Answer:
Area = 1/2 × product of diagonalsso area = 1/2 × 30 ×16 = 240 cm²
also diagonals bisect each other at right angles so 1/2×30= 15cm,, 1/2× 16 = 8cm
therefore by pythagoras theorem,
[tex] {15 }^{2} [/tex]+ [tex]{8}^{2} [/tex]= [tex] {side}^{2} [/tex][tex] \sqrt{289 = side} [/tex]
side = 17
Perimeter = 4×17 =68 cm.
Answer:
Step-by-step explanation:
[tex]\large \boldsymbol {} \tt Formulas : \\\\d_1^2+d_2^2=4a^2 \\\\S=\dfrac{1}{2} d_1d_2 \\\\ \ where \ S \ is \ the \ area \ of \ the \ rhombus \ ;\\\\\ and \ d_1 \ and \ d_2 \ are \ its \ diagonals \ ; \ and \ a \ , \\\\\\ respectively, \ is\ the \ side \ of\ the rhombus \\\\ then : \\\\ 4a^2=16^2+30^2 \\\\ 4a^2=1156 \\\\a^2=289 \\\\a=17 \ \ then \ P=4a=17*4=\boldsymbol {68} \\\\ \tt S=\dfrac{1}{2} \cdot 30 \cdot 16 =\boldsymbol {240 } \\\\ Answer : S=240 \ ; a=17 \ ; \ P=68 \ ;[/tex]
Is 9.2 a rational number or irrational explain with steps please
Answer:
Step-by-step explanation:
It is rational because it doesn't have infinite decimals
Which inequality represents all values of x for which the quotient below is
defined?
28(x-1) = 8x?
O A. x less than or equal to -1
B.x great than or equal to 1
O C. x> 1
O D. x<-1
You can re-write this quotient this way :
[tex]\frac{\sqrt{28(x-1)}}{\sqrt{8x^{2} }} = \sqrt{ \frac{28(x-1)}{8x^{2} } }\\[/tex]
What's inside the square root must be greater than or equal to 0, because the domain of the square root function is defined on R+ (which is [0,+∞))
In other word we must find x so that :
[tex]\frac{28(x-1)}{8x^{2}}\geq 0[/tex]
at the end we get
28(x-1) ≥ 0
28x - 28 ≥ 0
28x ≥ 28
x ≥ 1
So the answer is B, x ≥ 1
Choose a variable to isolate and what it is equal to in the system of equations below
Answer:
y=2x-3
Step-by-step explanation:
2x=y+3
2x-3=y
Indicate whether each equation is equivalent to this equation: 4x + 3 = 5/2x - 7
A. 4x = 5/2x - 4
B. 8x + 3 = 5x - 7
C. 4x = 5/2x - 10
Answer:y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina
Step-by-step explanation:
(NEED HELP PLS ANSWER GIVING 100 POINTS) Following my question of "If a student didn't turn an assignment in on the 27th of august, and the teacher deducted 10 percent each day. How much credit would they get if they turned it in on the 1st of September?" If the students current grade was a 41 F how higher would it get if they turned it in ( worth 40% of grade)
Answer: The student would get 70% credit.
The student’s overall grade would be
Step-by-step explanation:
Write as a decimal:
Explain...
1 7/12
Answer:
1 7/12 = 1.58
Step-by-step explanation:
If you divide 7 by 12, you will get 0.583... If you add 1 in the ones, that'll be
1.583... or 1.58.
HELP DUE IN 10 MINS!
Solve for x.
7/x - 5 = 5/x + 7
[tex]\\ \sf\longmapsto \dfrac{7}{x-5}=\dfrac{5}{x+7}[/tex]
[tex]\\ \sf\longmapsto 7(x+7)=5(x-5)[/tex]
[tex]\\ \sf\longmapsto 7x+49=5x-25[/tex]
[tex]\\ \sf\longmapsto 7x-5x=-25-49[/tex]
[tex]\\ \sf\longmapsto 2x=-74[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-74}{2}[/tex]
[tex]\\ \sf\longmapsto x=-37[/tex]
The total amount of milk in a jug and a mug is T liters. If p ml of milk is taken from the mug to make pancakes, the amount of milk left in the mug will be half as much as that in the jug. Write an expression for the amount of milk, in liters, in the jug. Evaluate the expression if T = 2.5 and p = 250.
Answer:
Apart from PB&J and oatmeal, pancakes are the most popular (and best) breakfast meal. They’re nutritious, yummy and can be served with both salty and sweet flavors. But are they easy to make? The recipe may be simple, but there are many things we need to consider.
Step-by-step explanation:
-3x-7(x+4) what is the answer
Answer:
-10x-28
Step-by-step explanation:
-
Your job is 7.5 miles from home. One option is to take the back roads to work. That route is calculated for driving at an average speed of 30 miles per hour. How long will it take you to get to work this way?
Step-by-step explanation:
So if you are 7 and a half miles away, and you drive 30 miles per hour, you need to take 7.5 and divide it by it by 30 and you get 0.25, you then need to find what is a quarter (0.25) of 60 minutes, and you will find that it is 15 minutes.
So:
Answer:
The route will take 15 minutes to get to work taking the back roads.
Hope this helps!
Find the distance between the points.
(3,3) and (3,-5)
Answer:
0, 8
Step-by-step explanation:
To find out a distance of these numbers, you shall find out how far each number is, preferably you can use a number line for this.
the fraction '' 20/40'' is the same as ___+____ which reduces to__
Step-by-step explanation:
20/40 is same as 20÷40 which reduces to 1/2.
The temperature outside changed from 91°F to 49°F over a period of six days. If the temperature changed by the same amount each day, what was the daily temperature change?
Answer:
Step-by-step explanation:
The temperature change in 6 days is 91 - 49 = 42 F
So the daily change is 42/6 = 7 F.
The mZ3=12x-30 and mZ1=8x-6. Find the value of x.
Nine less than a number is -24.
Find the number.
number the resu
Answer:
-15
Step-by-step explanation:
the number is N
N - 9 = -24
N = -15
Answer:
the answer is 33
Step-by-step explanation:
-24 + 9 = -33
You have cup of cocoa in your cupboard. A recipe for cookies calls for 1
cup of cocoa. How much cocoa would you have left if you made the cookies?
Answer:
None
Step-by-step explanation:
sorry don't know how to delete this
Hi! I'm happy to help!
The recipe calls for 1/4 of a cup of cocoa, and we have 5/6 of a cup.
We use subtraction to solve for the difference:
5/6-1/4
To solve for this, we need to find a common denominator. We do this by finding the least common multiple of the two denominators we already have.
The least common multiple is 12, because that is the lowest number that both 6 and 4 are factors of.
We multiplied the 6 by 2 to get twelve, so, to make it equivalent, we have to multiply the 5 by 2 also.
10/12-1/4
Now, since we multiplied the 4 by 3 to get twelve, we need to do the same to the 1.
10/12-3/12
You never subtract denominators, only numerators. Now, all we have to do is 10-3:
10/12-3/12=
7/12
So, you would have 7/12 cup of cocoa left over if you made the cookies.
I hope this was helpful, keep learning! :D
PLSSSSSSSSSSSSSSSSs Help me i have to send this to my math teacher before yk back to school starts
Q/ True or False
4. Ans ; False —> because
[tex] \frac{2 \times 3.5}{3 \times 3.5} = \frac{7}{10.5} [/tex]
Or; 2/3= 0.6 , 7/16= 0.43 so no equal
5. True —> because
[tex] \frac{5 \times 9.6}{15 \times 9.6} = \frac{48}{144} [/tex]
Or; 5/15=0.33 , 48/144 = 0.33 so equal
6. True —> because
[tex] \frac{12 \times 1.5}{28 \times 1.5} = \frac{18}{42} [/tex]
Or; 12/28=0.4285 , 18/42=0.4285 so equal
Q/ value " x "
7. Ans;
[tex] \frac{3}{6} = \frac{x}{8} \\ 6x = 8 \times 3 \\ 6x = 24 \\ x = \frac{24}{6} \\ x = 4[/tex]
8. Ans;
[tex] \frac{52}{x} = \frac{4}{1} \\ 4x = 52 \\ x = \frac{52}{4} \\ x = 13[/tex]
9. Ans;
[tex] \frac{15}{12} = \frac{10}{x} \\ 15x = 10 \times 12 \\ 15x = 120 \\ x = \frac{120}{15} \\ x = 8[/tex]
10. Ans;
[tex] \frac{18}{x} = \frac{2.4}{28} \\ 2.4x = 28 \times 18 \\ 2.4x = 504 \\ x = \frac{504}{2.4} \\ x = 210[/tex]
11.Ans;
[tex] \frac{3}{4} = \frac{x}{3.8} \\ 4x = 3.8 \times 3 \\ 4x = 11.4 \\ x = \frac{11.4}{4} \\ x = 2.85[/tex]
12. Ans;
[tex] \frac{x}{12} = \frac{2 \frac{1}{3} }{5} \\ \frac{x}{12} = \frac{ \frac{7}{3} }{5} \\ \\ \frac{x}{12} = \frac{7}{3} \div 5 \\ \\ \frac{x}{12} = \frac{7}{3} \times \frac{1}{5} \\ \\ \frac{x}{12} = \frac{7}{15} \\ \\ 15x = 12 \times 7 \\ 15x = 84 \\ \\ x = \frac{84}{15} \\ \\ x = 5.6[/tex]
Q/ Write each ratio
1.Ans;
[tex] \frac{30 \: ft}{60 \: ft} = \frac{30 \: ft \: \: \div 30}{60 \: ft \: \: \div 30} = \frac{1 \: ft}{2 \: ft} [/tex]
2. Ans;
[tex] \frac{45 \: mph}{25 \: mph} = \frac{45 \: mph \: \div }{25 \: mph \div 5} = \frac{4 \: mph}{5 \: mph} [/tex]
3. Ans;
[tex] \frac{6 \: min}{16 \: min} = \frac{6 \: min \: \div2 }{16 \: min \: \div 2} = \frac{3 \: min}{8 \: min} [/tex]
4. Ans;
[tex] \frac{300}{450} = \frac{300 \div 150}{450 \div 150} = \frac{2}{3} [/tex]
5. Ans;
[tex] \frac{48 \: gal}{14 \: min} = \frac{48 \: gal \div 2}{14 \: min \div 2} = \frac{24 \: gal}{7 \: min} [/tex]
6. Ans;
[tex] \frac{21 \: fem}{61 \:mal } = \frac{21 \: fem \div 3}{51 \:mal \div 3} = \frac{7 \: fem}{17 \: mal} [/tex]
7. Ans;
[tex] \frac{4.2}{36} = \frac{4.2 \div 12}{36 \div 12 \: pot} = \frac{0.35}{3 \: pot} [/tex]
8. Ans;
[tex] \frac{72 \: correct}{96 \: questions} = \frac{72 \: correct \div 24}{96 \: questions \div 24} = \frac{3 \: correct}{4 \: questions} [/tex]
Q/Find the unit rate
9.Ans;
[tex] \frac{1500 \: m}{6 \: s} = \frac{250 \: m}{1 \: s} [/tex]
10. Ans;
[tex] \frac{192 \: mil}{6 \: gal} = \frac{32 \: min}{1gal} [/tex]
11. Ans;
[tex] \frac{20 \: people}{5 \: cars} = \frac{4 \: people}{1 \: cars}[/tex]
12.Ans;
[tex] \frac{36}{4 \: lbs} = \frac{9}{1 \: lbs} [/tex]
I hope I helped you^_^
One fifth of the square of a number. Equation
Answer:
[tex] = \frac{1}{5} {x}^{2} [/tex]
-all my digits are different
-my ones digit is 4 times my hundreds digit
- my thousands digit is a perfect square
-my ones digit is 3 more than my tens digit
what number am I?
all my digits are different
-my ones digit is 4 times my hundreds digit
- my thousands digit is a perfect square
-my ones digit is 3 more than my tens digit
what number am I?
ASAP I need Answer .......
Answer:
[tex]auphy = (6 \: 9 \: 11) \\ ainter \: section \: phy = null \: set \\ thank \: you[/tex]
please someone answer please I will give brainliest
Answer:
fig 1 no
Step-by-step explanation:
cause one element of domain (a) has two element. on range
Answer
fig 1 no
Step-by-step explanation:
cause one element of domain (a) has two element. on range.
Plzzz at least hit thanks ??
what are the answers to these questions algebra 1
Answer:
Step-by-step explanation:
1: x=5
2: x=2
3: x = 3
4: x=5
5: x=3
6: x=4
7: x=37
b+1/4=3/4 how do i answer this
Answer:
B=2/4
Step-by-step explanation:
Its very simple. 3/4-1/4=2/4.
Answer:
[tex]b=\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the difference
[tex]b=\frac{3}{4}-\frac{1}{4}[/tex]
Solution
[tex]b=\frac{1}{2}[/tex]
Simplify the expression and write the result in standard form, a+bi
3 √-25 =
Answer:
[tex]3 + \sqrt{ - 25} = 3 + \sqrt{25} i\\ = 3 + 5i \\or \: \\ 3 \sqrt{ - 25} \\ = 3 \times 5i = 15i \\ thank \: you \\ [/tex]
The indoor climbing gym is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 3 vans and 12 buses with 504 students. High School B rented and filled 2 vans and 4 buses with 184 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
High school A: 3 vans + 12 buses = 504 students
High school B: 2 vans + 4 buses = 184 students
Multiply High school B by 1.5:
High school B: 3 vans + 6 buses = 276 students
Subtract High school B from High School A:
6 buses = 228 students
Divide students by buses:
Buses = 228 / 6 = 38 students per bus
Now solve for vans using high school A:
3 vans + 12(38 students per bus) = 504 students
Simplify:
3 vans + 456 students in buses = 504 students
Subtract students in buses from both sides:
3 vans = 48
Divide both sides by 3:
Vans = 16
Answer: vans = 16 students, buses = 38 students
Solve: 3/2 ( 7x - 9 ) = 60
296 divide by 0.08 whats the answer plz answer, and show me how you did it plz
Answer:
Step-by-step explanation:
Ok so u can’t divide a decimal with a whole number so u have to move the decimal poin from the 8 twice so it’s on the other side of the 8 and then there shouldn’t be any zeros before the 8 now divide 296 by 8 and instead of leaving the whole number like that u have to add the decimal point to it. So it should look like this 296.00 and then u can divide which is 3,700 hope this helped <3
if 5t=5 then t is what number
Answer:
1
Step-by-step explanation:
5t = 5
divide equation by 5 to get rid of it
t = 1
This is because 5t means "5 times t". The t is a placeholder for a number.
To solve for t, we divide both sides by 5
5t = 5
5t/5 = 5/5
t = 1
Note how 5t = 5 becomes 5*1 = 5 after replacing t with 1. Because 5*1 = 5 is a true statement, this helps confirm we have the correct answer.
[tex]\sqrt{60} /\sqrt{5} (in radical form)[/tex]
[tex]2\sqrt{3}[/tex]
------------------------
Steps:
1st write out equation
[tex]\frac{\sqrt{60}}{\sqrt{5}} \\[/tex]
Second write the conjugant and multiply it.
[tex]\frac{\sqrt{60}}{\sqrt{5}} * \frac{\sqrt{5} }{\sqrt{5} }[/tex]
After multiplying you should get,
[tex]\frac{10\sqrt{3}}{5}[/tex]
now after simplifying you should get
[tex]2\sqrt{3}[/tex]
12−6=7+9
12
x
−
6
=
7
x
+
9
Answer:
calcula
Step-by-step explanation:
