Area of a triangle = 1/2 * b * h
b = base
h = height
We know:
h = x
b = 4x
Area = 338ft^2
Let's plug these numbers into the Area formula above.
338ft^2 = 1/2 * 4x * x
First, let's divide both sides by 1/2
676ft^2 = 4x * x
Let's simplify the right side.
676ft^2 = 4x^2
Take the sqrt of both sides.
26 = 2x
Divide each side by 2
13 = x
Remember, the height = x = 13 feet
Solve for x-
5x-2 = 2x+10
✨__________________________________✨
4 is correct answer
Step-by-step explanation:
[tex]5x - 2 = 2x + 10 \\ 5x - 2x = 10 + 2 \\ 3x = 12 \\ x = \frac{12}{3} \\ x = 4[/tex]
✨__________________________________✨
Written By: A Silent Voice☃️
What is the value of AB?
Answer:
use the pythogoras thoerem making aright angled traingle
and multiply the result by 2
ab = 2*8 =16
Step-by-step explanation:
Question 3 of 8
Which of the following are measurements for rectangles that are similar to a
rectangle with a width of 10 and a length of 20? Check all that apply.
A. 17 and 34
B. 2.5 and 6
O C. 15 and 30
0 D. 14 and 30
O E. 5 and 10
Hannah had $237 in her
bank account at the start of
the summer. She worked for four
weeks and now she has $1685
in her bank.how much did Hannah make each week in her summer job
Answer:
$362
Step-by-step explanation:
Step 1:
$1685 - $237
Step 2:
$1448 ÷ 4
Answer:
362
Hope This Helps :)
Quick I need help, it states what polygon is shown by the street sign
During a recent beetle infestation, two-thirds of the ash trees in the area were destroyed. If 130 trees were destroyed, how many ash trees were originally in the area?
Answer:
195 Trees
Step-by-step explanation:
2/3 is just 2 of 3 parts
2 parts of the trees is 130,
so divide 130 by 2, and that's 65.
Since you know 65 + 65 is the same as 2 out of 3
Then just add 65 one more time to equal 195.
Since, 65*3 is the same as saying 1 * 3 parts
130 is equal to 2/3, so 195 is equal to 3/3.
132891 round the nerast hundred
the value of 7y–2 is 10 more than the value of 2y
Answer:
y=12/5 (in decimal notation y=2.4)
Step-by-step explanation:
the value of 7y-2 = 10 more than 2y
7y-2 = 10+2y
7y-2y = 10+2
5y = 12
y = 12/5
y = 2.4
Can someone help me with 4?
Answer:
ok so the answer is 343
Step-by-step explanation:
so for 4) you first use PEMDAS(Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction), and you do what's in the parenthesis first, so 7^4= 2401, that is inside the parenthesis, next you do the exponent outside the parenthesis, so is (2401)^2=5764801, and then you divide the 7^5=16807, so it looks like 5764801/16807=343
hope it helps
Answer:
The Answer is 343.
Step-by-step explanation:
First- We do the parenthesis first according to PEMDAS which is 7 x 7 x 7 x 7 equals 2401.
Next- We do 2401 x 2401 which equals 5764801.
Then- We do the bottom exponent which is 7 x 7 x 7 x 7 x 7 equals 16807.
Last- We divide 5764801 by 16807 and we get 343.
Hope this helps!
The sum of three consecutive integers is 267. What is the largest integer?
Answer:
let integers be x,2x, 3x respectively
x+2x+3x= 267
6x= 267
x=267/6= 44.5
2x= 44.5*2= 89
3x= 44.5*3= 133.5
largest integer = 133.5
hope it helps
plz mark as brainliest
Find the 9th term of the geometric sequence 4, 16, 64, ...
Answer: Just keep multiplying by 4 after 64 like multiply 64 times 4 and do that number times and keep doing that until its the 9th answer :)
Step-by-step explanation:
A geometric series is the sum of an unlimited number of terms with a fixed ratio between them. The 9th term of the geometric sequence 4, 16, 64, ... is 262,144.
What is geometrical series?A geometric series is the sum of an unlimited number of terms with a fixed ratio between them.
The first term of the series is 4, while the ratio of the geometric sequence:
[tex]\rm Ratio, r = \dfrac{16}{4} = 4[/tex]
Thus, the 9th term of the geometric series can be written as,
[tex]a_n = a_1 \times r^{(n-1)}\\\\a_9 = 4 \times 4^8\\\\a_9 = 262,144[/tex]
Hence, the 9th term of the geometric sequence 4, 16, 64, ... is 262,144.
Learn more about Geometrical Series:
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Find the value of x that will make A||B.
A
B
4x
2x
X =
?
Answer:
x = 30
Step-by-step explanation:
Lines A and B are parallel lines and a transverse line is intersecting these lines at two distinct points.
By the definition of interior consecutive angles, sum of the measures of interior consecutive angles is 180°.
4x + 2x = 180°
6x = 180
x = 30
Therefore x = 30 will be the answer.
functions occur when every x-value is associated with exactly one
The answer is y-value. A function is formed when one x-value corresponds with one and only one y-value.
g The following scatterplot shows the 20 top-selling cars with their weight on the horizontal axis and their miles per gallon (mpg) on the vertical axis. The overall direction of this data is __________. The strength of the association is __________. a.) positive; weak b.) positive; strong c.) negative; strong d.) negative; weak
scatterplot relating to the question is attached below.
Answer: Negative ; Strong
Step-by-step explanation:
From the picture of the scatter plot Given, it could be observed that the trend of the scatter points exhibits a negative gradient as the points on the graph slopes downward depicting that an inverse relationship exists between the two variables. With weight decreasing as miles per gallon increases. The relationship between the two variables depicted by the scatter plot is strong as the slope of the point is looks moderately steep.
A candy store sells mints in 14, 12 , and 34 lb packages. John purchases several packages of each weight.
What is the weight of 6 packages of the 14 lb package?
Answer:
84 lbs
Step-by-step explanation:
Multiply 14*6 to get the total weight
Is 5 a solution to 2x + 5 = 15? Yes or No
How do you know?
Answer:
Yes
Step-by-step explanation:
yes because when you place 5 in the x spot you arrive a final answer of 15=15
find the integer that makes this subtraction statement true -3 - ? = -5
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2}}}}}[/tex]
Step-by-step explanation:
Let the missing integer be x
Solve for x
[tex] \sf{ - 3 - x = - 5}[/tex]
Move 3 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{ - x = - 5 + 3}}[/tex]
The negative and positive integers are always subtracted but posses the sign of the bigger integer
[tex] \dashrightarrow{ \sf{ - x = - 2}}[/tex]
Change the signs of both sides
[tex] \dashrightarrow{ \boxed{ \sf{x = 2}}}[/tex]
Hope I helped!
Best regards! :D
Find the measures of angles 1 through 5 in the figure shown.
Its 4 PARTS
The measure of angle ∠1 is 44 degrees and the measure of angle ∠5 is 62 degrees.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
Angle ∠1 and 46° are complementary angles. Then we have
∠1 + 46° = 90°
∠1 = 44°
Angle ∠1 and ∠3 are vertically opposite angles. Then we have
∠1 = ∠3 = 44°
The sum of all the angles of the triangle is 180 degrees. Then we have
∠3 + 74° + ∠5 = 180°
44° + 74° + ∠5 = 180°
∠5 = 62°
More about the angled link is given below.
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Rewrite the quality 827,000,000,000,000 pico second to show :
1sig. Fig.
2sig. Fig.
3sig. Fig.
4 dig. Fig.
5sig. Fig.
Answer:
a. 1 sig. fig. _800,000,000,000,000 picoseconds (8 x 10^14 picoseconds)
b. 2 sig. figs. 830,000,000,000,000 picoseconds (8.3 x 10^14 picoseconds)
c. 3 sig. figs. 827,000,000,000,000 picoseconds (8.27 x 10^14 picoseconds)
d. 4 sig. figs. 827,000,000,000,000 picoseconds (8.270 x 10^14 picoseconds)
e. 5 sig. figs. 827,000,000,000,000 picoseconds (8.2700 x 10^14 picoseconds)
Step-by-step explanation:
(URGENT) Country A produces about four times the amount of diamonds in carats produced in country B. If the total produced in both countries is 20,000,000 carats, find the amount produced in each country.
Answer:
A: 16,000,000 caratsB: 4,000,000 caratsStep-by-step explanation:
If the ratio is ...
A : B = 4 : 1
Then the ratio to the total is ...
A : total = 4 : (4+1) = 4 : 5
B : total = 1 : (4+1) = 1 : 5
Country A produces (4/5)×20 M carats, or 16 million carats.
Country B produces the remainder, 4 million carats.
convert this statement into a conditional statement: 2 angles that add up to 180 degrees are supplementary
Which is equivalent to (3 + 4i )(3 - 4i )?
Use the FOIL method to solve.
(3 + 4i)(3 - 4i)
(3 * 3) + (3 * -4i) + (4i * 3) + (4i * -4i)
9 - 12i + 12i - 16i
9 - 16i
Best of Luck!
What is 8,541 rounded to the nearest thousand?
A) 8,500
B) 8,000
C) 8,600
D)9,000
ANSWER PLEASE
Step-by-step explanation:
Answer:
Question What is 8,541 rounded to the nearest thousand? Answer D)9000
Your Welcome =)=}[tex]\sqrt{x} 8\\[/tex]
Write the values that make the denominators zero. then solve the equation?
10/5x-5 + 1/5 = 2/x-1
Answer:
denominators are zero for x=1
there is no solution
Step-by-step explanation:
We suspect your equation is supposed to be ...
10/(5x -5) +1/5 = 2/(x -1) . . . . . parentheses are required on denominators
The denominators will be zero for x=1.
This version of the equation has no solution. It simplifies to ...
2/(x-1) + 1/5 = 2/(x -1)
1/5 = 0 . . . . . subtract 2/(x-1) from both sides
There is no value of x that will make this equation true.
_____
Alternative interpretation
The way your equation is written, it must be interpreted according to the order of operations to be ...
(10/5)x -5 +1/5 = (2/x) -1 . . . . x=0 makes the denominator zero
2x -3.8 = 2/x
2x^2 -3.8x = 2 . . . . multiply by x
2(x^2 -1.9x +.95^2) = 2 +2(0.95^2)
(x -0.95)^2 = 1.9025
x = 0.95 ± √1.9025 ≈ {-0.4293, 2.3293}
A standardized exam's scores are normally distributed. In a recent year, the mean test score was and the standard deviation was . The test scores of four students selected at random are , , , and . Find the z-scores that correspond to each value and determine whether any of the values are unusual.
Answer:
The following are the solution to this question:
Step-by-step explanation:
In the given question, some of the values are missing which is defined in the attached file please find it.
In this question, the data is used to represent a standardized exam's scores, which is normally spread out into the test score that is 1530 and its standard deviation 316.
Formula:
[tex]\to z=\frac{X- \mu}{\sigma } \\[/tex]
If the value of z-score= 1930
[tex]\to z =\frac{1930- 1530}{316 } \\\\ \to z =\frac{400}{316 } \\\\ \to z = 1.27[/tex]
The z-score is 1.27
If the value of z-score= 1250
[tex]\to z =\frac{1250- 1530}{316 } \\\\ \to z =\frac{-280}{316 } \\\\ \to z = -0.886[/tex]
The z-score is -0.886
If the value of z-score= 2250
[tex]\to z =\frac{2250- 1530}{316 } \\\\ \to z =\frac{720}{316 } \\\\ \to z = 2.27[/tex]
The z-score is = 2.27
If the value of z-score= 1420
[tex]\to z =\frac{1420- 1530}{316 } \\\\ \to z =\frac{-110}{316 } \\\\ \to z = -0.348[/tex]
The z-score is = -0.348
Holmes Junior High has 125 more students than Harper Junior High. When the two schools are merged there will be 579 students. How many students currently attend each school?
Answer: 454
Step-by-step explanation: Holmes has 125, Merged there is 579, 579-125 = 454 :) easy subtraction
In the number 4,118, how does the value represented by the 1 in the hundreds place compare with the value represented by the 1 in the tens place?
Answer:
its 10 times
Step-by-step explanation:
its because the value of 1 in the ten place and multiply by 10 to get the 1 in the hundred place or the 1 in the hundred place divide by 10 to get 1 in the tens place
Find JH
G. H. I. J
2. 12.
Answer:
JH = 17
Step-by-step explanation:
GH = 2
IJ = 12
GI = 7
find: JH
HI = 7 - 2
HI = 5
JH = 12 + 5
JH = 17
Help me ASAP plssssssssssssssssssssss
Answer:
the answer is d i think try it.
What is the Domain of the given graph?
(0,2)
(-3,0)
Answer:
dssds 8900
Step-by-step explanation:
dwdwdmunayaynd