1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Brut [27]
3 years ago
12

P- (9-(m + q)); use m=4, p=5, and q=3

Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0

Answer:

3

Step-by-step explanation:

p-(9-(m+q))

5-(9-(4+3))

=5-(9-7)

=5-2

=3

You might be interested in
Given $a \equiv 1 \pmod{7}$, $b \equiv 2 \pmod{7}$, and $c \equiv 6 \pmod{7}$, what is the remainder when $a^{81} b^{91} c^{27}$
Blizzard [7]
\begin{cases}a\equiv1\pmod7\\b\equiv2\pmod7\\c\equiv6\pmod7\end{cases}

a^{81}\equiv1^{81}\equiv1\pmod7

b^{91}\equiv2^{91}\pmod7

2^{91}\equiv(2^3)^{30}\times2^1\equiv8^{30}\times2\pmod7
8\equiv1\pmod7
2\equiv2\pmod7
\implies2^{91}\equiv1^{30}\times2\equiv2\pmod7

c^{27}\equiv6^{27}\pmod7

6^{27}\equiv(-1)^{27}\equiv-1\equiv6\pmod7

\implies a^{81}b^{91}c^{27}\equiv1\times2\times6\equiv12\equiv5\pmod7
6 0
3 years ago
Find the area of the trapezoid below to the nearest tenth.
kondor19780726 [428]

Answer:

Area of trapezoid = 67.6 square units

Step-by-step explanation:

Area of a trapezoid is given by the expression,

Area of the trapezoid = \frac{1}{2}(b_1+b_2)h

Here, b_1 and b_2 are the parallel sides of the given trapezoid.

And 'h' = Height between the parallel sides

From the given triangle ABE,

m(∠ABE) = m(∠ABC) - m(∠EBC)

m(∠ABE) = 120° - 90°

               = 30°

By applying cosine rule in the given triangle,

cos(30°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{\sqrt{3} }{2}=\frac{BE}{AB}

\frac{\sqrt{3} }{2}=\frac{BE}{6}

BE = 3\sqrt{3} units

By applying sine rule in ΔABE,

sin(30°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

\frac{1}{2}=\frac{AE}{AB}

\frac{1}{2}=\frac{AE}{6}

AE = 3 units

Length of b_1=BC=10

Length of b_2=AD=(AE+EF+FD) [AE = FD, since given trapezoid ABCD is an isosceles trapezoid]

                b_2=3+10+3

                b_2=16

Height between the parallel sides h=3\sqrt{3}

Area of the trapezoid = \frac{1}{2}(BC+AD)BE

                                    = \frac{1}{2}(10+16)(3\sqrt{3})

                                    = 39\sqrt{3}

                                    = 67.6 square units

8 0
3 years ago
Below are two different functions, f(x) and g(x). What can be determined about their slopes? F(x)= 3x ? 3 The function g of x go
julsineya [31]
The slope of g(x) would be 5-2/1-0=3
they have the same slope
3 0
4 years ago
at noon aretha can watch a football game basketball game or a documentary about horses on tv.at 3:00,she can watch different foo
kap26 [50]
Hello, well because she has three options at noon and three options at 3:00, you multiply 3*3 which is 9. So there are 9 possible outcomes. You can also create a chart to show this;

Football
-football
-movie
-concert

Basketball
-football
-movie
-concert

Documentary
-football
-movie
-concert

Hope this helps :)
8 0
3 years ago
Jenny read 150 pages of a book in 5 hours. Which rate is proportional to the rate at which Jenny read?
erik [133]

Answer:

she would have read 30 pages per hour

Step-by-step explanation:

hope this helps

5 0
3 years ago
Other questions:
  • How many constants can a polynomial have? Explain your answer
    7·1 answer
  • Write 63 as a sum of tens and ones
    15·2 answers
  • Which is the best estimate for the sum 3/8 and 1/12
    9·2 answers
  • Dean and Tara are photographers. They take pictures of seniors for high school yearbooks. They charge a standard fee for taking
    12·1 answer
  • What is the square root of 2 (the square root as a fraction)
    15·1 answer
  • Please help me. <br> What is 22% of 400?
    15·2 answers
  • There were m boys and n girls in a parade . Each person carried 2 balloons which of these experssions represemt the total number
    9·1 answer
  • The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in
    13·1 answer
  • A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An it
    15·1 answer
  • Sam goes to a restaurant to but a burger along with a drink.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!