Answer:
-2x < 23-7
-2x < 16
-2x÷-2 < 16 ÷ -2
x > -8
A container is shaped like a triangular prism. The height of the container is 15 centimeters, and the volume of the container is 180 cubic centimeters. What is the area of the base of the container in square centimeters?
a. 10 cm2
b. 12 cm2
c. 18 cm2
d. 20 cm2
3. Find m2ABC.
(2x+14)
(x+7)°
Answer:
Step-by-step explanation:
What is the value of x?
42
21
19
38
Answer:
21.
Step-by-step explanation:
Angles subtended by the same arc on the circumference of the circle are congruent, so:
2x = 42
x = 21.
Hank has 6 black pens, 4 red pens, and 14 pencils in his desk drawer.
If he reaches into his desk drawer and randomly selects something to write with, what is the probability that he will grab a pen?
This diagram shows the plan for a wooden deck. The scale dimensions of the deck are shown.
If the scale used in the diagram is 1/4 = 1ft.
what is the perimeter of the actual deck?
36 ft
48 ft
12 ft
3 ft
Here is Diya's work writing the expression 6 - 2x + 5 + 4x with fewer terms. Describe the mistake that Diya made.
Diya's Work
6- 2x + 5 + 4x
4x +
9x
13x Write an expression equivalent to 6 - 2x + 5 + 4x that has two terms.
Answer:
Below.
Step-by-step explanation:
This is the correct solution:
6 - 2x + 5 + 4x
= -2x + 4x + 6 + 5
= 2x + 11.
It looks like they added unlike terms together (4x + 5) to give 9x (incorrect) then added the 4x to give 13x.
-7-3 log₂ (-n + 10) = -16
Answer:
2
Step-by-step explanation:
-3 log₂ (-n + 10) = -16+7
-3 log₂ (-n + 10) = -9
log₂ (-n + 10) = -9/-3
log₂ (-n + 10) = 3
-n + 10 = 2^3
-n + 10 = 8
n=2
Calculate the volume of the figure below.
Answer:
4080 cm³
Step-by-step explanation:
Figure is of a cuboid
Given length (l) = 30cm
breadth (b) = 17cm
height (h) = 8cm
Volume of cuboid = l.b.h
= 30 × 17 × 8
= 4080 cm³
When two numbers are not equal, an ___ is a sentence that uses the symbols >, <, ≥, ≤, or ≠ to show a relationship.
Answer:
Inequality
Step-by-step explanation:
Inequality is show a comparison between the two quantities which are unequal.
It can be represented:
≤ ⇒ less than or equal to
< ⇒ less than
≠ ⇒ not equal to
> ⇒ greater than
≥ greater than or equal to
Kavinsky
4. At a local print shop, 25 copies cost $1.50. At this rate, how much would 60 copies cost?
Answer:
60 copies would cost 3.60
Step-by-step explanation:
Find the lcd of the given rational equation
The LCD of the rational equation [tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex] is (x + 2) (x -1)(x - 2)
How to determine the LCD?The rational equation is given as:
[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex]
Factorize the quadratic denominator
[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{(x -1)(x - 2)}[/tex]
Write out the denominators
(x + 2), (x - 1) and (x -1)(x - 2)
Remove the repetition
(x + 2) (x -1)(x - 2)
Hence, the LCD of the rational equation is (x + 2) (x -1)(x - 2)
Read more about LCD at:
https://brainly.com/question/10749076
#SPJ1
Find the area of the green triangle
Answer:
16 ft^2
Step-by-step explanation:
The area of a triangle is calculated by multiplying its height and base then dividing it by 2
Height of this triangle is given as 4ft
the base is 8ft
4*8/2 = 16 the area is given is square units so the answer is 16 ft^2
SOMEONE I NEED HELP PLS HELP ME!!
Answer:
PQ = 6 units
Step-by-step explanation:
note that the y- coordinates of P and Q are both - 7
then PQ is the difference in the x- coordinates, that is
PQ = | 7 - 1 | = | 6 | = 6
or PQ = | 1 - 7 | = | - 6 | = 6
the diagram shows a cuboid 4cm, 5cm and 9cm what is the surface area of the cuboid?
length= 9 cm
width= 5 cm
height= 4 cm
to find:the surface area of the given cuboid.
solution:[tex]s.a = 2(lb + bh + lh)[/tex]
[tex]s.a = 2((9 \times 5) + (5 \times 4) + (9 \times 4))[/tex]
[tex]s.a = 2(45 + 20 + 36)[/tex]
[tex]s.a = 2 \times 101[/tex]
[tex]s.a = 202 \: {cm}^{2} [/tex]
therefore, the surface area of the given cuboid is 202 square centimeters.
Help me answer this please
Answer:
scale factor = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
the scale factor is the ratio of corresponding sides , Q to P , then
scale factor = [tex]\frac{3}{4}[/tex]
someone help me find r please!
Answer:
4
Step-by-step explanation:
Write the product using exponents.
I think it is negitave 6 times negitave 6 hope this helps.
15. Federico necesita resolver el problema de encontrar la medida x, en centímetros, del lado del cuadrado de
la figura.
Sabe que el área total de la figura es 45 centímetros cuadrados y determina que el problema se puede
resolver utilizando la ecuación
8x
2
= 45
Las soluciones correctas de esta ecuación son x = -9 y x = 5. Para resolver el problema inicial, de las dos
soluciones de la ecuación, Federico debe presentar como respuesta
A. -9, porque nueve es el único cuadrado perfecto en las soluciones.
B.
C.
las dos, porque al ser soluciones de la ecuación lo son del problema.
ninguna, porque la ecuación no corresponde al problema.
D. 5, porque el lado del cuadrado debe ser un valor positivo.
Al encontrar la medida x del lado del cuadrado, Federico debe presentar como solución igual a 5, ya que el lado del cuadrado debe ser un valor positivo.
¿Cómo calcular el área del cuadrado?Como el cuadrado es una figura geométrica que tiene lados iguales, para realizar el cálculo, debemos tomar la medida de uno de los lados y elevarlo al cuadrado. El cálculo se puede realizar mediante la siguiente fórmula:
A = L²Por lo tanto, la geometría plana se usa para calcular las medidas precisas de la habitación en relación con su área, longitud y altura.
La respuesta correcta es la opción D.
Encuentre más sobre geometría aquí:
https://brainly.com/question/19241268
#SPJ1
can someone help me plss ill mark brainliest
Answer: x^44y^16z^44
Step-by-step explanation:
In the circle below, stack A D with bar on top is a diameter and stack A B with left right arrow on top is tangent at A. Suppose m stack A D C with overparenthesis on top equals 224 degree.
Find the measures of m angle C A B and m angle C A D. Type your numerical answers (without units) in each blank.
m angle C A B =
64
degree
m angle C A D =
26
degree
A circle with a diameter labeled A D, chord A C. A line tangent to the circle at E and that goes through point B on the outside of the circle.
The measure of angle ∠CAB will be 68 degrees and the measure of angle ∠CAD will be 22 degrees.
What is a circle?It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
In the circle below, stack AD with a bar on top is diameter and stack AB with a left-right arrow on top is tangent at A. Suppose m stack ADC with over parenthesis on top equals 224 degrees.
Then the measures of m angle ∠CAB and m angle ∠CAD will be
Then we have
We know that
mADC = mAD + mDC
224° = 180° + mDC
mDC = 44°
Then we know the theorem, A chord's degree in the centre is double that of the chord's degree at the perimeter. Then we have
2 ∠CAD = 44°
∠CAD = 22°
Then the angle ∠CAB and angle ∠CAD are complementary angles. Then we have
∠CAB + ∠CAD = 90°
∠CAB + 22° = 90°
∠CAB = 68°
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ1
Help pleaseEEEEEEEEE i need it badlyyyy
volume: volume of cone is 1/3πr^2h
radius is 2
height is 6
plug into equation: 1/3π(2)^2*6=about 2.55 or 8π
surface area: surface area of cone is πrs+πr^2 where s is slant height.
to find slant height use pythagorean theorem: √(2^2+6^2)=√40
radius: 2
height:6
slant height: √40
plug into equation: π(2)(√40)+π(2^2)=about 52.30 or 4√10π+4π
what is x? 6(x+4)+3x-2
Find the
median of 3,
4, 4, 5, 5, 6,
7, and 7.
Answer:
Answer is 5
Step-by-step explanation:
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
PLEASE HELP!!!!!!!!!!!!!!!!
Using a calculator, it is found that the correlation coefficient for this data is given by:
B. -0.901.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.To find the coefficient, which has symbol r², we input in a calculator the values of x and the values of y, hence:
r² = -0.901.
Which means that option B is correct.
More can be learned about correlation coefficients at https://brainly.com/question/25815006
#SPJ1
The figure below shows a triangular piece of cloth:
What is the length of the portion BC of the cloth? (1 point)
Answer:
BC / 8 = sin 35° by definition.
Step-by-step explanation:
In the figure below, \overline{AC}
AC
start overline, A, C, end overline and \overline{BD}
BD
start overline, B, D, end overline are diameters of circle PPP.
What is the arc measure of minor arc \stackrel{\large{\frown}}{BC}
BC
⌢
B, C, start superscript, \frown, end superscript in degrees?
The measure of minor arc BC is equal to ∠BPC which is 147 degrees.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
From the diagram:
4k + 159 = 2k + 153 (vertical opposite angles are equal)
4k + 159 = 2k + 153
k = -3
Arc Bc = 4k + 159 = 4(-3) + 159 = 147
The measure of minor arc BC is equal to ∠BPC which is 147 degrees.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Answer: 147 :)
Step-by-step explanation:
khan academy
Which is the equation of a trend line that passes through the points (7, 450) and (14, 401)? y = negative 7 x 499 y = negative startfraction 1 over 7 endfraction x 451 y = startfraction 1 over 7 endfraction x 449 y = 7 x 401
The equation of the line that passes through the points (7, 450) and (14, 401) is y + 7x = 499
How to find equation of a line?The equation of a line can be represented as follows:
y - y₁ = m(x - x₁)
where
m = slopeTherefore, (7, 450)(14, 401)
m = 401 - 450 / 14 - 7 = -49 / 7 = -7
Therefore, using (7, 450)
y - 450 = -7(x - 7)
y - 450 = -7x + 49
y + 7x = 49 + 450
y + 7x = 499
learn more on equation of a line here: https://brainly.com/question/3649177
#SPJ4
g(x)= -2/× + p + q
what are values of p and q?
[tex]q = \frac{gx {}^{2} - px + 2}{x} \\ [/tex]
[tex]p= \frac{gx {}^{2} - qx + 2}{x} [/tex]
Given the angle 25°, determine its suppementary angle
Answer: 155°
Step-by-step explanation:
The supplement of 25° is the angle that when added to 25° forms a straight angle (180°).
180°−25°
Subtract 25 from 180.
155°
Hope this helps!
6. You buy a car in 2018 for $12,000. The car depreciates at a rate of 20% annually. What is tha
car worth today?
Answer:
$4,915.2
Step-by-step explanation:
2018 = $12,0002019 = 9,600(20% of 12,000 = 2,400 | 12,000 - 2,400 = 9,600)
2020 = 7,680(20% of 9,600 = 1,920 | 9,600 - 1,920 = 7,680)
2021 = 6,144(20% of 7,680 = 1,536 | 7,680 - 1536 = 6,144)
2022 = $4,915.2(20% out if 6,144 = 1,228.8 | 6,144 - 1,228.8 = 4,915.2)