Find the height of the triangle by applying formulas for the area of a triangle and
your knowledge about triangles.
A. 5.8 mm
B. 2.0 mm
OC. 4.4 mm
D. 6.2 mm
Answers
Answer:
Step-by-step explanation:
a= 12 mm ; b = 16 mm ; c = 18 mm
s = (a + b+c)/2
[tex]=\dfrac{12 + 16 + 8}{2}\\\\= \dfrac{36}{2}\\\\= 18\\\\[/tex]
s -a = 18 - 12 = 6 mm
s -b = 18 - 16 = 2 mm
s -c = 18 - 8 = 10 mm
[tex]area = \sqrt{s(s -a)(s-b)(s-c)}[/tex]
[tex]= \sqrt{18*6*2*10}\\\\= \sqrt{2160 }\\\\=46.47\\\\=46 \ mm^{2}\\[/tex]
[tex]\dfrac{1}{2}* \ base * \ height = 46\\\\\dfrac{1}{2}*16* \ height = 46\\\\height = \dfrac{46*2}{16}\\\\[/tex]
= 5.75
Height = 5.8 mm
Answer:
A. 5.8mm
Step-by-step explanation:
[tex]area \: of \: triangle = \sqrt{s(s - a) \times (s - b) \times (s - c)} \\ s = \frac{a + b + c}{2} \\ s = \frac{12 + 8 + 16}{2} \\ s = 18 \\ area \: of \: triangle \: = \sqrt{18(18 - 12) \times (18 - 8) \times (18 - 16)} \\ = \sqrt{2160} \\ = 46.47 {m}^{2} \\ area \: of \: triangle \: = \frac{1}{2} \times base \times height \\ 46.47 = \frac{1}{2} \times 16 \times h \\ h = \frac{46.47}{8} \\ h = 5.8mm[/tex]
Related Questions
the size of a rectangular photo frame 12 11/16 cm by 8 3/4 cm. which of the following gives the product of these dimentions rounded to the nearest whole number of centimeters
A. 12 cm x 8 cm
B. 12 cm x 9 cm
C. 13 cm x 8 cm
D. 13 cm x 9 cm
Answers
Answer:
option D is correct
Step-by-step explanation:
=12 11/16 × 8 3/4
=203/16 × 35/4
=12.6875 × 8.75
After rounding of:
=13 cm × 9 cm.
Hey! If you have any confusion ,ask me any question about it.Thanks
A recipe that can make 8 jumbo blueberry muffins calls for 1 1/2 teaspoons of baking powder. How much baking powder is needed to make 3 dozen jumbo muffins?
Please make it simple
Answers
1 dozen = 12
3 dozen = 3 x 12 = 36
36/8 = 4.5
They need 4.5 times the amount:
4.5 x 1.5 teaspoons = 6.75 teaspoons ( 6 3/4)
2.
If AB = 9x - 2 and BC = 6x + 13,
then BC = ?
A
B
С
Answers
Answer:
AB = 9x - 2BC = 6x + 13Since both have equal length
9x - 2 = 6x + 13
9x - 6x = 13 + 2
3x = 15
x = 15/3
x = 5
Length of BC = 6(5) + 13 = 43 cm
Step-by-step explanation:
Solution,
AB=9x-2
BC=6x+13
Now,
AC=AB+BC
=9x-2+6x+13
=15x+11
does (3,-4) lies on the locus x2+y2=25
Answers
Answer:
Yes
Step-by-step explanation:
Both arguments are squared so the equation are in the form of a circle.
A lotus is a point that is equidistant from some fixed point of a conic section. This is a circle so the fixed point is called a center of the circle.
The center of the circle is equidistant from any point on the circumference of the circle. In order for a point to be on the circle, it must satisfy the circle equation.
[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]
Let plug in what we know
[tex]3 {}^{2} + ( - 4) {}^{2} = {5}^{2} [/tex]
[tex]9 + 16 = {5}^{2} [/tex]
So 3,-4 is on the locus of the circle.
(1-cosx)(1+1/cosx)= sinx tanx
Answers
Answer:
Step-by-step explanation:
[tex](1 - Cos \ x)*(1+\dfrac{1}{Cos \ x})=(1- Cos \ x)* \left(\dfrac{Cos \x }{Cos \ x}+\dfrac{1}{Cos \ x} \right)[/tex]
[tex]= (1-Cos \ x)*\left(\dfrac{Cos \ x + 1}{Cos x}\right)\\\\=\dfrac{(1-Cos \ x)(1+Cos \ x)}{Cos \ x}=\dfrac{1^{2}-Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{1 -Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{Sin^{2} \ x}{Cos \ x}\\\\=Sin \ x * \dfrac{ Sin \ x}{Cos \ x}\\\\[/tex]
= Sin x * Tan x
Hence proved
Marking brainliest
Don’t know what to write for the last 2
Answers
Answer:
Business, management, marketing and technology.
Engineering, manufacturing and industrial technology.
i am not sure but i hope it will help you.
please mark me as brainlest.
Ok guys i need HELP so im new to this school, and there is this boy he is rlly FINE, and i rlly like him, i think he likes me back, but i dont know. so far, i caught him staring at me in class, he complimented my waterbottle, and he trys to keep a coversation going. I play softball, he plays baseball, and he thinks thats cool i play softball, oh and he always begs me to pick him to be on my team for pe class. do u think he likes me? if so how can i make him like me more. and how do i tell him i like him?
Answers
Answer:
girly he probably does and just give subtle signs that you do. if a guy wants to spend more time w u he will try his best to get some time w u if that makes sense.
Step-by-step explanation:
1/4 of a number is 6.What is 50% of that number?
Answers
Answer:28
Step-by-step explanation:
Is the relation {(9, 1), (8, -2), (7, 0), (6, 5)} a function?
Yes or No
Answers
Answer:
Since there is one value of y for every x in the relation above, yes this relation is a function.
I hope this helped you get to your answer, or at least help you out a bit. Thanks and have a great day of learning!
evaluate the function
Answers
Answer:
-16
Step-by-step explanation:
x = -3 is less than -2, so you should use the first equation 5x-1
thus, 5(-3)-1 = -16
Two numbers have an average of 18, and a difference of 10. Form two equations and solve them to find these
two numbers.
Answers
Explanation:
let x and y be the two number.
Where:
(x + y)/2 = 18 => x + y = 18 x 2 = 36
and:
x - y = 10
Thus we get:
x + y = 36 (1)
x - y = 10 (2)
Add (1) and (2):
x + y + x - y = 36 + 10
2x = 46
x = 23
If x = 23
then x - y = 10
23 - y = 10
-y = -13
y = 13
i dont know what to do help its timed
Answers
Answer:
The choose 3.
[tex]f(x) = 0.5(0.2^{x} )[/tex]
f(1)=0.5 (0.2¹) = 0.5×0.2= 0.1
f(2)=0.5(0.2²)=0.5×0.04=0.020
I hope I helped you^_^
what is the answer to 15 and 18? pls help it will mean a lot:)
Answers
Answer and Step-by-step explanation:
15. [tex]-\frac{27}{20}[/tex] or [tex]-1\frac{7}{20}[/tex]
-1.35 = -135/100 = [tex]-1\frac{35}{100}[/tex] (Mixed number)
Multiply the number by 100, then divide the number by 100 (but keep it in fraction form).
-1.35 x 100 = -135
[tex]-\frac{135}{100}[/tex] = [tex]-\frac{27}{20}[/tex]
(Mixed Fraction = . To check, multiply the 20 by the 1, then add 7, to get -27/20)
18. [tex]\frac{49}{11}[/tex] or [tex]4\frac{5}{11}[/tex]
4.45 = 49/11 = [tex]4\frac{5}{11}[/tex]
4.4545.....
Multiply the number by 100 (because there is 2 numbers being repeated.
445.4545....
Now subtract by the original number.
445.4545....
- 4.4545....
441.00
Write this as an equation:
(100 x fraction) - fraction = 441 (100 x fraction) - fraction = 99 x fraction
99 x fraction = 441 (Divide both sides by 99)
fraction = [tex]\frac{441}{99}[/tex] (which simplifies down to [tex]\frac{49}{11}[/tex])
#teamtrees #PAW (Plant And Water)
Can someone help with this !!
Answers
Answer:
[tex]{ \sf{ {(2x - 3)}^{4} }} \\ = { \sf{ {(2x - 3)}^{2} . {(2x - 3)}^{2} }} \\ = { \sf{(4 {x}^{2} - 12x + 9)(4 {x}^{2} - 12x + 9) }} \\ = { \sf{ {16x}^{4} - 48 {x}^{3} + 36 {x}^{2} - 48 {x}^{3} + 144 {x}^{2} - 108x + 48 {x}^{2} - 108x + 81 }} \\ { \sf{ = {16x}^{4} - 96 {x}^{3} + 228 {x}^{2} - 216x + 81 }}[/tex]
help please u can choose more than 1
Answers
Answer:
[tex]\frac{12}{22}[/tex] and [tex]\frac{6}{11}[/tex]
Step-by-step explanation:
Both [tex]\frac{12}{22}[/tex] and [tex]\frac{6}{11}[/tex] are equal to 0.54 as a repeating decimal
I need help please I’m not sure how to do this
Answers
Answer:
This is just simply saying 1 divides by 2 we that is 0.5 in decimal
Hope I helped
Denver is 5,280 ft above sea level. Stone Mountain is 1,686 ft above sea level. How much higher is
Denver than Stone Mountain? Explain how you got your answer.
Answers
Answer:
3,594
Step-by-step explanation:
It is asking *than* which means subtraction. so simply subtract and you get the answer
not hard!
the word THAN always means subtract so we subtract Denver’s height from Stone mountains
The perimeter of a square is 20ft. If you increase the length of the square by 2 ft and decrease the width by 1 foot what is the area in square feet of the new figure
Answers
Answer:
132 square feet
Step-by-step explanation:
7(9) = 9(7)
A) Commutative Property of Multiplication
B) Associative Property of Multiplication
C) Neither
Answers
Answer:
A) Commutative
Step-by-step explanation:
The Associative has to do with re-grouping numbers. There are only two numbers so this does not apply here. Commutative is where you change the order; that's what the equation is demonstrating.
Answer:
The Commutative Property.
Step-by-step explanation:
The commutative property says that when multiplying, you can change the order without changing the answer.
please help me with this ixl i beg you
Answers
Answer:
plot these points on the graph and connect them
Step-by-step explanation:
V(2,0)
T(5,-10)
U(9,-10)
You are making spaghetti for dinner. You have the choice of marinara, alfredo, or meat sauce, 4 different shaped noodles, and 2 kinds of cheese. How many different spaghetti dinners can you make?
Answers
Answer:
DCC
Step-by-step explanation:
CDDCDC
Different type of spaghetti dinners is 8
What is combination ?
"The number of possible arrangements in a collection of items where the order does not matter."
For 4 different shaped of noodles = ⁴c₁
⁴c₁ = 4
For two kinds of cheese = ²c₁
²c₁ = 2
Now , multiplying these 4×2 = 8
Hence, 8 type of spaghetti dinners
For more about combination
https://brainly.com/question/21306575
#SPJ2
How many solutions are there to the equation below?
9x + 16 = 4x
A. infinitely many
B. 1
C. 0
Answers
Step-by-step explanation:
Infinitely many solutions are there....
hope it helps
find the numerical cofficient and literal cofficient in 7xy
Answers
[tex]numerical \: coefficient \: = > 7 \\ \\ literal \: coefficient \: = > \: xy[/tex]
hope that helps uh..☺
if x=2,y=3 and z=4 find yz÷x 10x+7xz
Answers
3x4➗2x10x2+7x3x4
and now we follow bedmas:
Brackets
Exponents
Divide
Multiply
Add
Subtract
first we do the division
3x2x10x2+7x3x4
now all the multiplication
120+7x3x4
120+84
now the addition
120+84= 204
there is no subtraction
THE ANSWER IS 204
Verbal expression x to the third power times y to the 4th power???
Answers
Step-by-step explanation:
First;
x to third power=x³
y to 4th power=y⁴
According to condition:
expression=x³ × y⁴
=x³y⁴
Find the value of (625)1/4 i want the answer fast please
Answers
Answer:
625 =5⁴
so ( (5)⁴)^1/4
that is 5
pls follow me
A survey was conducted to see which of four major sports American college students prefer to watch: baseball, basketball, football, or soccer. Of those
surveyed, 53% said they prefer football, 26% chose basketball, and 15% preferred baseball. Ifthere were 1,000 American college students in a room, hov-
many would you expect to prefer soccer?
9.10
B
D
6
Answers
There are 60 students that prefer soccer
The first step is to determine the percentage of students that prefer soccer The percentage of students that prefer soccer = 100 - (53% + 26% + 15% ) = 6%
6% of the students surveyed prefer soccer
The second step is to determine the number of students that prefer soccer
Number of students that prefer soccer = (percentage of students that prefer soccer / 100) x total number of students surveyed
[tex]\frac{6}{100}[/tex] × 1000 = 60 students
A similar question was solved here : https://brainly.com/question/2371435?referrer=searchResults
d) The shadow of a vertical tower on a level ground increases by 10m, when the altitude of sum changes from angle of elevation 45° to 30°. Find the height of the towe correct to one place of decimal. (Take root 3 = 1.732)
Help As soon as possible please with picture please
Answers
Answer:
Below.
Step-by-step explanation:
I cant draw you a picture but it will be one right triangle inside the other where the vertical tower will be one leg common to 2 triangles and the base of the 2 triangles will be x and x+10 metres.
Tan 30 = h/ (x + 10)
tan 45 = h/x where h is the height of the tower.
From the second equation x = h / tan45
Substituting in the first equation;
tan30 = h / (h/tan45 + 10
Tan 30 = 1/ √3 and tan 45 = 1 so
1/ 1.732 = h/ (h + 10)
0.5774 = h/(h + 10)
h = 0.5774h + 57.74
0.4226 h = 57.74
h = 136.6 m to nearest tenth.
PLEASE PLEASE TRANSLATING A SENTENCE INTO AN EQUATION
The difference of Jose's age and 21 is 58
Use the variable j to represent Jose's age.
Answers
Answer:
j - 21 = 58
Step-by-step explanation:
happy to help if you have any others i can help you
Answer:
j - 21 = 58
Step-by-step explanation:
Find the circumference of a circle if the area of the circle is 256 π in².
Answers
Answer:
32π in
= 100.48 in.
Step-by-step explanation:
From Area:
radius, r = √(A/π)
= √(256 π in²/π)
= 16 in
where π = 3.14
》 Circumference = 2π(r)
= 2π(16)
= 32π in.
= 100.48 in