Answer:
[tex]Longer\ leg = 8[/tex]
Step-by-step explanation:
Given
30-60-90 triangle
[tex]Shorter = \frac{8}{\sqrt 3}[/tex]
Required
The longer leg
The following relationship exists in a 30-60-90 triangle.
[tex]Longer\ leg = \sqrt 3 * Shorter\ Leg[/tex]
This gives:
[tex]Longer\ leg = \sqrt 3 * \frac{8}{\sqrt 3}[/tex]
[tex]Longer\ leg = 1* \frac{8}{1}[/tex]
[tex]Longer\ leg = 1* 8[/tex]
[tex]Longer\ leg = 8[/tex]
This year Adeele paid £465 for her car insurance. This is an increase of 20% on last year's payment. How much did Adele pay last year?
Answer:
Insurance cost (last year)= £387.5
Step-by-step explanation:
Giving the following information:
Insurance cost= £465
Increase growth rate= 20% = 0.2
To calculate the cost of insurance last year, we need to use the following formula:
Insurance cost (last year)= insurance cost / (1 + insurance growth rate)
Insurance cost (last year)= 465 / (1 + 0.2)
Insurance cost (last year)= £387.5
The amount that Adele pay last year was:£387.5.
Car insurance:Using this formula
Amount paid= Insurance cost / (1 + Insurance growth rate percentage)
Where:
Insurance cost= £465
Increase growth rate percentage=20% or 0.20
Let plug in the formula
Amount paid= £465 / (1 + 0.20)
Amount paid= £465/1.20
Amount paid= £387.5
Inconclusion the amount that Adele pay last year was:£387.5.
Learn more about insurance here:https://brainly.com/question/25855858
PLEASE HELP WILL GIVE BRAINLIEST IF CORRECT
Let y = 2t+ 5 be a linear function representing the distance
from home for an ant t minutes after starting out from a
location near its home. What does the number 2 represent in
this function?
O A. The ant is 2 feet from its home after t minutes.
O B. The ant is moving 2 feet every 5 minutes.
O C. The ant is crawling at 2 feet per minute.
O D. The ant started out 2 feet from its home.
Given f(X) = 4x^4+5x - 15x² - 45, find f(-3).
Answer:
i think the answer is 174
The scatterplot below represents the amount of paper left in an office copy machine in the month of June.
Approximately, what is the amount of paper left inside the machine on 14th of June
Answer:
75
Step-by-step explanation:
Each side of a square is 3inches long.a student increases the length of each side by 3inches.the are of the new Square is how many times the area of original square?
A=2
B-3
C=4
D=a
CAN SOMEONE PLEASE ANSWER THE FOLLOWING IT URGENT
Answer:
See bolded below.
Step-by-step explanation:
As you said, you only need help with no. 2:
a) Check the attachments for the lines
b) The equations are, respectively:
y = -4x + 1 [intersects parabola at 1 point]
Check:
[tex]\begin{bmatrix}y=\left(x-2\right)^2-3\\ y=-4x+1\end{bmatrix}[/tex]
[tex]\begin{bmatrix}-4x+1=\left(x-2\right)^2-3\end{bmatrix}[/tex]
[tex]\begin{bmatrix}-4x+1=x^2-4x+1\end{bmatrix}[/tex]
[tex]x^2=0, x = 0[/tex]
[tex]y=-4\cdot \:0+1 = 1[/tex]
[tex]y=1,\:x=0[/tex]
The point of intersection would be (0, 1)
y = -4x + 3 [intersects parabola at 2 points]
Check:
[tex]\begin{bmatrix}y=\left(x-2\right)^2-3\\ y=-4x+3\end{bmatrix}[/tex]
Subtract the 2 equations,
[tex]y=\left(x-2\right)^2-3\\-\\\underline{y=-4x+3}\\y-y=\left(x-2\right)^2-3-\left(-4x+3\right),\\0=x^2-2\\x = \sqrt{2}, x = - \sqrt{2} \\\\\mathrm{Plug\:the\:solutions\:}x=\sqrt{2},\:x=-\sqrt{2}\mathrm{\:into\:}y=\left(x-2\right)^2-3[/tex]
[tex]\begin{pmatrix}x=\sqrt{2},\:&y=3-4\sqrt{2}\\ x=-\sqrt{2},\:&y=3+4\sqrt{2}\end{pmatrix}[/tex]
Therefore the points of intersection are (√2, 3-4√2) and (-√2, 3+4√2) respectively
And finally we have the equation y = - 4x. It doesn't intersect the parabola.
c) The y-intercepts of such graphs are all less than or equal to 0.
Consider JKL and MNO
Which piece of information can be used to prove that AJKL - AMNO ?
how much short of 2 metres to 107cm
Answer: 93 centimeters
Step-by-step explanation: Its 93 cm because 2 metres is equivalent 200 cm, so 200-107= 93.
After 3 hours of steady snowfall, Rhianna measures how much snow is in her driveway. She finds there is 1/2 of an inch of snow. How many inches of snow fell each hour?
Answer:
1/6 inch per hour
Step-by-step explanation:
1/2 ÷3= 1/6
HELP NOW PLEASE
Which expression is equivalent to -12(3x - 3/4)?
-36x - 8
-36x + 8
-36x - 9
-36x + 9
Answer:
-36x+9
Step-by-step explanation:
so for this question they want you to simplify the expression and to do that you distribute -12 to what is in the parenthesis
-12x3x=-36x
-12x-3/4=9
so the answer is -36x+9
have a great day :D
based on sample one, how many students from the entire student population preferred the 8:30 am start time
A blank expression like (3+5)x(4-1) is a combination of numbers and least one operation
Answer:
Hey the answer is = 24x
Step-by-step explanation:
An algebraic expression comprises both numbers and variables together with at least one arithmetic operation. To evaluate an algebraic expression you have to substitute each variable with a number and perform the operations included.
HOPE THIS HELPS!
The given numerical expression is simplified to 24.
What is PEDMAS rule?PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.
The given numerical expression is (3+5)×(4-1).
Solve Parentheses first, that is
8×3
=24
Therefore, the given numerical expression is simplified to 24.
Learn more about the PEDMAS rule here:
https://brainly.com/question/24086845.
#SPJ2
If x=7 then which answers would I circle? A. X + 7 = 17 b. 7 = 17 - x c. 70 = 10x d. X/35 = 5 e. 15x = 105
Answer:
C. 70 = 10x
E. 15x = 105
Step-by-step explanation:
x = 7
Using method of elimination;
A. X + 7 = 17
Substituting the value of x;
7 + 7 ≠ 17 (Incorrect option)
B. 7 = 17 - x
Substituting the value of x;
7 ≠ 17 - 7 (Incorrect option)
C. 70 = 10x
Substituting the value of x;
70 = 10 * 7 (Correct option)
D. X/35 = 5
Substituting the value of x;
7 / 35 ≠ 5 (Incorrect option)
E. 15x = 105
Substituting the value of x;
15 * 7 = 105 (Correct option)
ADC is a triangle.
AED and ABC are straight lines.
EB is parallel to DC.
Angle EBC=148°
Angle ADC=63°
Work out the size of angle EAB.
You must give a reason for each stage of your working out.
Answer:
[tex]\angle EAB = 85[/tex]
Step-by-step explanation:
Given
[tex]\angle EBC = 148[/tex]
[tex]\angle ADC = 63[/tex]
See attachment for triangle
Required
Find EAB
[tex]\angle AEB = \angle ADC = 63[/tex] --- corresponding angles
[tex]\angle ABE + \angle EBC = 180[/tex] --- angle on a straight line
So:
[tex]\angle ABE + 148 = 180[/tex]
This gives:
[tex]\angle ABE =- 148 + 180[/tex]
[tex]\angle ABE =32[/tex]
Considering: [tex]\triangle ABE[/tex]
[tex]\angle ABE +\angle AEB +\angle EAB = 180[/tex] --- angles ina triangle
So:
[tex]32 +63+\angle EAB = 180[/tex]
[tex]95+\angle EAB = 180[/tex]
Collect like terms
[tex]\angle EAB = 180-95[/tex]
[tex]\angle EAB = 85[/tex]
Which r-value suggests a weak negative correlation?
A. r = 0.13475
B. r = 0.95768
C. r = -0.13475
D. r = -0.95768
Answer:
r = -0.13475
Step-by-step explanation:
Here, we want to select a value for a weak negative correlation
When a correlation is week, its value is usually less than -0.5
In this case, we have our correct answer as r = -0.13475
All 5 students in Mrs.Awful’s class got 50 for the test For the next test, one of the students got 100 but the remaining students all got 50. What it the average grade in the class now?
Answer:
60
Explanation:
the formula for calculating the average grade would be the total score of all students ÷ the number of students. in this case, that would be:
(100 + 50 + 50 + 50 + 50) ÷ 5
= 300 ÷ 5
= 60
so, the average grade is 60.
i hope this helps! :D
Missing leg of 75 and 60
Answer:
huh?
Step-by-step explanation:
Is this a question or what??
Can someone helpppp plssss
Answer:
angleQ+angleR is 180degrees because of the properties of isoceles trapezoid. So, if you set equation and solve, you'll get the fact that x is 12, and angleR is 130degrees, and angleQ is 50degrees. According to the properties of isoceles trapezoid, angleQ is the same as angleT. So, angleT is 50degrees
Answer:
Step-by-step explanation:
If ∠ A and ∠ B are supplementary angles and ∠ A is seventeen times as large as ∠ B, find the measures of ∠ A and ∠ B.
supplementary angles = 180°
A : B
17 : 1
170 : 10
p which- x2+8x+p=0 will have equal roots
Answer:
The correct answer is the 162xsquare
neeed help againnnnnn
Answer:
look at the picture i sent............
Quiz
Your 6 year investment of $40.000 at 14% compounded yearly is worth how much now?
Round to the nearest hundredths.
A =
The balance on your ATM receipt is $93.72. You just wrote a check this morning for $12.57. What is your adjusted balance?
Answer:
$81.15
Step-by-step explanation:
A scale model of the Washington Monument is 15 inches tall and the base is 1.5 inches wide. If the actual monument is approximately 555 feet tall, which is closest to the width, in feet, of the base?
A 10 ft tall tent standing next to a woman
casts a 16 ft shadow. If the woman is 5 ft
tall, then how long is her shadow?
Answer:
8 ft
Step-by-step explanation:
Set up a proportion: 10/16=5/x
Solve for x: 80=10x
x=8
Solve for x.
-5x = -10
Answer:
x=2
Step-by-step explanation:
divide -5 to both sides to isolate the x. two negatives make a positive therefore x=2.
i hope this helps :)
Answer:
2
Step-by-step explanation:
-10 divided by -5 is 2. Therefore, x=2.
What property do we use when we find equivalent fractions?
Answer:
It's called the cross multiply rule. The rule is shown below: This formula says that if the numerator of one fraction times the denominator of the other fraction equals the denominator of the first fraction times the numerator of the second fraction, then the fractions are equivalent.
Step-by-step explanation:
Sorry I need this answered again because a spammer answered it the first time :/
The circulatory system helps provide energy to the body when it
A. Carries wastes to the liver and kidneys
B.carries carbon dioxide to the lungs
C.carries oxygen and nutrients to the muscles
D.carries hormones through the bloodstream
Answer:
C
Step-by-step explanation:
What is the solution to the system graphed below?
Answer:
The solution is (-4,-1)
Step-by-step explanation:
The solution to the system is where the two graphs intersect.
The lines intersect at x = -4 and y = -1
The solution is (-4,-1)
Kayla bought seven boxes. A week later, half of all her boxes were destroyed in
a fire. There are now only 22 boxes left. With how many did she start? Show your work.
Answer:
Let's call the number of boxes Maria started with:
There are 37 boxes
Step-by-step explanation:
Let's call the number of boxes Kayla started with:
Then we can write:
22
=
b
+
7
2
Where:
22
is the number of boxes Kayla has left.
(
b
+
7
)
is the number of boxes Kayla started with plus the
7
she bought
The division by
2
represents
1
2
of the total boxes Kayla had being destroyed by fire.
We can solve this by first multiplying each side of the equation by
2
to eliminate the fraction while keeping the equation balanced:
2
×
22
=
2
×
b
+
7
2
44
=
2
×
b
+
7
2
44
=
b
+
7
Now, subtract
7
from each side of the equation to solve for
b
while keeping the equation balanced:
44
−
7
=
b
+
7
−
7
37
=
b
+
0
37
=
b
b
=
37
Kayla started out with 37 boxes.