chances of being selected in the population
I hope this helps!
A candy store held a contest to guess the total number of jelly beans in a jar. All of the jelly beans in the jar were either green or orange. There were 1,872 jelly beans in the jar in total. There were 12 times as many green jelly beans as orange jelly beans. How many green jelly beans were in the jar?
Answer:
Step-by-step explanation:
Let the number of orange jelly beans be x , as we do not know the exact value of it yet. There are 12 times as many green jelly beans than the orange ones. So , if the number of orange jelly beans is x , the number of green jelly beans will be = 12 times x , which can be written as 12x. Now there are a total of 1872 jelly beans , but they are either orange or green , so we already know that the number of orange jbs is x , and the number of green jelly beans is 12x. So if we the green jelly beans and orange jelly beans , it should be 1872.
Now all we need to do is to find x.
We know that ,
x + 12x = 1872
Now we add x and 12x on the left hand side
13x = 1872
Now we divide both sides by 13 to get x. (That includes 1872 as well)
x = 144
Now we have the value of x which is 144
We know that the number of green jelly beans was 12 times x
So the number of green jelly beans in numeric value is : 12 * 144
As x is equal to 144
Ans . : The number of green jelly beans is 1728.
The number of green jelly beans is 1728.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Let the number of orange jelly beans = x ,
So, the number of green jelly beans will be = 12 times x ,
which can be written as, 12x.
Now, there are a total of 1872 jelly beans , but they are either orange or green , so we already know that the number of orange is x , and the number of green jelly beans is 12x.
So if we the green jelly beans and orange jelly beans , it should be 1872.
Now, We get;
x + 12x = 1872
13x = 1872
Divide both sides by 13,
x = 144
So, the number of green jelly beans in numeric value is :
⇒ 12 × 144
⇒ 1728
Thus, The number of green jelly beans is 1728.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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By writing each number correct to 1 significant figure, estimate the value of
37.8 x 13.2
28,5 + 22.1
You must show all your working.
Answer:
37.8 x 13.2 =4988.6
28,5 + 22.1 = 50.6
The area A of a circle is given by the formula: A = pie r ² If the radius of the circle is 7 inches, find the area of the circle
Answer:
49 pi in^2 or approximately 153.86 in^2
Step-by-step explanation:
A = pi r ²
Let r = 7
A = pi 7 ²
A = 49 pi
If we approximate pi by 3.14
A is approximately 153.86 in^2
simplify:- the following fraction
Whole part = 2
Fractional part = 59/396
======================================================
Work Shown:
3 & 3/5 = 3 + 3/5
3 & 3/5 = 15/5 + 3/5
3 & 3/5 = 18/5
--------------------
4 & 8/9 = 4 + 8/9
4 & 8/9 = 36/9 + 8/9
4 & 8/9 = 44/9
--------------------
Now apply the rule that 1/(A/B) = B/A. We apply the reciprocal to the fraction A/B to get B/A
That means something like 1/(18/5) becomes 5/18
Also, 1 over (44/9) becomes 9/44
1 over (3/5) becomes 5/3
-------------------
We now have the following:
(5/18) + (9/44) + (5/3)
We'll come back to this later. But first need the LCD, which means we need the LCM of the denominators.
Write out the prime factorization of each denominator
18 = 2*3*344 = 2*2*113 = 1*3The unique prime factors are: 2, 3, 11
We have 2 occur at most twice, so 2^2 is part of the LCM.We have 3 occur at most twice, so 3^2 is part of the LCMWe have 11 occur at most 1 time, so 11^1 is part of the LCMThe LCM is 2^2*3^3*11^1 = 1188, which is also the LCD
-------------------
We need to get each fraction to have the LCD
5/18 = (5/18)*(66/66) = 330/1188
9/44 = (9/44)*(27/27) = 243/1188
5/3 = (5/3)*(396/396) = 1980/1188
We can now add the fractions like so
(5/18) + (9/44) + (5/3)
(330/1188) + (243/1188) + (1980/1188)
(330+243+1980)/1188
2553/1188
-------------------
We're almost done. We just need to convert to a mixed number, aka mixed fraction
Using a calculator or long division, you should find that
2553/1188 = 2.1489898989899
approximately. Focus just on the stuff to the left of the decimal point. That's the whole part of the answer.
We can then say: 2553-1188*2 = 177
This forms the numerator of the fractional part. The denominator stays at the LCD 1188
That forms the fraction 177/1188. Divide both parts of that fraction by 3 to fully reduce it. You should get to 59/396
-------------------
So that's how we end up with the mixed number 2 & 59/396
The base of an open rectangular box is of length (2x + 5) cm and width x cm.
The area of this base is 58 cm
The height of the open box is (x - 2) cm.
a) Show that 2x + 5x -58 = 0
) Solve the equation 2x + 5x -58 = 0, giving your answers correct
to 2 decimal places
D) Hence calculate the volume of the box, stating the units of your answer.
Answer:
a) x = 8.29 cm
D) V = 1125.27 cm³
Step-by-step explanation:
a) We can solve the equation as follows:
[tex] 2x + 5x - 58 = 0 [/tex]
[tex] 2x + 5x = 58 [/tex]
[tex] x = \frac{58}{7} = 8.29 [/tex]
D) The volume of the box is given by:
[tex] V = l*w*h [/tex]
Where:
l: is the length
w: is the width
h: is the height
The length of the rectangular box is:
[tex] l = (2x + 5) cm = (2*8.29 + 5) cm = 21.58 cm [/tex]
The width is x = 8.29 cm.
And the height is:
[tex] h = (x - 2) cm = (8.29 - 2) cm = 6.29 cm [/tex]
Hence, the volume is:
[tex] V = l*w*h = (21.58*8.29*6.29) cm^{3} = 1125.27 cm^{3} [/tex]
I hope it helps you!
What is the circumference of a circle with a diameter of 12 feet? (use 3.14 for pi)
36 ft.
37.68 ft.
36.26 ft.
38 ft.
Answer:
37.68ft
Step-by-step explanation:
Answer:
37.68 ft
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d where d is the diameter
C = 3.14 * 12
C =37.68 ft
Please help me it's urgent!
Answer:
y = 2x-5
y=-x+4
Step-by-step explanation:
Just need to solve the:
x+y=4
y-2x=-5
And we have:
x=3
y=1
Then replace x and y into the answer to find the correct one
What is m angle A? Enter your answer in the box.
Answer:
ANSWER: 22
Step-by-step explanation:
hope it helps thankks
Answer:
I agree with the person above
Can someone help
Write an equivalent expression for
63.62.65.6.
When multiplying the same number raised to different powers add the powers together.
3 + 2 + 5 = 10
Because you are also multiplying a value without a power you need to add 1 to the sum of the powers:
10 + 1 = 11
Answer: 6^11
what is the value of x in a circle
Answer:
30°
Step-by-step explanation:
x = 180° -60°-90° = 30°
( Answer Honestly Please )
B. Translate the following English phrases to mathematical statements:
6. 3 times a number (x) is greater than 10
7. A number (x) added by 4 is less than or equal to 7
8. 6 is less than a number (x) divided by 6
9. The ratio of 10 and a number (x) is greater than or equal to 5
10.The sum of x and 7 is less than 4
Answer:
See below.
Step-by-step explanation:
6. 3 times a number (x) is greater than 10
3x > 10
7. A number (x) added by 4 is less than or equal to 7
x+4[tex]\leq[/tex]7
8. 6 is less than a number (x) divided by 6
6 < x/6
9. The ratio of 10 and a number (x) is greater than or equal to 5
(10/x) [tex]\geq[/tex] 5
10.The sum of x and 7 is less than 4
x + 7 < 4
please please someone help!! im confused on the parentheses part. i will give brainliest and 20 points
Answer:(first term)
a=27(4th term)
T4= a x r^3 = 64
substituting a as 27 in T4
27 x r^3 = 64
r^3 = 64/27
r=4/3
so; a=27, r=4/3
using the general formula of geometric progression,
a x r^n-1
substitute:.
27 x 4/3^n-1
= 27(4/3)^n-1
Answer: (C) HOPE THIS HELPS!
the value of 1/2 ×3/5 is eqaul to
Answer:
3/10
Step-by-step explanation:
=1/2 *3/5
= 1*3/2*5
= 3/10
hope it helps
what is the mass of an object that has a density of 0.7g/cm^3 and a volume of 8cm^3? (The density of an object has the equation d= m/v)
Find the length of "b" to the nearest tenth.
Answer:
11.2
Step-by-step explanation:
(AB) ^2 - (BC) ^2 = b^2 (Pythogoras Theorem)
(15)^2 - (10)^2 = (b) ^2
b^2=225-100
b^2=125
b=root (125)
b=11.18
b=11.2
What expression is equivalent to (5z^2+3z+2)^2
?
Answer:
[tex]{ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)[/tex]
Simplify the following surd expressions
a) 7V3 - 2V3 + V3 - 3V3
b) 5V7 +4V7 – 8V7
Step-by-step explanation:
[tex]a) \: 7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3} [/tex]
[Taking sq.root 3 common]
[tex] = (7 - 2 + 1 - 3) \sqrt{3} [/tex]
[tex] = (8 - 5) \sqrt{3} [/tex]
[tex] = 3 \sqrt{3} (ans)[/tex]
[tex]b) \: 5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} [/tex]
[Taking sq.root 7 common]
[tex] = (5 + 4 - 8) \sqrt{7} [/tex]
[tex] = (9 - 8)\sqrt{7} [/tex]
[tex] = 1 \sqrt{7} [/tex]
[tex] = \sqrt{7} (ans)[/tex]
what is the equation of the following graph in vertex form?
Answer:
y = (x + 1)²
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 1, 0) , then
y = a(x + 1)² + 0
To find a substitute (0, 1), the y- intercept into the equation
1 = a(0 + 1)² = a
y = (x + 1)²
What is the missing value in the last step? 3 6 9 18
Answer:
D
Step-by-step explanation:
edge 2021
can someone help me find what a,b and c are?
Answer:
7 < 8.5 < 9
Step-by-step explanation:
Well < and > mean greater and less than so put it from the smallest to the largest
I have a bag of coins.In it, one third is gold, one fifth of them are silver, two seventh are bronze the rest are copper. My bag can only fit 200 coins how many coins do i have in my bag?
Answer:
Copper = x= 36.19
Step-by-step explanation:
The number of copper is unknown
Gold = 1/3
Silver = 1/5
Bronze =2/7
Copper = x
Total coins = 200
Gold = 1/3 of 200
= 1/3 × 200
= 200/3
= 66.67
Silver = 1/5 × 200
= 200/5
= 40
Bronze = 2/7 × 200
= 400/7
= 57.14
Total = gold + silver + bronze + copper
200 = 66.67 + 40 + 57.14 + x
200 = 163.81 + x
200 - 163.81 = x
x = 36.19
Copper = x= 36.19
WILL MAKE THE CORRECT ANSWER BRAINLIEST!!!
WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.
Answer:
y = 2/3x + 1 1/3
Step-by-step explanation:
As y increases by 2, x increases by 3, so 2/3. The y - intercept is 1 and 1/3 so plus 1 1/3
(x+4)+(x-3)+(2x+2)+(x^2+3x+1)
Answer:
X^2+7x+4
Step-by-step explanation:
Please help I put 50 points
Answer:
output = input - equation
y = x - 7
so 7 is your correct equation!!
Step-by-step explanation:
as u can see
When input x is subtracted from output y, we are getting answer 7
like here
imma gonna tell u how 7 is came
1-8=7
2-9=7
3-10=7
4-11=7
so 7 is our equation
its just a explanation okay
so we get our solution
•°• Y = X - 7
hope it may help you!!
mark as brainlist
what is the 1QR 14,11,8,1,23,20,17,5,19,10,12,22
Answer:
Step 1: Put the numbers in order.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 2: Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 3: Place parentheses around the numbers above and below the median.
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).
Step 4: Find Q1 and Q3
Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.
(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.
Step 5: Subtract Q1 from Q3 to find the interquartile range.
18 – 5 = 13.
Step-by-step explanation:
Please help me with this question.
Answer:
Step-by-step explanation:
736
Evaluate e^4 to one decimal place
Answer:
The answer is going to be the general form for e^x = 1 + x/(1!) + + x^2/(2!) + x^3/(3!) +.....,. till infinity so : e^4 = 1 + 4/1 + 16/ 2 + 64/6 + 256/24 + 1024/ 120 + 4096/720 + 16384/5040 +...till the fraction is<0.1 = 54.6
What is the maximum value of the objective function, P, with the given constraints? P=25x+45y 4x+y≤16 x+y≤10 x≥0 y≥0
Answer:
the maximum is 450 and the minimum is 0.
Step-by-step explanation:
We know that:
P(x, y) = 25*x + 45*y
First, is easy to see that as x and y increase, also does the value of P(x, y)
So we just need to find the largest and smallest possible values of these variables. We also can notice that the variable y is being multiplicated by a larger coefficient than x, so we prioritize larger values of y when we can.
We know that:
4x+y ≤ 16
x + y ≤10
x≥0
y≥0
Let's start with the second inequality, let's solve this for y:
y ≤ 10 - x
and from the first one we get:
y ≤ 16 - 4*x
Just to show that maximizing x does not work, let's do it:
from the second one, knowing that the minimum value of y is y = 0
we have that:
0 ≤ 16 - 4*x
Here the maximum value that y can take is x = 1
0 ≤ 16 - 4*1 = 0
So we can have the combination y = 0 and x = 1, when we maximize x (here we can see that we should not maximize x)
in this case we get:
P(1, 0) = 25*1 + 47*0 = 25
let's write again our inequalities:
y ≤ 10 - x
y ≤ 16 - 4*x
If now we take the minimum value of x, x = 0, we get:
y ≤ 10
y ≤ 16
Because the first one is more restrictive, we know that the maximum value that y can take (when x = 0) is y = 10
in this case we get:
P(0, 10) = 25*0 + 45*10 = 450
As expected, here is the actual maximum for the given restrictions.
For the minimum, we just need to take the two lowest possible values of x and y, which are the two given by the equalities on:
x≥0
y≥0
The smallest values are:
x = 0
y = 0
Replacing that in the equation we get:
P(0, 0) = 25*0 + 47*0 = 0
So the maximum is 450 and the minimum is 0. (with the given restrictions)