Answer:
60
Step-by-step explanation:
Use the Pythagorean Theorem to find the height. 13 squared minus 5 squared=144
Square rt= 12
Now use the formula (base times height) divided by 2
(10 x 12)/2
120/2
60
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
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]
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
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:
PLEASE HELP!!!!!
find the area of the polygon.
Answer:
2 cm is were youll find the polygon at. it shouldnt be hard to see the area of were the polygon is
Answer:
208 cm²
Step-by-step explanation:
14 cm × 16 cm = 224 cm²
14 cm - 6 cm = 8 cm
8 cm × 2 cm = 16 cm²
224 cm² - 16 cm² = 208 cm²
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:
Help please someone please give me the correct answer
I will mark you brainliest for the correct answer!!
This is a test!!!
Answer:
Angle X and W are verticalStep-by-step explanation:
It's wrong statementA 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 ∠ 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
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 is the proportion for x
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.
Keenan bought 9 books about plants and 6 books about fish. He also bought 8 science magazines. Each book cost $20 and each magazine cost $3. How much did Keenan spend in all?
Answer:
$324
Step-by-step explanation:
Cost per books = $20
Book cost = $20 * (9 + 6) = 20 * 15 = $300
Cost per magazine = $3
Number of magazines = 8
Magazone cost = 8 * $3 = 24
Total cost = $300 + $24
= $324
based on sample one, how many students from the entire student population preferred the 8:30 am start time
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:
p which- x2+8x+p=0 will have equal roots
Answer:
The correct answer is the 162xsquare
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
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
Zoom in giving 5 stars to right answer
Answer:
Can u take a better picture?
Missing leg of 75 and 60
Answer:
huh?
Step-by-step explanation:
Is this a question or what??
Victoria has a points card for a movie theater.
She receives 65 rewards points just for signing up.
She earns 12.5 points for each visit to the movie theater.
She needs at least 215 points for a free movie ticket.
Use the drop-down menu below to write an inequality representing vv, the number of visits she needs to make in order to get a free movie ticket.
Answer: she needs to go 12 times
Step-by-step explanation:
Answer:
*12=3x+4m-3x2.......THE ANSWER IS 10
Step-by-step explanation:
divide 12 by 3
add that answer by 4
subract that by 3
then multiply it by 2
and it gives you... (10)
Your Welcome
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:
Find x (the answer is a decimal) Picture posted below.
Answer:
x = 37.5
hope that helps
Pleasr help fast it's due today
1. Consider the surface area of the following pyramid.
224 am
4 am
4 am
2.24 cm
4 cm
3 cm
4 cm
4 cm
3 cm
13 cm
4 cm
4 cm
3 cm
4 cm
4 cm
3 cm
(a) Calculate the total surface area of the pyramid. Show your work.
the answer is 26.88 i wish that helped :)
neeed help againnnnnn
Answer:
look at the picture i sent............
90% of the stores at a shopping mall sell clothing. If 63 of the stores sell clothing, how many total stores are at the mall?
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.
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
Quiz
Your 6 year investment of $40.000 at 14% compounded yearly is worth how much now?
Round to the nearest hundredths.
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.