Answer:
-2 , -10 & -99
Step-by-step explanation:
1)
⇒ x + 6 = 4
⇒ x = 4-6
⇒ x = (-2)
2)
⇒x - (-4) = -6
⇒ x + 4 = -6
⇒ x = -6-4
⇒ x = -10
3)
⇒2(x-1) = -200
⇒ x - 1 = -200/2
⇒ x - 1 = -100
⇒ x = 1 - 100
⇒ x = (-99)
Answer:
1. x= -2 2. ×= -10 3. x= -99
Step-by-step explanation:
1. x+6 = 4
x = 4-6
x = -2
2. x-(-4) = -6
x+4 = -6
x = -6 - 4
x = -10
3. 2(x-1) = -200
2x - 2 = -200
2x = -200 +2
2x = -198
x = -99
Carson packed his movies in a box that is in the shape of a rectangular prism. The height of the box is 17 inches. The length of the box is 1.5 times the height. The volume of the box is 5,635.5 cubic inches. What is the width of the box?
Answer:
Width: 13 inches
Step-by-step explanation:
To find the width of prism you would have to divide the volume of the prism by the area of the cross section.
First calculate the area of the cross section of the prism:
17 × 25.5= 433.5
Then divide the cross section area by the volume:
5635.5 ÷ 433.5= 13
The width is 13 inches
Write a quadratic equation in standard form with [tex]\frac{3}{4}[/tex] an -5 as its roots
Knowing the roots first write the equation in factored form:
(X - 3/4)(x +5) = 0
Now use the FOIL method ( multiply each term in one set of parentheses by each term the other set:
X•x + x•5 -3/4•x -3/4•5
Simplify:
X^2 + 5x -3/4x -3 3/4
Combine like terms:
X^2+ 4 1/4x - 3 3/4
6. Select the coldest temperature from the list below. * O -11°F O 7°F O -4°F O 20°F
Answer:
-11 degrees Fahrenheit.
Step-by-step explanation:
the higher the negative number is, the colder it gets <D
what's 13.564^4x3.59^-39?
Answer:
0
Step-by-step explanation:
hope this helps :)
Simplify w x 12 x 3
Helppp
Answer:-x • (w2 - 12)
——————————————
3w
Write an expression that can be used to find the length of JH and an expression that can be used to find the length of GJ.
Answer: JH = 9 sin(35)
not sure about GH...
Step-by-step explanation:
The ratio of opposite side of the triangle hypotenuse side of triangle is equal to sine of angle.
The expression required to fine the length of GJ is,
[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]
The length of the [tex]GJ[/tex] is 5.162 units.
What is right angle triangle?A right angle triangle is the triangle in which measure of one of the angle is equal to the 90 degrees.
The ratio of opposite side of the triangle hypotenuse side of triangle is equal to sine of angle.
Given information-
In the given triangle shown in the figure,
[tex]\angle JGH=35[/tex]
The angle [tex]\angle HJG[/tex] is right angle, which is equal to the 90 degrees.
As the sum of all the angles of a triangle is equal to the 180 degrees. Thus,
[tex]\angle JGH+\angle HJG+\angle GHJ=180\\[/tex]
Put the values,
[tex]35+90+\angle GHJ=180\\125+\angle GHJ=180\\\angle GHJ=180-125\\\angle GHJ=55[/tex]
In the given triangle, the side [tex]GJ[/tex] is the opposite side of the triangle and [tex]GH[/tex] is the hypotenuse side of the triangle.
Thus the length of the [tex]GJ[/tex] for the right triangle can be given as,
[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]
This is the required expression,
[tex]GJ=\sin 35\times9\\GJ=0.574\times9\\GJ=5.162[/tex]
Thus the length of the [tex]GJ[/tex]5.162 units.
The expression required to fine the length of GJ is,
[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]
The length of the [tex]GJ[/tex]5.162 units.
Learn more about the sides of a right triangle here;
https://brainly.com/question/14517390
Look at the triangle: A right angle triangle is shown with hypotenuse equal to 17 centimeters. An acute angle of the triangle is labeled as x degrees What is the value of cos x°? (1 point) 8 ÷ 17 17 ÷ 8 15 ÷ 17 8 ÷ 15 I can't put in the photo. So, description. h- 17cm o- 8cm a- 15cm. This is a right triangle btw. (this is 9th grade work)
Answer:
15 ÷ 17
Step-by-step explanation:
Since our hypotenuse side is 17 cm, our opposite side is 8 cm and our adjacent side is 15 cm. Since the acute angle is x degrees,
From trigonometric ratios, cosx° = adjacent/hypotenuse
= 15 cm/17 cm
= 15/17
= 15 ÷ 17
Mrs, carp's class has 11 boys and 17 girls. what is the probability that she will randomly chose a girl first and then a boy?
Possible answers ⇒
0.18
0.24
0.33
0.48
WILL GIVE BRAINLIST
What is the area of this cross section of this rectangular prism? Enter your answer in the box.
10 in.
16 in.
16 in.
Answer:
1152in²
Step-by-step explanation:
Given the following
Length = 10in
Width = 16in
Height = 16in
surface area of the prism = 2(LW + WH + LH)
surface area of the prism = 2(10*16+ 16*16 + 10*16)
surface area of the prism = 2(160+256+160)
surface area of the prism = 2(576)
surface area of the prism = 1152in²
Tad and his buddies drove to the orange bowl to see their favorite football team win the national championship because of heavy traffic they only avsraged 50 mph however on the return trip they averaged 75 mph if the total round trip took 12 hours how long did it take tad and his buddies to drive to the orange bowl
Answer:
7.2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Distance "D" = rate × time
or d = r × t.
Tad and his buddies drove to the orange bowl(while going) -50mph
Tad and his buddies while returning from a trip -75mph
Total round trip = 12 hours
Distance while going = 50 x t
Distance while returning = 75 (12 - t)
50t = 75(12 -t)
50t = 900 -75t
50t + 75t = 900
125t = 900
t = 900/125
t= 7.2
The total number of hours it takes Tad and his buddies to drive to the orange bowl is 7.2 hours.
Raffia went shopping for new furniture he bought a couch for $750 and a mattress for 950 dollars. When he came home he had $350 in his purse. How much money did he have when he left home. Please answer step by step will mark brainliest and thanks !!!!!!!!!!!
Answer:
$2050
Step-by-step explanation:
750+950+350
write the ratios sin m, cos m, and tan m. give the exact value and four decimal approximation. Please help.
Trigonometric functions are the ratio of different sides of a triangle. The ratios sin∠m, cos∠m, and Tan∠m are 0.758, 0.6522, and 1.1624.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
As it is given that the base of the triangle for the ∠m is Mk(15 units), the perpendicular is KL(4√19), and the hypotenuse is 23. Now, the trigonometric ratios can be written as,
Sine
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\\rm Sin (\angle m)=\dfrac{KL}{ML}\\\\\\\rm Sin (\angle m)=\dfrac{4\sqrt{19}}{23}\\\\\\\rm Sin (\angle m)=0.758069\approx 0.758[/tex]
Cosine
[tex]\rm Cos\theta=\dfrac{Base}{Hypotenuse}\\\\\\\rm Cos(\angle m)=\dfrac{MK}{ML}\\\\\\\rm Cos(\angle m)=\dfrac{15}{23}\\\\\\\rm Cos (\angle m)=0.65217\approx 0.6522[/tex]
Tangent
[tex]\rm Tan\theta=\dfrac{Perpendicular}{Base}\\\\\\\rm Tan(\angle m)=\dfrac{KL}{MK}\\\\\\\rm Tan(\angle m)=\dfrac{4\sqrt{19}}{15}\\\\\\\rm Tan(\angle m)=1.16237\approx 1.1624[/tex]
Hence, the ratios sin m, cos m, and tan m are 0.758, 0.6522, and 1.1624.
Learn more about Trigonometric functions:
https://brainly.com/question/6904750
a car can travel 174 miles in 4 hours how many miles can the car travel per hour
Answer:
43.5
divide 174 ÷ 4 and you get 43.5
5
7
9
4
In percents?
Answer:
Convert the decimal to a percentage by multiplying the decimal by
100 .
500%
700%
900%
400%
When you find volume of a 3-D shape, you are finding the measurement of the outside of the shape.
Group of answer choices
True
False
answer easy question quick
Answer:
Step-by-step explanation:
a) 9.80- 98/10
b) 7.3- 73/10
a) 7/100- 0.07
b) 82/10- 8.2
Hope this helps
Fraction:
a) 98/100
b) 73/10
Decimal:
a) 0.07
b) 8.2
I've got a problem and I need solving! Please find the answer.
Answer: x= 4y/7 - 1/7
7x/4+ 1/4
Step-by-step explanation:
2) Michael decides to go for a cycle ride. He rides a
distance of 80 km at an average speed of 24 km/h.
Work out how long Michael’s ride takes
Step-by-step explanation:
REMEMBER D/S×T (triangle)
therefore, finding time
D/S
80/24
make sure to press the degrees button on your calculator
3 hours and 20 minutes
Please i need help. Thank you!
Eva has read over 25 books each year for the past three years.
A. Write an inequality to represent the number of books that Eva has read each year.
B. If Eva reads exactly 25 books this year, will the inequality from part A still be true? Explain how you know.
C. What is the smallest total number of books Eva can read over the next five years so that the inequality in part A remains true each year? Explain how to find your answer, and show all work to support your explanation.
Answer:
its 16 books
Step-by-step explanation:
iv had this problwm b4
Which angle is congruent to <4 <1<2<5<8
Answer:
The angle that will be congruent to angle 4 is :
Angle 1
Step-by-step explanation:
It is given that:
angle 4 and angle 5 are complements.
Also, angle 1 and angle 5 are complements.
Congruent complementary Theorem--
It states that if two angles are complementary to the same angle, then the two angles are congruent to each other.
Here both angle 1 and angle 4 are complementary to the same angle i.e. angle 5.
Rob and Mary are planning trips to nine countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.
show me how to solve
Answer:
they will skip 4
Step-by-step explanation:
Answer:
They will have to skip the ones that are less desirable to them
Mr. Johnson drove 4 1/3 miles on Monday and 5 1/2 miles on Tuesday, How many miles did Mr. Johnson drive altogether?
Answer:
9 [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
help please 100 point
Answer:
Solution given:
we have
<A+<B=exterior <C[sum of two opposite interior angle of a triangle is equal to the exterior angle in a triangle]
So
3x-13+ 2x+4=116°
5x-9=116°
5x=116°+9°
x=125/5
x=25
Now
<A=3×25-13=62°
<B=2×25+4=54°
Answer:
[tex]3x - 13 + 2x + 4 = 166 \\ 5x - 9 = 116 \\ 5x = 166 + 9 \\ 5x = 125 \\ x = \frac{125}{5} \\ x = 25 \\ \\ a = 3 \times 25 - 13 = 62 \\ b = 2 \times 25 + 4 = 54[/tex]
Soon Yee was putting together her notebook after the first day of
school. She bought a pack of 200 sheets of loose-leaf notebook
paper and some dividers. She wanted to put the same amount of
paper in each of the four sections for her core subjects: math,
history, English and science. She figured that herſtwaelective
courses (art and music) each only needed half bf the amount of
paper that a core subject needed. How many sheets of paper did
she put into the art section of her notebook?
Answer: Since her art and music sections each only had half the number of sheets of paper as a core subject, together the two sections had the same amount of paper as a core subject. Therefore, it is almost like her notebook had five core subjects, rather than four core subjects and two electives. If she divided the 200 sheets equally among the five core subjects, there would be 200 ÷ 5 = 40 sheets in each section. Now we can see that art would actually have half of this amount, or 20 sheets of paper.
Please help me!! No files allowed. I need the answer and an explanation!
Answer:
I belive the answer is 1/324
What is the volume of the following rectangular prism? height : 1 3/4
base : 1/2
Answer:
I need length, width, and height to find the volume, the equation is LxWxH
So it would be L x W x 1 3/4
Step-by-step explanation:
If you comment what the length and width is ill do it!
Use pie= 22/7 to approximate the circumference of a circle whose diameter is 28 inches.
Answer:
88 inches
Step-by-step explanation:
formula for circumference: 2pir or pi*diameter
22/7*28=88
88 inches
What is the volume, in cubic in, of a rectangular prism with a height of 16in, a width
of 10in, and a length of 17in?
Answer:
45 inches
Step-by-step explanation:
got it right on edg
Answer:
2720
Step-by-step explanation:
how can you find the diameter of this circke
Answer:
10cm
Step-by-step explanation:
pretty sure the diameter is measured by multiplying the radius twice :)
Answer:
Diameter = 10 cm
Circumference = 31.43 cm
Area = 78.57 cm²