!!easy math!! help me please
The combined area of a square and a rectangle is 33 square meters. The width of the rectangle is 1 meter more than the length of one side of the square and the length of the rectangle is 3 meters more
than its width.
a) Calculate the dimensions of the rectangle and its perimeter
b) Calculate the dimensions of the square.
Answer:
4 m = width of the rectangle.
6 m = length of the rectangle
20 m = perimeter of rectangle
3 m = side of the square
Step-by-step explanation:
Let s = length of side of square
s + 1 = width of rectangle
s + 3 = length of rectangle
Area of rectangle = (s + 1)(s + 3)
Area of square = [tex]s^{2}[/tex]
So, (s + 1)(s + 3) + [tex]s^{2}[/tex] = 33
[tex]s^{2}[/tex] + 4s + 3 + [tex]s^{2}[/tex] = 33
2[tex]s^{2}[/tex] + 4s - 30 = 0
2([tex]s^{2}[/tex] + 2s - 15) = 0
2(s + 5)(s - 3) = 0
s = -5 or s = 3
Length of a side cannot be negative, so -5 is ignored
3 m = side of the square
4 m = width of the rectangle
6 m = length of the rectangle
2(4) + 2(6) = 8 + 12 = 20 m = perimeter of rectangle
In AVWX, XV
W X and mW
- 27°. Find m_X.
Answer:
m<X = [tex]126^{o}[/tex]
Step-by-step explanation:
From the given isosceles triangle, we have;
<W and <V as the base angles
So that,
m<W = m<V = 27 (base angles of an isosceles triangle are equal)
Thus,
m<X + m<V + m<W = 180 (sum of angles in a triangle)
m<X + 27 + 27 = 180
m<X + 54 = 180
m<X = 180 - 54
= 126
m<X = [tex]126^{o}[/tex]
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=20°, and EF = 92 feet. Find the length of FD to the nearest tenth of a foot.
Answer:
FD ≈ 252.8 feet
Step-by-step explanation:
By applying tangent rule in the given right triangle,
tan(20°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(20°) = [tex]\frac{EF}{FD}[/tex]
0.36397 = [tex]\frac{92}{FD}[/tex]
FD = [tex]\frac{92}{0.36397}[/tex]
FD = 252.77
FD ≈ 252.8 feet
You're getting a pay raise! You are going to be making $9 per hour plus a $100 bonus. You will make a total of $190 every day. I need the answer asap
Answer:
x=10
Step-by-step explanation:
y=mx+b
y=9x+100
190=9x+100
x=10
Answer:
9x + 100 = 190
Step-by-step explanation:
Where x is hours.
What is the simplified form of the quantity of x plus 7, all over 2 − the quantity of x plus 4, all over 2?
(x + 7)/2 - (x + 4)/2 = (x + 7 - (x + 4)/2 = (x + 7 - x - 4)/2 = 3/2
Covert this repeating decimal into a fraction (answer choices at the top)
Answer:
Option 1 4311/9900
Step-by-step explanation:
4311/9900 = 0.435454545454545454
Can I have Brainliest please. :D
A student flips a spinner (which has 6 equal
sections) and rolls a die. How many possible
outcomes are there?
Answer:
1/42 probability
dice = 1/36 probability
spinner = 1/6
1. Ernie Boddy had $3,620.00 on deposit at savings bank on July 1. The money earns interest at a rate of 6.5% compounded quarterly. a. What is the amount in the account on April first of the following year if no deposits or withdrawals were made? B. How much is the compound interest?
Answer:
235.3$ for part a
The amount in the account on April first of the following year is $3799.358 and the compound interest is $179.358.
What is Compound Interest?Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.
(a) The amount in a compound interest can be found as,
A = P(1 + [tex]\frac{r}{n}[/tex]) ^(nt)
where A is the final amount, P is the initial or principal amount, r is the interest rate, n is the number of times compounding occurs in a year and t is the number of years.
Given P = $3,620, r = 6.5% = 0.065, t = 9 months = 0.75 year
n = 4 (since compounded quarterly)
A = 3620 (1 + [tex]\frac{0.065}{4}[/tex]) ^(4 × 0.75)
= 3620 (1.01625)³
= 3799.358
(b) Compound Interest = Final amount - Initial amount
= 3799.358 - 3,620
= $179.358
Hence the compound interest is $179.358.
Learn more about Compound Interest here :
https://brainly.com/question/14295570
#SPJ2
Find the surface area of a square pyramid with side length 5 ft and slant height 7 ft.
5 ft
5 ft
Answer:
99.33ft^2
Step-by-step explanation:
The surface area of a square pyramid is expressed as;
TSA = a²+2a√a²/4 + h²
Given that
a = 5ft
h = 7ft
Substitute
TSA = 5²+2(5)√5²/4 + 7²
TSA = 25+10√25/4 + 49
TSA = 25 + 10√(221/4)
TSA = 25 + 10(√55.25)
TSA = 25 + 10(7.433)
TSA = 25 + 74.33
TSA = 99.33ft^2
Hence the surface area of a square pyramid with side length 5 ft and slant height 7 ft is 99.33ft^2
Answer:5x5=25 fts
4(1/2 x 5ft x7 ft) = 70 fts
Add them up and you get
Answer= 95fts
Step-by-step explanation:
Mario walked at a rate of
mile every minutes.
What was his walking rate in miles per hour?
A.) 4
B) 6 2/3
C) 9
D) 15
WHAT IS IT???????
On a coordinate plane, a circle has a center at point (negative 6, 4).
What is the equation of the circle shown in the graph?
Answer:
[tex] {x}^{2} + {y}^{2} + 12x - 8y + 4 = 0[/tex]
Answer:
1:x+6 2:y-4 3:36
Step-by-step explanation:
just did it :)
aye can some1 plz help me with this 1 question!?!?
Answer:
Check pdf
Step-by-step explanation:
Answer:
epic
Step-by-step explanation:
big brain playz
Each morning, Lena leaves her house at 6:15 A.M. It takes Lena 5 minutes to walk to the bus stop. Lena rides the bus for 20 minutes and then walks 5 minutes to her office. What time does Lena arrive at work?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Will give brainiliest
Answer:
6:45
Step-by-step explanation:
5 minutes + 20 minutes +5 minutes= 30 minutes
Answer:
6:45 A.M.
Step-by-step explanation:
6:45 A.M. is exactly 30 minutes after 6:15 A.M., which is how long it takes her to walk to the bus stop, ride the bus, and walk to work.
Stay safe! <3
Pls help! 15 points
It’s for math
Answer:
This equation is in y=mx+b form, where m is the slope, and b is the y-intercept.
So, you're correct. "Y-Intercept" is the correct answer.
Let me know if this helps!
Answer:
y-intercept
Step-by-step explanation:
b is always y-intercept
m is always slope
PLS help. 15 points and brainliest
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
The sides of an isosceles triangle are 5, 5, and 7. Find the measure of the vertex angle to the nearest degree.
Answer:
T.A = 54 + 9/2 √3
Step-by-step explanation:
∵ The figure is triangular prism
∴ T.A = perimeter of the base × height + 2 × area of the base
∵ The base is an equilateral Δ with side length 3"
∴ The perimeter of the base = 3 × 3 = 9 inches
∴ The area of the base = 1/4 S² √3 = 1/4 (3)²√3 = 9/4 √3 inches²
∵ The length of the height of the prism = 6"
∴ T.A = 9 × 6 + 2 × 9/4 √3 = 54 + 9/2 √3
∴ T.A = 54 + 9/2 √3 inches²
Answer:
89° to the nearest degree.
Step-by-step explanation:
Write the equation of the
line in slope intercept form
that contains the points
(-3,-2) and (-2,3).
Answer:
y=5x+13
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-(-2))/(-2-(-3))
m=(3+2)/(-2+3)
m=5/1
m=5
y-y1=m(x-x1)
y-(-2)=5(x-(-3))
y+2=5(x+3)
y=5x+15-2
y=5x+13
Answer:
y = 5x + 13
Step-by-step explanation:
Slope = delta y/ delta x
(3-(-2))/(-2-(-3))
(5)/(1) = 5
Slope = 5
y = 5x + b
Find the y-intercept through substitution:
(-2,3)
3 = 5(-2) + b
3 = -10 + b
13 = b
Equation:
y = 5x + 13
ZA and ZB are vertical angles with mZA= x and mZB = 5x – 80. What is mA? Enter your answer in the box.
Answer:
20
Step-by-step explanation:
vertical angles are equal. meas. of angle a = meas. of angle b
x=5x-80
x+80=5x
80=4x
20=x
Answer:
A = 80
Step-by-step explanation:
If they are vertical angles, they are equal.
5x - 80 = x Add 80 to both sides
5x - 80 + 80 = x + 80
5x = x + 80 Subtract x from both sides
5x - x = x - x + 80
4x = 80 Divide by 4
4x/4 = 80/4
x = 20
Q10 plz I need the answer asap
Answer:
(6P-4M)(6P+4M)
Step-by-step explanation:
[tex]36P^2-16M^2[/tex] can be factored using the "difference of squares" formula which is [tex]a^{2}-b^{2}=(a+b)(a-b)[/tex].
6*6=36 and 4*4=16; P*P=P^2 and M*M=M^2 -- from this we know that the two variables on each side of the minus sign are perfect squares. Now, see [tex]36P^2-16M^2[/tex] as [tex](6P)^2-(4M)^2[/tex] to make it fit nicer to the formula.
So, [tex](6P)^2-(4M)^2=(6P+4M)(6P-4M)[/tex].
If you forget the formula, you can always go backward on multiple-choice questions like this one. Use FOIL to expand your factored answers.
For brainiest:):):):)
Answer:
11.a 2/3rd grams of protein
11.b 2.5 cups
12. for every gram of protein there is 2.5 cups of cereal
Step-by-step explanation:
An angle measures 32 degrees. Through what fraction of a circle does the angle turn? I need help !!!!!!!!
Answer:
4/45
Step-by-step explanation:
The sum of angles in a triangle is 360 degrees
If the angle measures 32 degrees, the fraction can be represent as 32/360
32/360 has to be converted to its simplest form. To this divide both the numerator and the denominator by 8. This gives 4/45
Here are the other questions like I said.Remember,NO SCAMS,if you scam I will report.
Answer:
question 8) y-intercept is -1
question 7) the slope is 2/3
question 6) y-intercept is 30,000 and the slope is 2000
question 9) the y-intercept is 150 and the slope is 20
Step-by-step explanation:
Answer:
yakayakayakayakayakayakayakayakayakayakayakayakayakayakayakayakayakayaka
Step-by-step explanation:
yakayakayakayakayakayakayakayakayakayakayakayakayakayakayakayakayakayaka
Write the slope intercept form of the equation of the line through (1,1) and slope =4
Answer:
y = 4x -3
Step-by-step explanation:
EASY! Please help, I will give brainilst if best explained
Answer:
A
Step-by-step explanation:
You convert each fraction to have the same decimal to find the LCD of both denominators
4, 8, 12, 16, 20 and 5, 10, 15, 20 = both of them have 20 in common
You multiply the numerator and denominator by 5 for 2 3/4 and for 5 4/5 you multiply both the numerator and denominator by 4
2 15/20 and 5 16/20
Subtract them and their is your answer
59:40 Vance ate a salad and at a turkey burger for dinner. The salad contained 20 calories and his entire meal contained a calories. Which equation can be used to determine the number of calories in the entire turkey burger? 440 - 4x=80 80---440 440 - (20)
Answer:
123
Step-by-step explanation:
Shade 1/4 of this figure
Answer:
shade 2 triangles
Step-by-step explanation:
2/8 is the same as 1/4.
Answer:
Shade any two pieces
Step-by-step explanation:
2/8 simplified (by cancelling out) is equal to 1/4.
PLEASE HELP!!! Find the value of the variable.
9514 1404 393
Answer:
q = 9
Step-by-step explanation:
The angle bisector divides the triangle sides proportionally.
q/36 = (16 -q)/28
7q = 9(16 -q) . . . . . . multiply both sides by 252 (the LCM of 28 and 36)
16q = 16(9) . . . . . . . . add 9q to both sides
q = 9 . . . . . . . . . . . . . divide by 16
_____
Additional comment
We are given the sum of the segment lengths on the far left side. The proportion is the same for the sum of sides as it is for individual sides.
(q/36) = 16/(36+28)
q/36 = 16/64 = 1/4
q = 36/4 = 9
The two figures are similar. Find the missing
dimension. Round to the nearest tenth if
necessary.
Answer:
4 in
Step-by-step explanation:
For the smaller figure, we can assume the other missing side is 2 because the area is 4, and area = length*width.
So the area of the larger figure is 4^2, or 16, so then we can assume the x or the two missing sides for the larger figure are 4 beacuse 4*4=16
Fill in the blank.
|3.3| = ____
Answer:
it stays the same
Step-by-step explanation:
if it was -3.3 then it would change to 3.3 but because it is already in the positives it stays a positive plz double chesk if needed tho
Answer:
[tex]3.3[/tex]
Step-by-step explanation:
Absolute value expresses the distance of a number from 0.
For this reason, no matter if the number is negative or positive, the absolute value of it will always be positive.
In this case, it is simply [tex]|3.3|=3.3[/tex].
Mrs. Williams put $500 into a retirement account that earns 4% interest. How long will it take for there to be $3,500?
I guess 7 years or 28 months (I think 28 months )