4. A rectangle has a diagonal of 8 cm. The diagonal creates a 60° angle at the base of the rectangle.
[2]
a. Draw a picture of the rectangle
[4]
b. Write an EXACT expression for the base and the height of the rectangle.
[2]
C. Use your expressions to find the EXACT area of the rectangle.
9514 1404 393
Answer:
a) see attachment
b) base: 4, height: 4√3
c) area: 16√3
Step-by-step explanation:
a) The figure is drawn in the attachment
__
b) The side lengths of a 30-60-90 right triangle have the ratio ...
1 : √3 : 2
Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.
__
c) The area is the product of base and height:
A = bh
A = 4(4√3) = 16√3 . . . . square units
Write this multiplication expression using an exponent: 2 . 2 . 2 = ?
Answer:2^3
Step-by-step explanation:
pleas help me with this
Answer:
B by Pythagorean theorem
Step-by-step explanation:
20² = 12² + 16²
Please help, I will mark brainliest!
Answer: \frac{n^3-5n^2-3n-27}{n^2-8n-9}
Step-by-step explanation: enter this into a fraction calculator to see what is really is. sorry i needed to put this in a fraction calculator to put it here, i wish i couldve written it normally :(
jayden had some money in his pocket.Then a friend loaned him $1.35.Now jayden has $3.75 in his pocket.
Answer:
If you were wondering how much he had to begin with, it would be $5.10.
Step-by-step explanation:
Hopefully this helps you :3
Write a guess my number clue that is satisfied by an infinite number of solutions
Answer:
1 ?????????.........
Graph 16x−4y=2.Please answer I will make you the brainlist and rate you 5 stars if good.And report if bad.
Answer:
First one is the graph second one is the equation
Step-by-step explanation:
Hope this helps :)
Answer:
Step-by-step explanation:
as graphed
Pam walks 7/8 of a mile to school. Paul walks 1/2 of a mile to school. How much
farther does Pam walk than Paul?
Answer:
Pam walks 3/8 of a mile more than Paul
Step-by-step explanation:
1/2 = 4/8
7/8 - 4/8 = 3/8
What is the distance between the points (-1 , -13) and (-1 , 21) in the coordinate plane?
Answer:
[tex]\displaystyle d = 34[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
CoordinatesAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, -13)
Point (-1, 21)
Step 2: Find distance d
Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(-1+1)^2+(21+13)^2}[/tex](Parenthesis) Add: [tex]\displaystyle d = \sqrt{(0)^2+(34)^2}[/tex][√Radical] Simplify: [tex]\displaystyle d = \sqrt{(34)^2}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 34[/tex]The points (-5, -31) and (3, r) lie on a line with slope 4. Find the missing coordinate r
I’LL MARK BRAINIEST!
To the first correct answer
Answer:
The missing coordinate is 1
Step-by-step explanation:
Find the total surface area of this triangular prism.
height=24cm
width=14cm
length=10cm
slant height=25cm
If the picture below is the triangular prism
Answer:
976
Step-by-step explanation:
14 x 24 = 336 [It's a triangle you would half it but then as there are 2 you would keep it the same]
10 x 25 = 250 [Times by 2 because there are 2 of them]
10 x 14 = 140
336 + 250 + 250 + 140 = 976
what is the domain of h?
Answer:
The domain of given function is: [-7,7]
Step-by-step explanation:
Graphs can be used to determine the domain and range of a function.
On a graph, the values across the x-axis are domain and across y-axis are the range.
In the given graph, we can see that the graph starts from x=-7 and ends at x=7. The filled circle at both ends of the graph indicate that the values 7 and -7 are also included in the domain.
Hence,
The domain of given function is: [-7,7]
A rectangular stage is 6.25 feet long and 12 feet wide. What is the area of the stage in square feet?
Answer:
The area of the stage is 75 sq. ft. (ft²)
Step-by-step explanation:
Use " l * w = area"
6.25 * 12 = A
A = 75
What three ratios are equivalent to 10:12
Answer:
5:6, 20:24, 30:36
Step-by-step explanation:
What is the simplified form of
72x16/50x36 ? assume x ≠ 0
Answer:
Option A
Step-by-step explanation:
[tex]\sqrt{\frac{72x^{16} }{50x^{36} } } = \sqrt{\frac{36x^{16} }{25x^{36} } } = \frac{\sqrt{36x^{16} } }{\sqrt{25x^{36} } } = \frac{\sqrt{36} \times \sqrt{x^{16} } }{\sqrt{25} \times \sqrt{x^{36} } } = \frac{6x^{8} }{5x^{18} } = \frac{6}{5} \times x^{8-18} =\frac{6}{5} \times x^{-10} = \frac{6}{5x^{10} }[/tex]
Simplify 5(x - 2) - 3x + 7.
A. 8x - 3
B. -10x + 25
C. 2x-5
D. 2x - 3
2x-3
Step-by-step explanation:
5(x-2) is 5x-10 then add the -3x + 7, add 5x and -3x to get 2x then add -10 and 7 and get 3 so its gonna be D. 2x-3
Answer:
D. 2x - 3
Step-by-step explanation:
5(x - 2) - 3x + 7 = 5 · x - 5 · 2 - 3x + 7 = 5x - 10 - 3x + 7 = 2x - 3
You are helping create goodie bags for a class party. You have bags Reeses and
lollipops. Resses come in packages of 18 and lollipops in packages of 36. We don't want
any leftover! You want to create the greatest number of goodie bags with no candy
leftover! If the candy is divided evenly among the goodie bags, how many lollipops
would be in each bag?
Answer:
I'm not sure on what your asking could you explane
Can anyone help me with these? PLEASE!!!
Find the value of x. Then find the measure of each angle.
1. x =
2. Angle =
3. Angle =
1. x+(x-26)= 180 (being corresponding angle)
2x-26=180
2x=180-26
2x=154
x=154÷ 2
∴x=77
There are 351 identical plastic chips numbered 1 through 351 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 212
212/351
or
211/351
cos less than
The ratio of red to blue marbles in a bag is 3:2. If there are 20 total marbles in the bag, how many blue marbles are in the bag?
Answer:
8
Step-by-step explanation:
Let's say there are 3*x red marbles in the bag. As the ratio of red to blue is 3:2, that means that there are 2*x blue marbles in the bag. The total marbles are then
3*x+2*x= 20
= 5x
Divide both sides by 5 to get
x=4
2*x is the amount of blue marbles, and 2*x = 8
can someone help with this question?
what is the opposite of 7
Answer:
-7 is the opposite of 7
Step-by-step explanation:
pls mark brainliest to help rank
What is the total area of the shaded region? Type just the answer in the blank.
Answer:
240cm
Step-by-step explanation:
6cm*14cm= 84cm
6*6=36
84+36=120*2=240
Answer:
7cm x 8cm
Step-by-step explanation:
The 14cm x 12cm box (top 'box 1') intersects with the 14cm x 12cm box (bottom 'box 2').
Half the values of each side are subtracted from one another, so
horizontal length: 14/2 = 7cm
vertical length: 12/2 = 6cm
Box 2 horizontal length (total) = 14cm devided by half the length of box 1 (7cm)
14 - 7 = 7cm
Box 2 vertical length (total) = 12cm devided by half the length of box 1 (6cm)
12 - 6 = 6cm
The total area is calculated by multiplying the horizontal and vertical lengths
7x6 = 42
the answer is 42
ILL BRAINLIEST
Dan bought x grams of sugar. Clare bought 2/5 more than that. Which equation below represents the relationship between the amount of sugar Dan bought, x, and the amount Clare bought, y? *
y = 2/5x
y = 4/5x
Y = x + 2/5x
y = x - 2/5x
Answer: d
Step-by-step explanation:
I made random account i will give brainliest and lots of points just help me with this question if you get it write i will give brainliest if wrong i will give 5 star and heart but get it right please her is pic
order the numbers from least to greatest and then subtract the lowest number from the greatest
ex : 4,6,9,3,7
the lowest number is 3 and the highest is 9 so 9-3 = 6 so for this example the answer is 6.
Use the rules of significant figures to answer the following question:
54.313 × 12.09
A. 657
B. 660
C. 656.64
D. 656.6
whats 10424123^2. yep have fun
Find the slope of the line.
3,2 6,3
Which statement explains one reason why unconfirmities occur