Answer:
should be 42
Step-by-step explanation:
Hello people ~
The diagonals of a rhombus are 16 cm and 12 cm, in length. The side of rhombus in length is:
(a) 20 cm
(b) 8 cm
(c) 10 cm
(d) 9 cm
Answer:
(c) [tex]\displaystyle 10\:cm.[/tex]
Step-by-step explanation:
Split each diagonal in half and use the Pythagorean Theorem:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 6^2 = c^2 \hookrightarrow 64 + 36 = c^2 \hookrightarrow \sqrt{100} = \sqrt{c^2} \\ \\ \boxed{10 = c}[/tex]
I am joyous to assist you at any time.
Diagonals of a rhombus are perpendicular to each other .
Perpendicular=P=16/2=8Base=B=12/2=6We need Side
Hypotenuse=HUse Pythagorean theorem
[tex]\\ \rm\rightarrowtail H^2=P^2+B^2[/tex]
[tex]\\ \rm\rightarrowtail H^2=6^2+8^2[/tex]
[tex]\\ \rm\rightarrowtail H^2=10^2[/tex]
[tex]\\ \rm\rightarrowtail H=10cm[/tex]
The height of a building in a drawing is 15 inches if the actual height of the building is 165 feet find the scale factor of the Drawing
Answer:
The scale is 11 feet per one inch.
Step-by-step explanation:
[tex]\frac{165feet}{15inches} = 11feet / inch[/tex]
Solve each equation.
5/6x = 35
A. 42
B. 29.16 (continued)
C. 35 5/6
D. 36
[ Please help me!! :( ]
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
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The answer is A.42Solution:[tex] \frac{5}{6}x = 35[/tex]
[tex]x=35\times \left(\frac{6}{5}\right) [/tex]
[tex]x=\frac{35\times 6}{5} [/tex]
[tex]x=\frac{35\times 6}{5} [/tex]
[tex]x=\frac{210}{5} [/tex]
[tex]x=42 [/tex]
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Step-by-step explanation:
#Carry on learning
The sum of one third of a number and 2 1/3 is 9 find number
Answer:
20
Step-by-step explanation:
The given relation can be written as the 2-step linear equation ...
(1/3)n +2 1/3 = 9
n +7 = 27 . . . . . . . . . step 1: multipy by 3 (makes the coefficient = 1)
n = 20 . . . . . . . . . . . step 2: subtract 7 (separates variable from constant)
The number is 20.
_____
Additional comment
Usually it is convenient to do the two steps in the opposite order: get the variable term by itself, then make its coefficient 1. Here, we chose the order we did because it eliminated fractions from the problem, which is often a step you'd like to do first.
How do you write 1.27 repeating as a fraction
btw the repeating part is 7
Answer:
1 27/100
Step-by-step explanation:
The cheetah is the fastest land animal in the world. During a sprint, the number of feet a cheetah runs y varies directly with the amount of time in seconds x as shown in the table. Write and solve a direct variation equation to determine how far the cheetah can run in 5.5 seconds.
Step-by-step explanation:
[tex] \hookrightarrow \sf y = kx [/tex]
[tex] \sf where \: k \: is \: constant[/tex]
[tex] \sf \: k = \frac{y}{x} [/tex]
[tex] \hookrightarrow \sf \: k = \frac{y}{5.5} [/tex]
Equation = [tex] \sf \: k = \frac{y}{5.5} [/tex]
In a student union election of a school, 91% of boys and 84% of girls voted. It is kwon
Answer:
If there are 350 kids for example your answers would be:
Boys: 182
Girls: 168
Step-by-step explanation:
If you add those numbers together you'll get 350 again
Sebastian bought a 30-pack of mechanical pencils and plans to give the same number of pencils each to 6 friends. Which equation can he use to find p, the number of pencils each friend will receive? p 6 = 30 p minus 6 = 30 6 p = 30 StartFraction p Over 6 EndFraction = 30.
The equation, that Sebastian can use to find p, the number of pencils each friend will receive is given by: Option C: 6p = 30
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we're given that:
Sebastian has 30 pencilsSebastian will distribute p pencils to each of his 6 friends.Now, that means, if we collect all those p pencils, then they should be 30 in count.
Sum of pencils from 6 friends = p + p + p + p + p + p = 30
or
[tex]6 \times p = 30[/tex] (since p was added 6 times itself, so we write it as 6 times p)
we don't write the "×" sign, (Using sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together) Thus, the equation is 6p = 30 (well both equations are same).
Thus, the equation, that Sebastian can use to find p, the number of pencils each friend will receive is given by: Option C: 6p = 30
Learn more about forming equations here:
https://brainly.com/question/11938672
Answer:C
Step-by-step explanation:
The area of a square is (9a2 − 24a + 16) square units. determine the length of each side of the square by factoring the area expression completely. show your work.
What is 9 5/9-2 5/27?
Answer:
[tex]=7\frac{10}{27}[/tex]
Decimal: 7.37
Step-by-step explanation:
[tex]9\frac{5}{9} -2\frac{5}{27} =\frac{81+5}{9} -\frac{54+5}{27} =\frac{86}{9} -\frac{59}{27}[/tex]
[tex]\frac{258}{27} -\frac{59}{27} =\frac{199}{27}[/tex]
[tex]=7\frac{10}{27}[/tex]
Hope this helps
In the diagram below,EF is parallel to BC. IF BC is the twice length of ED,BD=36 and EF=14, find the length of ED. Figure are not necessary drawn to scale. State your answer in simplest ratio form if necessary.
Answer: sqrt(182)
Step-by-step explanation:
which of the following fractions is NOT equivalent to the others?
A. 24/36
B. 8/12
C. 12/16
D. 4/6
Answer:
C
Step-by-step explanation:
Just simplify each possible answer by dividing by the lowest common factor, and find the odd one out.
A. 24/36 = 2/3 (LCF of 12)
B. 8/12 = 2/3 (LCF of 4)
C. 12/16 = 3/4 (LCF of 4)
D. 4/6 = 2/3 (LCF of 2)
Answer:
C
Step-by-step explanation:
if you convert all of the fractions into decimal form the only answer that is not .6667 is c
A circle has (-1, -1) and (-25,-11) as endpoints of a diameter.
Find the center and radius of the circle.
Write the standard equation of the circle.
well, since we know the diameter points, half-way in between is the center
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-25}~,~\stackrel{y_2}{-11}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -25 -1}{2}~~~ ,~~~ \cfrac{ -11 -1}{2} \right)\implies \left(\cfrac{-26}{2}~~,~~\cfrac{-12}{2} \right)\implies (-13~~,~~-6)[/tex]
and its radius will be half the length of the diameter
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-25}~,~\stackrel{y_2}{-11})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-25 - (-1)]^2 + [-11 - (-1)]^2}\implies d=\sqrt{(-25+1)^2+(-11+1)^2} \\\\\\ d=\sqrt{(-24)^2+(-10)^2}\implies d=\sqrt{676}\implies d=26~\hfill \stackrel{half~that}{r=13}[/tex]
[tex]\rule{34em}{0.25pt}\\\\ \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-13}{ h},\stackrel{-6}{ k})\qquad \qquad radius=\stackrel{13}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-(-13)]^2~~ + ~~[y-(-6)]^2~~ = ~~13^2\implies (x+13)^2~~ + ~~(y+6)^2~~ = ~~169[/tex]
A straw is placed inside a rectangular box that is 3 inches by 6 inches by 8 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.
The straw is placed diagonally in the rectangular prism, therefore, the length of the straw is √109 inches
How to find the diagonal of a rectangular prism?
Diagonal of a rectangular prism = √(l² + w² + h²)
Where,
l = lengthw = widthh = heightTherefore,
l = 6 inches
w = 3 inches
h = 8 inches
diagonal = √(6² + 3² + 8²)
diagonal = √36 + 9 + 64
diagonal = √109 inches
learn more rectangular prism here:https://brainly.com/question/21888893
pls help. it’s due tomorrow.
Answer:
the rest aren't wholly visible;like the signs under the letters
Step-by-step explanation:
11, 15, 19, 23, 27intervals of +4
18, 13, 8, 3, -2intervals of -5
solve pls brainliest
Answer:
2/5 > 1/4
Step-by-step explanation:
First convert the denominators to the LCM which will be 20
2/5 will convert to 8/20 because 5 x 4 = 20 so 2 x 4 = 8 and 1/4 will convert to 5/20 because 4 x 5 = 20 so 1 x 5 = 5
Ava buys 3.5 pounds of strawberries for $2.99 per pound. How much does she spend?
Answer:
10.50$
Step-by-step explanation:
3 dollars a pound
3x3=9
half a pound, half the price which is 1.50$
9+1.50= 10.50
Answer:
$10.465 ≈ $10.47
Step-by-step explanation:
3.5 lb of strawberries * $2.99/lb of strawberries = $10.465 ≈ $10.47
Please mark as brainliest.
I need this for a geometry assignment........please help
All three are similar
In ∆SUT and ∆VWX
Two sides are similar and one angle is similarSo by SSA they are similar
In ∆PRQ and rest two
All angles are.
80,80,20°So
They are similar by AAA congruence
Find the surface area
8in
3in
6in
Answer:
Area of a Rectangular prism is
A = 2lh + 2lw + 2hw
Step-by-step explanation:
See picture above
A bird drops of stick to the ground from a height of 95 ft. The function h= 16t^2+95 gives the sticks approximate height h above the ground, in feet, feet r seconds. At above what time does the stick hit the ground
Answer:
2.44 seconds (above 2 seconds)Step-by-step explanation:
When the stick hits the ground it has the height of zero.
Substitute h with 0 and solve the given equation for t:
[tex]- 16t^2 + 95 = 0\\16t^2 = 95\\t^2 = 95/16\\t = \sqrt{5.93} \\t=2.44[/tex]
Which is a better price: 5 for $1.00, 4 for 85¢, 2 for 25¢, or 6 for $1.10?
Answer:
2 for 25
Step-by-step explanation:
all you have to do is divide money by the number of items.
Order Least to greatest
31/4 , 7.47, 7.706, 7 7/10
Answer:
Okay ordering them from least to greatest would be 7.47, 7.70, 7.706, and then 7.75.
Step-by-step explanation:
31/4 can also be simplified into 7.75
7.47 stays the same
so does 7.706
and 7 7/10 can be simplified into 7.70
So the order would be 7.47, 7.70, 7.706, and then 7.75.
An equation of a line through (1, 1) which is parallel to the line y = − 4 x 3 has slope:
Step-by-step explanation:
slope -4
equation of line = (y-y1)=m(x-x1)
eq. = (y-1)= -4(x-1)
y-1=-4x+4
4x+y=5slope of this line is -4x
MARK ME AS BRAINLISTIf y = 35 when x = 140, what is the value of y when x = 70?
Answer:
17.5
Step-by-step explanation:
x and y are in the ratio: 1 : 4
which means that if y is 35 x is 4 times y equating to 140
hence if x is 70 then y is 17.5
solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)
Answer:
[tex]\boxed{\sf{y=-5 \quad x=-18}}[/tex]Step-by-step explanation:
The terms x and y must be substituted to isolate one side of the equation.
y=5/6x+10 and -x+6y=-12First, you have to substitute by the y=5/6x+10.
[tex]\sf{-x+6\left(\dfrac{5}{6}x+10\right)=-12}[/tex]
Solve.
[tex]\sf{4x+60=-12}[/tex]
Subtract by 60 from both sides.
4x+60-60=-12-60
Solve.
4x=-72
Divide by 4 from both sides.
4x/4=-72/4
Solve.
Divide the numbers from left to right.
-72/4=-18
x=-18
Substitute: x=-18
[tex]\sf{y=\dfrac{5}{6}\left(-18\right)+10}[/tex]
Solve.
y=5/6(-18)+10=-5
y=-5
Therefore, the solution is y=-5 and x=-18, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
A triangle has two sides of length 19 and 19. What is the largest possible whole-number length for the third side?
Answer: 37
To maximize the length of the third side, which I'll call x, it needs to be the longest side.
So by the triangle inequality theorem, 19+19>x, meaning the maximum whole number value of x is 37.
1. Find the common ratio of the geometric sequence
6, 30, 150, 750, ....
Answer:
Each number multiplies by 5
Step-by-step explanation:
6x5 = 30
30 x 5 = 150
150 x 5 = 750 etc.
What is 9 to the of 3
Answer:
729
Step-by-step explanation:
help. list all possible answers
Solve:
[tex] \frac{6x + 1}{3} + 1 = \frac{x - 3}{6} [/tex]
→ Don't plagiarism
→ Perfect answer needed.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{6x + 1}{3} + 1 = \dfrac{x - 3}{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{6x + 1}{3} - \dfrac{x - 3}{6} =- 1[/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{12x + 2 - x + 3}{6} =- 1[/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{11x + 5}{6} =- 1[/tex]
[tex]\qquad \sf \dashrightarrow \: {11x + 5}{} =- 6[/tex]
[tex]\qquad \sf \dashrightarrow \: 11x = -6 - 5[/tex]
[tex]\qquad \sf \dashrightarrow \: x = -1 [/tex]
Step-by-step explanation:
[tex] \frac{6x + 1}{3} + 1 = \frac{x - 3}{6} \\ \frac{6x + 1 + 3}{3} = \frac{x - 3}{6} \\ 6( 6x + 4) = 3(x - 3) \\ 36x + 24 = 3x - 9 \\ 36x - 3x = - 9 - 24 \\ 33x = - 33 \\ x = - 1[/tex]